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Journal articles on the topic 'Desired function'

Author: Grafiati

Published: 5 June 2025

Last updated: 16 July 2025

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TAKAHASHI, Kojiro. "On Desired Phisiological Function of Sake." JOURNAL OF THE BREWING SOCIETY OF JAPAN 85, no. 5 (1990): 286–92. http://dx.doi.org/10.6013/jbrewsocjapan1988.85.286.

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Papp, Istvan I., Zoran M. Saric, Slobodan T. Jovicic, and Nikola Dj Teslic. "Adaptive microphone array for unknown desired speaker’s transfer function." Journal of the Acoustical Society of America 122, no. 2 (2007): EL44—EL49. http://dx.doi.org/10.1121/1.2749077.

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Feng, Hsuan Ming, Ching Chang Wong, and Ji Hwei Horng. "RBFNs Nonlinear Control System Design through BFPSO Algorithm." Applied Mechanics and Materials 764-765 (May 2015): 619–23. http://dx.doi.org/10.4028/www.scientific.net/amm.764-765.619.

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All parameters are automatically extracted by the bacterial foraging particle swarm optimization (BFPSO) algorithm to approach the desired control system. Three parameterize basis function neural networks (RBFNs) model to solve the car-pole system problem. Several free parameters of radial basis functions can be automatically tuned by the direct of the specified fitness function. In additional, the proper number of radial basis functions (RBFs) of the constructed RBFNs can be chosen by the defined fitness function which takes this factor into account. The desired multiple objectives of the RBFNs control system are proposed to simultaneously approach the smaller errors with a fewer RBFs number. Simulations show that the developed RBFNs control systems efficiently achieve the desired the setting lot as soon as possible.

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Hague, David A. "Designing waveforms with desired ambiguity function mainlobe and sidelobe structure." Journal of the Acoustical Society of America 144, no. 3 (2018): 1970–71. http://dx.doi.org/10.1121/1.5068613.

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Esmaeili-Najafabadi, Hamid, Henry Leung, and Peter W. Moo. "Unimodular Waveform Design With Desired Ambiguity Function for Cognitive Radar." IEEE Transactions on Aerospace and Electronic Systems 56, no. 3 (2020): 2489–96. http://dx.doi.org/10.1109/taes.2019.2942411.

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KOSAKA, Manabu, Fumitaka KIMURA, and Hiroshi SHIBATA. "An Adaptive Control Referring to the Desired Complementary Sensitivity Function." Transactions of the Institute of Systems, Control and Information Engineers 9, no. 11 (1996): 485–94. http://dx.doi.org/10.5687/iscie.9.485.

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Corzo, Otoniel, and Eddie R. Gomez. "Optimization of osmotic dehydration of cantaloupe using desired function methodology." Journal of Food Engineering 64, no. 2 (2004): 213–19. http://dx.doi.org/10.1016/j.jfoodeng.2003.09.035.

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Choyubekov, S., and A. Choyubekova. "Regularization of the Solution of a Nonlinear Integral Equation of the First Kind." Bulletin of Science and Practice 9, no. 12 (2024): 30–38. https://doi.org/10.33619/2414-2948/97/03.

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Integral equations, the main branch of mathematics, are widely used in physics, engineering, mechanics, control theory and other fields. Related to the application of integral equations, new fields are developing, such as economics, some sections of biology, etc. The theory of integral equations mainly developed in the late nineteenth-early twentieth century, starting with Vito Volterra (1982, 1986), Eric Ivar Fredholm (2010), David Hilbert, Erhard Schmidt, etc. scientists began to study it. Nevertheless, within the framework of mathematical concepts that existed before the first half of the twentieth century, such problems were considered incorrect because a small change in the given functions led to a greater change in the desired functions. The Volterra equation of the first kind is an integral equation that has an exact solution only in some cases. The limit of integration has been carried out in very small quantities on non-classical linear and nonlinear integral equations with variable limits and the construction of solutions in these works is based on numerical methods. Therefore, for the so-called non-classical Volterra integral equations, it is relevant to determine the conditions that ensure the uniqueness and regularization of their solutions. In this paper, the uniqueness of the solution of the non-classical nonlinear integral Volterra equation of the first kind is resolved. The aim of the study is to solve the non-classical Volterra integral equation of the first kind, that is, to determine the conditions that ensure the uniqueness of the solution of the nonlinear non-classical Volterra integral equation of the first kind. The proposed methods can be used for the study of integral, integral-differential equations such as the Volterra integral equation of the first kind, as well as for the qualitative study of some applied processes in physics, ecology, medicine, geophysics, and the theory of control of complex systems.

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Boldero, Jennifer, and Jill Francis. "Goals, Standards, and the Self: Reference Values Serving Different Functions." Personality and Social Psychology Review 6, no. 3 (2002): 232–41. http://dx.doi.org/10.1207/s15327957pspr0603_7.

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We examine reference values used in self-regulation research and identify two functions they fulfill: a standard function and a goal function. The standard function occurs when a reference value represents a desired state for the self in the present whereas the goal function occurs when a reference value represents a desired state for the self in the future. We argue that different factors influence the emotional, motivational, and behavioral outcomes of these functions. The magnitude of any discrepancy with a “standard” is important, whereas for a “goal,” the rate of discrepancy reduction, relative to an “expected” rate, is important. A review of the empirical literature supports these propositions. Consequently, we propose that future research should in-corporate our distinction between these two functions.

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Antonova, T. A., and A. V. Semenov. "Procedure of synthesising astatic digital tracking systems analytically from continuous prototypes." Journal of «Almaz – Antey» Air and Space Defence Corporation, no. 2 (June 30, 2017): 43–48. http://dx.doi.org/10.38013/2542-0542-2017-2-43-48.

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The article deals with the problem of synthesising astatic digital tracking systems analytically, taking into account the requirements for astaticism quality and order; solving this problem leads to finding the desired transfer function of a discrete system based on a continuous prototype (a continuous transfer function). The advantage of the method specified above is that it makes it possible to eliminate the procedure bias caused by quantising desired transfer functions of continuous systems when synthesising astatic discrete systems. This bias is inherent in other synthesis methods that assume that reducing the sampling period will also lower the constant error. We used the MATLAB environment to develop our software implementing this method for automated construction of a desired transfer function of a discrete system

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Rincón, Alejandro, Fredy E. Hoyos, and John E. Candelo-Becerra. "Conditioned Adaptive Control for an Uncertain Bioreactor with Input Saturation and Steep Settling Desired Output." Symmetry 14, no. 6 (2022): 1232. http://dx.doi.org/10.3390/sym14061232.

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In this work, a controller is developed for a continuous bioreactor with an unknown reaction rate term, subject to input saturation. The substrate concentration and the dilution rate are chosen as output and input, respectively. The controller formulation and the stability analysis are performed by the theory of dead zone Lyapunov functions, Lyapunov stability, and model reference adaptive control. As the main results, the dynamics of the Lyapunov function is determined separately for saturation and non-saturation events, and then a unified expression is deduced. In addition, the asymptotic convergence of the tracking error and boundedness of updated parameters are determined for the whole closed loop regime encompassing saturation and non-saturation events, and also for input saturation events, as a function of the terms and parameters of the reference and system models. The main contributions over closely related control designs, are (i) the effect of input constraint limits and desired output on the convergence of the tracking error during input saturation events are determined, considering settling behavior of the desired output with a steep section; (ii) the upper limit of the input constraint that guarantees output convergence during input saturation events is determined as function of the model terms, but independently of the time derivative of the desired output and its limit; (iii) a new dead zone Lyapunov function is proposed which allows proving asymptotic convergence of the tracking error during input saturation events in the presence of a fast variation in the desired output. Finally, the effectiveness and advantages of the developed controller are illustrated by simulation.

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Cai, Liangcheng, Yong He, and Min Wu. "On the effects of desired damping matrix and desired Hamiltonian function in the matching equation for Port–Hamiltonian systems." Nonlinear Dynamics 72, no. 1-2 (2012): 91–99. http://dx.doi.org/10.1007/s11071-012-0693-7.

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Beisenbi, M., А. Temirbek, and A. Maimurynova. "REFERENCE MODEL SELECTION OF THE ADAPTIVE CONTROL SYSTEM FOR AN OBJECT WITH SINGLE-INPUT AND SINGLE-OUTPUT." BULLETIN Series of Physics & Mathematical Sciences 76, no. 4 (2021): 15–20. http://dx.doi.org/10.51889/2021-4.1728-7901.02.

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One of the most promising ways to solve the problem of control in the conditions of uncertainty of the characteristics of the control object and external influences is the use of adaptation methods. The article proposes to investigate the asymptotic robust stability of the reference model with the desired dynamics, using the gradient-velocity method of the Lyapunov vector-function. Considering control systems as gradient systems, and Lyapunov functions as potential functions allowed us to develop a universal gradient-velocity method of the Lyapunov vector-function, which allows to investigate the aperiodic robust stability of the reference model by the desired dynamics.

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Wang, Guohua, and Yufa Sun. "Broadband Adaptive RCS Computation through Characteristic Basis Function Method." Journal of Electrical and Computer Engineering 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/195409.

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A broadband radar cross section (RCS) calculation approach is proposed based on the characteristic basis function method (CBFM). In the proposed approach, the desired arbitrary frequency band is adaptively divided into multiple subband in consideration of the characteristic basis functions (CBFs) number, which can reduce the universal characteristic basis functions (UCBFs) numbers after singular value decomposition (SVD) procedure at lower subfrequency band. Then, the desired RCS data can be obtained by splicing the RCS data in each subfrequency band. Numerical results demonstrate that the proposed method achieve a high accuracy and efficiency over a wide frequency range.

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Neysa Ivah Umma and Yitno Utomo. "Development of Generator Set Product Services Using Quality Function Deployment at PT X." Jurnal Sistem Teknik Industri 25, no. 2 (2023): 298–311. http://dx.doi.org/10.32734/jsti.v25i2.11890.

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In the service industry, service quality has a significant effect on customer satisfaction. The manufacturing industry and the service industry have different characters, as well as the measurement of the quality of the services produced. The company's ignorance of customer desires and expectations of the services provided causes services far from the expectations desired by the company which can result in moving consumers to competitors who will provide services in accordance with their expectations. Therefore, this research was conducted with the aim of developing services in generator rental using Quality Function Deployment (QFD) method with the hope of providing an overview of the desires and expectations desired by consumers for services owned by PT X. The results of the Quality Function Deployment analysis of the highest scale factor value in the analysis using the QFD method the top order is on the characteristics of "Adding Genset Stock That Does Not Exist" with a score of 185.

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Mulyaningrum, Wieke, and Endang Sumarti. "Tindak Tutur Direktif dalam Pidato Presiden Joko Widodo di Masa Pandemi Covid-19." Prosiding Seminar Nasional IKIP Budi Utomo 1, no. 01 (2020): 138–46. http://dx.doi.org/10.33503/prosiding.v1i01.1023.

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The directive speech act is a speech act that functions to encourage the speech partner to do something as desired by the speaker. Speech is an activity of speaking in public that conveys information aimed at many people. Speeches are only delivered by certain people such as the president, governors, mayors, and so on. A speech act is a speech that has a directive meaning which functions to influence other people to do something as desired by the speaker. This study aims to obtain an objective picture of the directive speech acts in President Joko Widodo's speech during the Covid-19 pandemic. This research uses a qualitative approach. The research found that directive speech acts include a form of the command with a commanding function, a form of request with a function of asking, an invitation form with an inviting function and a form of advice with an advise function.

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Kang, Seyoung, Seonkyo Kim, Cheolsun Park, and Wonzoo Chung. "Design Method for a Wideband Non-Uniformly Spaced Linear Array Using the Modified Reinforcement Learning Algorithm." Sensors 22, no. 14 (2022): 5456. http://dx.doi.org/10.3390/s22145456.

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In this paper, we present a design method for a wideband non-uniformly spaced linear array (NUSLA), with both symmetric and asymmetric geometries, using the modified reinforcement learning algorithm (MORELA). We designed a cost function that provided freedom to the beam pattern by setting limits only on the beam width (BW) and side-lobe level (SLL) in order to satisfy the desired BW and SLL in the wide band. We added the scan angle condition to the cost function to design the scanned beam pattern, as the ability to scan a beam in the desired direction is important in various applications. In order to prevent possible pointing angle errors for asymmetric NUSLA, we employed a penalty function to ensure the peak at the desired direction. Modified reinforcement learning algorithm (MORELA), which is a reinforcement learning-based algorithm used to determine a global optimum of the cost function, is applied to optimize the spacing and weights of the NUSLA by minimizing the proposed cost function. The performance of the proposed scheme was verified by comparing it with that of existing heuristic optimization algorithms via computer simulations.

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Sawyerr, Babatunde A., Aderemi O. Adewumi, and M. Montaz Ali. "Benchmarking RCGAu on the Noiseless BBOB Testbed." Scientific World Journal 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/734957.

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RCGAu is a hybrid real-coded genetic algorithm with “uniform random direction” search mechanism. Theuniform random directionsearch mechanism enhances the local search capability of RCGA. In this paper, RCGAu was tested on the BBOB-2013 noiseless testbed using restarts till a maximum number of function evaluations (#FEs) of 105×Dare reached, whereDis the dimension of the function search space. RCGAu was able to solve several test functions in the low search dimensions of 2 and 3 to the desired accuracy of 108. Although RCGAu found it difficult in getting a solution with the desired accuracy 108for high conditioning and multimodal functions within the specified maximum #FEs, it was able to solve most of the test functions with dimensions up to 40 with lower precisions.

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Yao, Xuelian, Yi Yang, and Mingming Su. "A novel adaptive actuator failure compensation scheme based on multi-design integration for half-car active suspension system." Advances in Mechanical Engineering 11, no. 12 (2019): 168781401989409. http://dx.doi.org/10.1177/1687814019894097.

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A new actuator failure compensation scheme in the presence of actuator failures with multi-uncertainties is proposed for half-car active suspension systems based on multi-design integration. A parameterized function has been introduced to denote the multiple failures occurred in the front and rear actuators. An effective feedback controller is designed to obtain asymptotic tracking and closed-loop system stability by employing backstepping technique. Based on the desired controller, multiple adaptive control signals are designed corresponding to each possible failure case. By introducing failure indicator functions and integrating these control signals, a composite controller is constructed to handle all failure patterns, which ensures both pitch and vertical motions of car body to stabilize and track the desired signals. Finally, simulation is conducted to verify the effectiveness of the controller proposed in this study.

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Vahabi, Zahra, and Saeed Kermani. "Desired accuracy estimation of noise function from ECG signal by fuzzy approach." Journal of Medical Signals & Sensors 2, no. 3 (2012): 176. http://dx.doi.org/10.4103/2228-7477.112151.

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Demiralp, Metin. "No fluctuation approximation in any desired precision for univariate function matrix representations." Journal of Mathematical Chemistry 47, no. 1 (2009): 99–110. http://dx.doi.org/10.1007/s10910-009-9533-5.

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Aguiló, I., J. Suñer, and J. Torrens. "How to modify a fuzzy implication function to satisfy a desired property." International Journal of Approximate Reasoning 103 (December 2018): 168–83. http://dx.doi.org/10.1016/j.ijar.2018.09.011.

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Malyshev, Ksaverii, Mikhail Malykh, Leonid Sevastianov, and Alexander Zorin. "On Summation of Fourier Series in Finite Form Using Generalized Functions." Mathematics 13, no. 3 (2025): 538. https://doi.org/10.3390/math13030538.

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The problem of obtaining a final expression for a function initially given in the form of a trigonometric Fourier series is considered. We consider a special case of a series when the coefficients of the series are known and are rational functions of the harmonic number. To obtain the final expression, we propose to formulate a differential equation with constant coefficients for the function. A special feature of the proposed approach is the consideration of non-homogeneous equations, with the sum of the divergent Fourier series as the non-homogeneity. In this way, it is possible to compose expressions for the desired functions in the form of quadratures and formulate sufficient conditions for the representability of the desired function in the form of piecewise Liouville elementary functions. In this case, it becomes possible to describe in the language of distribution theory a class of Fourier series that can be summed in a finite form using the method of A. N. Krylov.

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Liu, Xiang, and Xiaogeng Liang. "Integrated Guidance and Control of Interceptor Missile Based on Asymmetric Barrier Lyapunov Function." International Journal of Aerospace Engineering 2019 (April 28, 2019): 1–17. http://dx.doi.org/10.1155/2019/8531584.

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In this study, a novel integrated guidance and control (IGC) algorithm based on an IGC method and the asymmetric barrier Lyapunov function is designed; this algorithm is designed for the interceptor missile which uses a direct-force/aerodynamic-force control scheme. First, by considering the coupling between the pitch and the yaw channels of the interceptor missile, an IGC model of these channels is established, and a time-varying gain extended state observer (TVGESO) is designed to estimate unknown interferences in the model. Second, by considering the system output constraint problem, an asymmetric barrier Lyapunov function and a dynamic surface sliding-mode control method are employed to design the control law of the pitch and yaw channels to obtain the desired control moments. Finally, in light of redundancy in such actuators as aerodynamic rudders and jet devices, a dynamic control allocation algorithm is designed to assign the desired control moments to the actuators. Moreover, the results of simulations show that the IGC algorithm based on the asymmetric barrier Lyapunov function for the interceptor missile allows the outputs to meet the constraints and improves the stability of the control system of the interceptor missile.

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Yang, D. C. H., S. H. Tong, and J. Lin. "Deviation-Function Based Pitch Curve Modification for Conjugate Pair Design." Journal of Mechanical Design 121, no. 4 (1999): 579–86. http://dx.doi.org/10.1115/1.2829502.

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In this paper a method for generating new conjugate kinematic pairs is developed. This method, called the “Deviation-Function ” method, is to use deviation functions to reshape the original pitch pairs so that the desired profiles of generated pairs can be obtained. A deviation function is defined as the distance between contacts and their corresponding instant centers of two conjugate pairs. In other words, a deviation function measures the amount of deviation of a point on the generated profile from its corresponding point on the original pitch profile. As demonstrated, this new method is applicable to any type of pitch pairs including circular or noncircular and identical or nonidentical. In addition, by using this method, it is relatively easier to realize desired geometrical and mechanical properties into the design.

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Selescu, Richard. "Reccurent-Iterative Scheme to approximate as Desired the Complete Elliptic Integrals." International Journal of Computational and Applied Mathematics & Computer Science 2 (December 8, 2022): 91–105. http://dx.doi.org/10.37394/232028.2022.2.14.

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Two sets of closed analytic formulas are proposed for the approximate calculus of the complete elliptic integrals K(k) and E(k) in the normal form due to Legendre, their expressions having a remarkable simplicity and accuracy. The special usefulness of the newly proposed formulas consists in they allow performing the analytic study of variation of the functions in which they appear, using derivatives, being expressed in terms of elementary (especially algebraic) functions only, without any special function (this would mean replacing one difficulty by another of the same kind). Comparative tables of so found approximate values with the exact ones, reproduced from special functions tables, are given (wrt the elliptic integrals’ modulus k). The first set of formulas was suggested by Peano’s law on ellipse’s perimeter. The new functions and their derivatives coincide with the exact ones at k = 0 only. As for simplicity, the formulas in k / k don’t need mathematical tables nor advanced calculators, being purely algebraic. As for accuracy, the second set, something more intricate, gives more accurate values and extends more closely to k = 1. An original fast converging recurrent-iterative scheme to get sets of formulas with the desired accuracy is given in appendix 1. Using the results obtained by applying the newly proposed approximate formulas a method to approximate the complete elliptic integral Π(n, k) is given in appendix 2.

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Zhang, Baoxing, Yunkun Zhang, and Yuanyuan Xie. "Generating irregular fractals based on iterated function systems." AIMS Mathematics 9, no. 5 (2024): 13346–57. http://dx.doi.org/10.3934/math.2024651.

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<abstract><p>The iterated function system (IFS) is important in different fields like image compression. An important feature of such systems is that they can be used to generate fractals. Yet, for the obtained fractals, it is difficult to locally control them to generate new ones with desired structures at specific places. In this paper, we gave an attempt to solve this problem based on a nonuniform multiple function system. For this, we first analyzed the multiple function systems needed in the generation of the final desired fractals. Based on such analysis, the final fractals with desired structures at specific places can be generated using the nonuniform multiple function system. Moreover, these two procedures were summarized into two algorithms for convenience. Examples were also given to illustrate the performance of the nonuniform multiple function system and the two algorithms in this paper.</p></abstract>

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Hong, Zhou, and Ling Xieting. "Generating Chaotic Secure Sequences with Desired Statistical Properties and High Security." International Journal of Bifurcation and Chaos 07, no. 01 (1997): 205–13. http://dx.doi.org/10.1142/s0218127497000145.

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This work proposes a class of one-dimensional analogue chaotic signals which have perfect statistical properties. A non-invertible transformation is introduced to generate a class of binary (symbolic) chaotic sequences with desired distribution function and correlation function. These binary chaotic secure sequences are proven to have near-ideal linear complexity and infinite large discrete correlation dimension, thus they cannot be reconstructed by linear-feedback shift-register (LFSR) techniques or nonlinear dynamics (NLD) forecasting in finite order.

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Kim, D. P. "Algebraic Method for the Synthesis of Astatic Continuous-Time Control Systems." Mekhatronika, Avtomatizatsiya, Upravlenie 20, no. 5 (2019): 274–79. http://dx.doi.org/10.17587/mau.20.274-279.

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An algebraic method for the synthesis of astatic continuous-time control systems is considered. The method is based on the construction of the desired transfer function (DTF) from given performance indicators (setting time, overshoot, etc.) and a given plant transfer function. The construction of DTF is based on the use of the desired normalized transfer function (NTF). The desired NTF is the transfer function whose denominator is a monic polynomial with unit free term and whose performance indicators, except for the setting time, coincide with those of the DTF. Therefore, one can obtain the DTF by constructing the desired NTF and then by applying the inverse transform with transformation ratio equal to the ratio of the setting time of the system to be synthesized to that of the system with the desired NTF. The desired NTF is assembled from standard NTFs. There are various standard NTFs: binomial, arithmetic, and geometric. The type of an NTF is determined by its characteristic polynomial; an NTF is said to be binomial if its characteristic polynomial is the Newton binomial and arithmetic or geometric if the roots of its characteristic polynomial form an arithmetic or a geometric progression, respectively. When constructing the desired NTF, three conditions must be met: the physical feasibility of the controller, solvability, and robustness. These three conditions determine the degrees of the characteristic equation of the system to be synthesized and the degrees of the unknown polynomials that are introduced in the synthesis process. After that, according to the given performance indicators, the type of the desired NTF is determined. Here we find only the denominator of the desired NTF. If the system to be synthesized is rth-order astatic and the plant does not contain right poles and zeros, then the numerator of the desired NTF is equal to the sum of the last r terms of the characteristic polynomial. After the system DTF has been obtained, the transfer function of the controller is determined by equating the transfer function of the closed-loop system with the DTF.

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Saleem, Ahmed, Abdul Basit, Muhammad Fahad Munir, et al. "Alternating Direction Method of Multipliers-Based Constant Modulus Waveform Design for Dual-Function Radar-Communication Systems." Entropy 25, no. 7 (2023): 1027. http://dx.doi.org/10.3390/e25071027.

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In this paper, we design constant modulus waveforms for dual-function radar-communication (DFRC) systems based on a multi-input multi-output (MIMO) configuration of sensors for a far-field scenario. At first, we formulate a non-convex optimization problem subject to waveform synthesis for minimizing the interference power while maintaining a constant modulus constraint. Next, we solve this non-convex problem, iteratively, using the alternating direction method of multipliers (ADMM) algorithm. Importantly, the designed waveforms approximate a desired beampattern in terms of a high-gain radar beam and a slightly high gain communication beam while maintaining a desired low sidelobe level. The designed waveforms ensure an improved detection probability and an improved bit error rate (BER) for radar and communications parts, respectively. Finally, we demonstrate the effectiveness of the proposed method through simulation results.

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Wang, Dapeng, Shaogang Liu, Youguo He, and Jie Shen. "Barrier Lyapunov Function-Based Adaptive Back-Stepping Control for Electronic Throttle Control System." Mathematics 9, no. 4 (2021): 326. http://dx.doi.org/10.3390/math9040326.

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This paper presents an adaptive constraint control approach for Electronic Throttle Control System (ETCS) with asymmetric throttle angle constraints. The adaptive constraint control method, which is based on barrier Lyapunov function (BLF), is designed not only to track the desired throttle angle but also to guarantee no violation on the throttle angle constraints. An ETC mathematic model with complex non-linear system is considered and the asymmetric barrier Lyapunov function (ABLF) is introduced into the design of the controller. Based on Lyapunov stability theory, it can be concluded that the proposed controller can guarantee the stability of the whole system and uniformly converge the state error to track the desired throttle angle. The results of simulations show that the proposed controller can ensure that there is no violation on the throttle angle constraints.

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Matei, Radu. "Design of Adjustable Square-Shaped 2D IIR Filters." ISRN Signal Processing 2013 (September 11, 2013): 1–10. http://dx.doi.org/10.1155/2013/796830.

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This paper proposes an analytical design method for two-dimensional square-shaped IIR filters. The designed 2D filters are adjustable since their bandwidth and orientation are specified by parameters appearing explicitly in the filter matrices. The design relies on a zero-phase low-pass 1D prototype filter. To this filter a frequency transformation is next applied, which yields a 2D filter with the desired square shape in the frequency plane. The proposed method combines the analytical approach with numerical approximations. Since the prototype transfer function is factorized into partial functions, the 2D filter also will be described by a factorized transfer function, which is an advantage in implementation.

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Shilin, Andrei P. "Explicit solution of one hypersingular integro-differential equation of the second order." Journal of the Belarusian State University. Mathematics and Informatics, no. 2 (August 1, 2019): 67–72. http://dx.doi.org/10.33581/2520-6508-2019-2-67-72.

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The linear equation on the curve located on the complex plane is studied. The equation contains the desired function, its derivatives of the first and second orders, as well as hypersingular integrals with the desired function. The coefficients of the equation have a special structure. The equation is reduced to the Riemann boundary value problem for analytic functions and two second order linear differential equations. The boundary value problem is solved by Gakhov formulas, and the differential equations are solved by the method of variation of arbitrary constants. The solution of the original equation is constructed in quadratures. The result is formulated as a theorem. An example is given.

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Tsai, Nan-Chyuan. "Active Controller Design for Microgravity Isolation Systems." Shock and Vibration 9, no. 6 (2002): 307–17. http://dx.doi.org/10.1155/2002/618459.

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This paper examines the performance of active isolation systems for microgravity space experiments as a function of desired transmissibilities that are chosen to be either much below or close to what can be tolerated. The control system utilizes two feedback signals: absolute acceleration and relative displacement of the controlled mass. The controller transfer function for acceleration feedback is chosen to avoid marginally stable pole-zero cancellations. The controller transfer function for relative displacement feedback is determined to achieve the desired transmissibility function. The issue of stability and properness of this controller transfer function are discussed. The required input forces and equivalent closed-loop stiffness are examined for various examples of desired transmissibilities.

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Sahu, Basant Kumar, and Bidyadhar Subudhi. "Potential function-based path-following control of an autonomous underwater vehicle in an obstacle-rich environment." Transactions of the Institute of Measurement and Control 39, no. 8 (2016): 1236–52. http://dx.doi.org/10.1177/0142331216634424.

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This paper presents the development of simple but powerful path-following and obstacle-avoidance control laws for an underactuated autonomous underwater vehicle (AUV). Potential function-based proportional derivative (PFPD) as well as a potential function-based augmented proportional derivative (PFAPD) control laws are developed to govern the motion of the AUV in an obstacle-rich environment. For obstacle avoidance, a mathematical potential function is used, which formulates the repulsive force between the AUV and the solid obstacles intersecting the desired path. Numerical simulations are carried out to study the efficacy of the proposed controllers and the results are observed. To reduce the values of the overshoots and steady-state errors identified due to the application of PFPD controller a PFAPD controller is designed that drives the AUV along the desired trajectory. From the simulation results, it is observed that the proposed controllers are able to drive the AUV to track the desired path, avoiding the obstacles in an obstacle-rich environment. The results are compared and it is observed that the PFAPD outperforms the PFPD to drive the AUV along the desired trajectory. It is also proved that it is not necessary to employ highly complicated controllers for solving obstacle-avoidance and path-following problems of underactuated AUVs. These problems can be solved with the application of PFAPD controllers.

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Zhang, Hugan, Xianku Zhang, and Renxiang Bu. "Radial Basis Function Neural Network Sliding Mode Control for Ship Path Following Based on Position Prediction." Journal of Marine Science and Engineering 9, no. 10 (2021): 1055. http://dx.doi.org/10.3390/jmse9101055.

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In the process of ship navigation, due to the characteristics of large inertia and large time delay, overshoot can easily occur in the process of path following. Once the ship deviates from the waypoint, it is prone to grounding and collision. Considering this problem, a sliding mode control algorithm based on position prediction using the radial basis function (RBF) neural network is proposed. The desired heading angle is designed according to a backstepping algorithm. The hyperbolic tangent function is used to design the sliding surface, and the course is controlled by sliding mode control. The second-order Taylor expansion is used to predict the future position, the current error and future error functions are constructed, and the total errors are fed back to the desired heading angle. In the sliding mode control system, the RBF neural network is used to approximate the total unknown term, and a velocity observer is introduced to obtain the surge velocity and sway velocity. To verify the effectiveness of the algorithm, the mathematical model group (MMG) model is used for simulation. The simulation results show the effectiveness and superiority of the designed controller. Therefore, the RBF neural network sliding mode controller based on predicted position has robustness for ship path following.

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Razavi, Hamed, Salman Faraji, and Auke Ijspeert. "From standing balance to walking: A single control structure for a continuum of gaits." International Journal of Robotics Research 38, no. 14 (2019): 1695–716. http://dx.doi.org/10.1177/0278364919875205.

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This article presents a control algorithm framework with which a bipedal robot can perform a variety of gaits by only modifying a small set of control parameters. The controller drives a number of variables, called non-emergent variables, to their desired trajectories resulting in a desired emergent walking gait. While the non-emergent variables remain the same independent of the gait, their desired trajectories are functions of a small set of control parameters that change as a function of the desired gait. This control algorithm has been tested on the humanoid robot COMAN, where different gaits including standing balance, stepping in place, periodic walking gaits with different velocities, as well as gait switching are demonstrated in experiments.

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Tong, Shih-Hsi, and Daniel C. H. Yang. "Rotor Profiles Synthesis for Lobe Pumps With Given Flow Rate Functions." Journal of Mechanical Design 127, no. 2 (2005): 287–94. http://dx.doi.org/10.1115/1.1798271.

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In this paper we present a complete synthesis procedure for lobe pumps with required flow rate functions. A dimensionless flow rate expression, called the “specific flow rate,” is used for our pump synthesis. This specific flow rate depends only on the pitch and deviation functions of the pump rotor, and it is independent of the individual pump size, neither pumping frequency. Another important design parameter used is the “lobe noncircularity,” which is defined as the ratio of the lobe length to the rotor center distance. It is found that the lobe noncircularity is linearly dependent on the ratio of maximum to minimum flow rate regardless of the type of flow rate function. As a result, our synthesis procedure can be simplified as (1) select a type of desirable flow rate function, (2) from the flow rate function derive the corresponding deviation function, (3) based on the deviation function generate the desired rotor profile, and (4) calculate the real pump size. Another advantage is that by using this method wide classes of lobe pumps can be designed. A detailed design example is presented for illustration. In addition, new lobe profiles are invented based on some typical flow rate functions.

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Dole, Arthur A., Deborah Levitt, Andrew R. Baggaley, and Bonnie L. Stewart. "What Do Employers Want: Functions, Knowledge Areas, and Characteristics Desired of Professional Psychologists." Psychological Reports 58, no. 2 (1986): 643–58. http://dx.doi.org/10.2466/pr0.1986.58.2.643.

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To determine what they prefer when they select a psychologist, we surveyed a sample of 105 administrators in the Philadelphia area. Most respondents held doctorates in clinical, counseling, or school psychology. Preferences for functions, areas of knowledge, and characteristics suggested discrepancies with APA standards for training. There was only moderate support for a scientific, quantitative orientation. Factor analyses identified six functions, six areas of knowledge, and two characteristics. Treated as composites, the intercorrelations suggested a further reduction into a practitioner-oriented and a scientist-oriented pattern. Over-all, respondents rated highest the personal characteristics of a practitioner (rather than scientist), knowledge of human development and of psychodiagnostics, and the appraisal function. When 10 selected agency characteristics were analyzed by composite scores, sponsorship of setting and typical age range of clientele accounted for the most differences. Implications for the professional identity of the major specializations, for education, and for practice were discussed.

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Xi, Hui Ling, Si Min Yu, and Hui Ling Xi. "Adaptive Full State Hybrid Function Projective Lag Synchronization in Chaotic Continuous-Time System." Advanced Materials Research 383-390 (November 2011): 4169–74. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.4169.

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Based on the Lyapunov stability theory, an adaptive full state hybrid function projective lag synchronization (FSHFPLS) scheme is investigated in chaotic continuous-time system, and a unified adaptive controller and parameters update law are designed for achieved the projective lag synchronization up to a desired scaling function. In addition, a scheme for secure communication is presented. Numerical simulations are performed to verify and illustrate the analytical results.

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Nardi, J. V., and Dachamir Hotza. "Methodology for Prediction of Desired Mechanical Properties as a Function of Mixture Components." Materials Science Forum 498-499 (November 2005): 459–63. http://dx.doi.org/10.4028/www.scientific.net/msf.498-499.459.

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Preliminary results of the use of electroomosis technique for removal of organic contaminants in ceramic filtration porous structure are presented. The method employed provokes the migration of chemical residue and waste retained or adsorbed on the pore surfaces by applying a controlled tension within an electrochemical system. Porous ceramics have been the most common filtration medium employed within a broad range of applications. Conventional cleaning of a ceramic medium is not entirely effective for organic contaminants since they cannot be excluded by size, but retained through chemical affinity to the oxide surface. Under the influence of an electrical current, adsorbed molecules underwent shear stress due to the diffuse moving layer. In their ionic state the specimens are dragged and thus move towards the opposite charged electrode. Phenol was chosen as a standard contaminant and tests carried out using commercial ceramic filtration candles. Relative contaminant concentration was assessed by optical densities (UV-Vis spectroscopy). The results show that removal is proportional for up to 58% of the contaminant in diluted condition.

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Deyev, S. M., E. N. Lebedenko, L. E. Petrovskaya, D. A. Dolgikh, A. G. Gabibov, and M. P. Kirpichnikov. "Man-made antibodies and immunoconjugates with desired properties: function optimization using structural engineering." Russian Chemical Reviews 84, no. 1 (2015): 1–26. http://dx.doi.org/10.1070/rcr4459.

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Cordero, Gustavo, Víctor Santibáñez, Alejandro Dzul, and Jesús Sandoval. "Interconnection and Damping Assignment Passivity–Based Control of an Underactuated 2–DOF Gyroscope." International Journal of Applied Mathematics and Computer Science 28, no. 4 (2018): 661–77. http://dx.doi.org/10.2478/amcs-2018-0051.

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Abstract In this paper we present interconnection and damping assignment passivity-based control (IDA-PBC) applied to a 2 degrees of freedom (DOFs) underactuated gyroscope. First, the equations of motion of the complete system (3-DOF) are presented in both Lagrangian and Hamiltonian formalisms. Moreover, the conditions to reduce the system from a 3-DOF to a 2- DOF gyroscope, by using Routh’s equations of motion, are shown. Next, the solutions of the partial differential equations involved in getting the proper controller are presented using a reduction method to handle them as ordinary differential equations. Besides, since the gyroscope has no potential energy, it presents the inconvenience that neither the desired potential energy function nor the desired Hamiltonian function has an isolated minimum, both being only positive semidefinite functions; however, by focusing on an open-loop nonholonomic constraint, it is possible to get the Hamiltonian of the closed-loop system as a positive definite function. Then, the Lyapunov direct method is used, in order to assure stability. Finally, by invoking LaSalle’s theorem, we arrive at the asymptotic stability of the desired equilibrium point. Experiments with an underactuated gyroscopic mechanical system show the effectiveness of the proposed scheme.

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Gladkov, Artem E., Tatyana V. Maltseva, and Natalya P. Isakova. "METHOD FOR DETERMINING THE MECHANICAL CHARACTERISTICS OF VISCOELASTIC SOILS." Architecture, Construction, Transport, no. 4(106) (2023): 26–33. http://dx.doi.org/10.31660/2782-232x-2023-4-26-33.

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Experimental studies of processes in soil foundations under load show that soils exhibit viscoelastic properties. The article presents the method for determining the mechanical characteristics of viscoelastic soil. One of the functions, for example, the soil creep function, is obtained from the experimental data of testing a sample for creep. Next, the soil relaxation function was determined using the numerical-analytical method of broken lines. The representation of the creep function in the form of a broken line made it possible to obtain the relaxation function (the inverse function to the creep function in Laplace - Carson images) as a solution of the viscoelasticity problem. Based on the known image of the desired original of the relaxation function in the form of a broken line, a transition from the image to the original was made using the broken line method, which is reduced to a system of linear algebraic equations regarding the desired parameters of the relaxation function. To determine the relaxation function using the proposed method, there is no need to experiment with a soil sample for relaxation. This saves on laboratory experiments. The proposed algorithm is of interest when designing construction projects on weak soil foundations, taking into account the viscoelastic properties of the soil.

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Joug, Shian Ming, Hsuan Ming Feng, and Dong Hui Guo. "Self-Tuning RBFNs Mobile Robot Systems through Bacterial Foraging Particle Swarm Optimization Learning Algorithm." Applied Mechanics and Materials 284-287 (January 2013): 2128–36. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.2128.

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A radial basis function neural networks (RBFNs) mobile robot control system is automatically developed with the image processing and learned by the bacterial foraging particle swarm optimization (BFPSO) algorithm in this paper. The image-based architecture of robot model is self-generated to travel the routing path in the dynamical and complicated environments. The visible omni-directional image sensors capture the surrounding environment to represent the behavior model of the mobile robot system. Three parameterize RBFNs model with the centers and spreads of each radial basis function, and the connection weights to solve the mobile robot path traveling and routing problems. Several free parameters of radial basis functions can be automatically tuned by the direct of the specified fitness function. In additional, the proper number of radial basis functions of the constructed RBFNs can be chosen by the defined fitness function which takes this factor into account. The desired multiple objectives of the RBFNs control system are proposed to simultaneously approach the shorter path and avoid the unexpected obstacles. Evaluations of PSO and BFPSO show that the developed RBFNs robot systems skip the obstacles and efficiently achieve the desired targets as soon as possible.

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Wang, Di, and Yuan Cao. "Adaptive Cruise Control of Virtual Coupled Trains Based on Sliding Mode." Journal of Physics: Conference Series 2224, no. 1 (2022): 012109. http://dx.doi.org/10.1088/1742-6596/2224/1/012109.

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Abstract In this paper, the adaptive cruise control method for the virtually coupled train set (VCTS) in rail transit is proposed. First of all, a leader-following VCTS dynamics model is constructed by analyzing the dynamic evolution of VCTS in a real-world environment, taking into account uncertain parameters, unknown disturbances and controller input saturation. Next, to cope with the position and speed constraints, the position artificial potential field function and the speed barrier function are embedded into the designed sliding manifold. And a novel adaptive cruise control protocol is designed, which can simultaneously deal with uncertain resistance parameters and unknown disturbances while tracking the desired cruise speed and maintaining the desired distance. Based on Lyapunov stability theory, the proposed control protocol guarantees the ultimate boundedness of all subsystems. Finally, the simulation results verify the effectiveness of the theoretical analysis.

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Zhang, Houzhong, Xiangtian Yang, Xiaoqiang Sun, and Jiasheng Liang. "Optimal Design of Shift Point Strategy for DCT Based on Particle Swarm Optimization." Machines 9, no. 9 (2021): 196. http://dx.doi.org/10.3390/machines9090196.

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For a vehicle equipped with DCT, the vehicle model is established according to the existing experimental data. The traditional method is used to solve the law of economic and dynamic shift, respectively. Then, the dynamic objective function and economic objective function are designed. After normalization of the two functions, the weighted combination is carried out to get the comprehensive objective function. The traditional shift law obtained in the previous paper is regarded as the limit value of variable optimization by particle swarm optimization algorithm, and the comprehensive objective function designed in this paper is solved. The shift law obtained by the three methods is integrated into Simulink model, and the dynamic and economic verification are carried out, respectively. By comparing the acceleration time of 0–100, 0–70, and 70–120 km/h, the dynamic performance of the shift point is obtained by three methods. The final test results show that the economy of the optimized shift point is improved by 1.37% and 3.17%, respectively. The power performance increased by 4.087%, 15.28%, and −10.70%, hence, achieving the desired results.

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Zhou, Jie, Yao Sun, Laibin Luo, Wenxin Zhang, and Zhe Wei. "Human–Robot Cooperation Control Strategy Design Based on Trajectory Deformation Algorithm and Dynamic Movement Primitives for Lower Limb Rehabilitation Robots." Processes 12, no. 5 (2024): 924. http://dx.doi.org/10.3390/pr12050924.

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Compliant physical interactions, interactive learning, and robust position control are crucial to improving the effectiveness and safety of rehabilitation robots. This paper proposes a human–robot cooperation control strategy (HRCCS) for lower limb rehabilitation robots. The high-level trajectory planner of the HRCCS consists of a trajectory generator, a trajectory learner, a desired trajectory predictor, and a soft saturation function. The trajectory planner can predict and generate a smooth desired trajectory through physical human–robot interaction (pHRI) in a restricted joint space and can learn the desired trajectory using the locally weighted regression method. Moreover, a triple-step controller was designed to be the low-level position controller of the HRCCS to ensure that each joint tracks the desired trajectory. A nonlinear disturbance observer is used to observe and compensate for total disturbances. The radial basis function neural networks (RBFNN) approximation law and robust term are adopted to compensate for observation errors. The simulation results indicate that the HRCCS is robust and can achieve compliant pHRI and interactive trajectory learning. Therefore, the HRCCS has the potential to be used in rehabilitation robots and other fields involving pHRI.

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Eun, Hee Chang, Rae Jung Kim, and Young Jun Ahn. "Identification of Parameter Matrices Using Residual Force Vector." Applied Mechanics and Materials 394 (September 2013): 157–62. http://dx.doi.org/10.4028/www.scientific.net/amm.394.157.

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The physical parameters obtained from modal tests do not satisfy the eigenvalue function due to modeling and measurement errors, and unexpected damage. The desired dynamic response can be obtained by identifying the most appropriate changes required to obtain the desired dynamic behaviour. The purpose of this study is to present the analytical equations on the updated stiffness and mass matrices in the satisfaction of eigenfunction including residual force vector term. Minimizing the cost functions of the difference between analytical and desired physical parameter matrices, the variations in parameter matrices are straightforwardly derived without using any multipliers. The validity of the proposed methods is evaluated in an application.

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Woods, K., D. Cook, L. Hall, K. Bowyer, and L. Stark. "Learning Membership Functions in a Function-Based Object Recognition System." Journal of Artificial Intelligence Research 3 (October 1, 1995): 187–222. http://dx.doi.org/10.1613/jair.236.

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Functionality-based recognition systems recognize objects at the category level by reasoning about how well the objects support the expected function. Such systems naturally associate a ``measure of goodness'' or ``membership value'' with a recognized object. This measure of goodness is the result of combining individual measures, or membership values, from potentially many primitive evaluations of different properties of the object's shape. A membership function is used to compute the membership value when evaluating a primitive of a particular physical property of an object. In previous versions of a recognition system known as Gruff, the membership function for each of the primitive evaluations was hand-crafted by the system designer. In this paper, we provide a learning component for the Gruff system, called Omlet, that automatically learns membership functions given a set of example objects labeled with their desired category measure. The learning algorithm is generally applicable to any problem in which low-level membership values are combined through an and-or tree structure to give a final overall membership value.

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