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Relevant bibliographies by topics / Linearization method

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Academic literature on the topic 'Linearization method'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 September 2023

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Journal articles on the topic "Linearization method"

1

Antipin, A. S. "Linearization method." Computational Mathematics and Modeling 8, no. 1 (January 1997): 1–15. http://dx.doi.org/10.1007/bf02404060.

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Pshenichnyj, B. N. "The linearization method." Optimization 18, no. 2 (January 1987): 179–96. http://dx.doi.org/10.1080/02331938708843231.

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Li, Jin, and Yongling Cheng. "Barycentric rational interpolation method for solving KPP equation." Electronic Research Archive 31, no. 5 (2023): 3014–29. http://dx.doi.org/10.3934/era.2023152.

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<abstract><p>In this paper, we seek to solve the Kolmogorov-Petrovskii-Piskunov (KPP) equation by the linear barycentric rational interpolation method (LBRIM). As there are non-linear parts in the KPP equation, three kinds of linearization schemes, direct linearization, partial linearization, Newton linearization, are presented to change the KPP equation into linear equations. With the help of barycentric rational interpolation basis function, matrix equations of three kinds of linearization schemes are obtained from the discrete KPP equation. Convergence rate of LBRIM for solving the KPP equation is also proved. At last, two examples are given to prove the theoretical analysis.</p></abstract>

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Calisal, S. M. "A Geometrically Consistent Linearization Method." Transactions of the Canadian Society for Mechanical Engineering 9, no. 2 (June 1985): 84–89. http://dx.doi.org/10.1139/tcsme-1985-0012.

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The study of irrotational incompressible flows about thin geometries can be carried out using the well known perturbation procedures. In two-dimensional flows exact solutions based on mappings can be used to compare the accuracy of first order solutions. For most airfoil sections a first order perturbation solution is not sufficiently accurate in representing the pressure and velocity distribution, especially about the leading edge. For three-dimensional flows exact solutions are rare and for more complex problems such as ship wave resistance formulations an exact solution does not exist for comparison of results. In this last case second-order solutions exist but are very difficult to calculate. Therefore, it would appear advantageous to improve first-order calculations. To this end a perturbation method that incorporates the geometric properties of the body is studied. This method is applied to a symmetric Joukowski airfoil and to an elipse. This method, here called the “geometrically-consistent linearization method” predicts the leading edge pressure variations correctly in the two cases studied and appears to be superior to the classical first order solutions. An iterative solution following this procedure further improves the calculation especially for thicker foils. The method discussed and the following iteration procedure seem to form an efficient numerical solution to airfoil flow problems.

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Halás, Miroslav, Mikuláš Huba, and Katarína Žáková. "The Exact Velocity Linearization Method." IFAC Proceedings Volumes 36, no. 18 (September 2003): 259–64. http://dx.doi.org/10.1016/s1474-6670(17)34678-5.

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Danilin, Yu M. "Linearization method using smooth penalties." Cybernetics and Systems Analysis 29, no. 4 (1994): 500–513. http://dx.doi.org/10.1007/bf01125864.

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Pho, Nguyen Van, and Le Ngoc Thach. "Linearization method in reliability problem." Vietnam Journal of Mechanics 15, no. 3 (September 30, 1993): 37–40. http://dx.doi.org/10.15625/0866-7136/10211.

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TANAKA, H. "Linearization Method and Linear Complexity." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E91-A, no. 1 (January 1, 2008): 22–29. http://dx.doi.org/10.1093/ietfec/e91-a.1.22.

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Leonov, G. A. "On the harmonic linearization method." Doklady Mathematics 79, no. 1 (February 2009): 144–46. http://dx.doi.org/10.1134/s1064562409010426.

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Li, Jin. "Linear barycentric rational interpolation method for solving Kuramoto-Sivashinsky equation." AIMS Mathematics 8, no. 7 (2023): 16494–510. http://dx.doi.org/10.3934/math.2023843.

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<abstract><p>The Kuramoto-Sivashinsky (KS) equation being solved by the linear barycentric rational interpolation method (LBRIM) is presented. Three kinds of linearization schemes, direct linearization, partial linearization and Newton linearization, are presented to get the linear equation of the Kuramoto-Sivashinsky equation. Matrix equations of the discrete Kuramoto-Sivashinsky equation are also given. The convergence rate of LBRIM for solving the KS equation is also proved. At last, two examples are given to prove the theoretical analysis.</p></abstract>

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Dissertations / Theses on the topic "Linearization method"

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Størdal, John Mikal. "Robustness studies of the feedback linearization method." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/42535.

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Liu, Tao. "Equivalent Linearization Analysis Method for Base-isolated Buildings." Doctoral thesis, Università degli studi di Trento, 2014. https://hdl.handle.net/11572/369050.

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Base isolation system, as one of the most popular means to mitigate the seismic risks, often exhibits strong nonlinearity. To simplify the procedure of structural design, bilinear force-deformation behavior is recommended for isolation systems in most modern structural codes. Although base isolation system can be analyzed through nonlinear time history method, solving of a system with a large number of degrees of freedom may require an exorbitant amount of time. As a substitute, the equivalent linearization method is frequently used. Apparently, under given earthquake ground motions, the accuracy of equivalent linearization analysis method is significantly related to the estimation of equivalent linear properties. How to improve the estimation accuracy of this approximate method constitutes a subject of wide and deep interest among researchers around the world. In this research, the equivalent linearization analysis method for base-isolated buildings was investigated. The literature survey on related aspects of base-isolated buildings was carried out firstly. Then, the estimation accuracy of fifteen equivalent linearization methods selected from the literatures was evaluated when subjected to twelve earthquake ground motions. After that, from simplicity to complexity, the base-isolated buildings were modeled using single-degree-of-freedom (SDOF) systems and multi-degree-of-freedom (MDOF) systems, respectively. For both considered systems, more comprehensive parametric analyses were performed with varying the parameters selected from the isolation system and the superstructure. Accordingly, improved equivalent linearization methods were derived for SDOF and MDOF systems to improve the prediction accuracy of the maximum displacement of isolation systems. Based on the proposed equivalent linearization methods, different analysis methods for base-isolated buildings were assessed, including equivalent static linear analysis, response spectral analysis, linear and nonlinear time history analyses. It was found that with the proposed equivalent linearization methods equivalent linear analyses could yield more accurate results when compared with the equivalent linearization method recommended by structural codes. As a result, the proposed equivalent linearization method could be potentially useful for the design and analysis of baseisolated buildings, as least in the preliminary stage of structural design.

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Liu, Tao. "Equivalent Linearization Analysis Method for Base-isolated Buildings." Doctoral thesis, University of Trento, 2014. http://eprints-phd.biblio.unitn.it/1240/1/Equivalent_Linearization_Analysis_Method_for_Base-isolated_Buildings.pdf.

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Base isolation system, as one of the most popular means to mitigate the seismic risks, often exhibits strong nonlinearity. To simplify the procedure of structural design, bilinear force-deformation behavior is recommended for isolation systems in most modern structural codes. Although base isolation system can be analyzed through nonlinear time history method, solving of a system with a large number of degrees of freedom may require an exorbitant amount of time. As a substitute, the equivalent linearization method is frequently used. Apparently, under given earthquake ground motions, the accuracy of equivalent linearization analysis method is significantly related to the estimation of equivalent linear properties. How to improve the estimation accuracy of this approximate method constitutes a subject of wide and deep interest among researchers around the world. In this research, the equivalent linearization analysis method for base-isolated buildings was investigated. The literature survey on related aspects of base-isolated buildings was carried out firstly. Then, the estimation accuracy of fifteen equivalent linearization methods selected from the literatures was evaluated when subjected to twelve earthquake ground motions. After that, from simplicity to complexity, the base-isolated buildings were modeled using single-degree-of-freedom (SDOF) systems and multi-degree-of-freedom (MDOF) systems, respectively. For both considered systems, more comprehensive parametric analyses were performed with varying the parameters selected from the isolation system and the superstructure. Accordingly, improved equivalent linearization methods were derived for SDOF and MDOF systems to improve the prediction accuracy of the maximum displacement of isolation systems. Based on the proposed equivalent linearization methods, different analysis methods for base-isolated buildings were assessed, including equivalent static linear analysis, response spectral analysis, linear and nonlinear time history analyses. It was found that with the proposed equivalent linearization methods equivalent linear analyses could yield more accurate results when compared with the equivalent linearization method recommended by structural codes. As a result, the proposed equivalent linearization method could be potentially useful for the design and analysis of baseisolated buildings, as least in the preliminary stage of structural design.

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Kolcuoglu, Turusan. "Linearization Of Rf Power Amplifiers With Memoryless Baseband Predistortion Method." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613213/index.pdf.

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In modern wireless communication systems, advanced modulation techniques are used to support more users by handling high data rates and to increase the utilization efficiency of the limited RF spectrum. These techniques are sensitive to the nonlinear distortions due to their high peak to average power ratios. Main source of nonlinear distortion in transmitter topologies are power amplifiers that determine the overall efficiency and linearity of the transmitter. To increase linearity without sacrificing efficiency, power amplifier linearization techniques may be a choice. Baseband predistortion technique is known to be one of the optimum methods due to its relatively low complexity and its convenience for adaptation. In this thesis, different memoryless baseband signal predistortion methods are investigated and analyzed by simulations. Look-Up Table(LUT) and Polynomial approaches are compared and LUT approach is found to be better in performance. Parameters, like indexing, training sequences and training duration are evaluated. An open loop testbench is built with a real amplifier and a different LUT predistortion method that is based on amplifier modeling is offered. It is evaluated by using two tone test and adjacent channel power suppression with 8PSK data. Also, some Look-Up Table parameters are re-investigated with the proposed method. The performances of the proposed method in dierent amplifier classes are observed. Along with these studies, a list of prerequisites for design of a predistortion system is determined.

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RIBACK, CARLOS RENATO. "AN AMPLIFIER LINEARIZATION METHOD BASED ON A QUADRATURE BALANCED STRUCTURE." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2001. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=1804@1.

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MARINHA DO BRASIL
O presente trabalho apresenta uma estrutura balanceada em quadratura para linearização de amplificadores de potência em RF e microondas. Várias técnicas de linearização têm sido utilizadas para reduzir a intermodulação. Alguns exemplos, tais como Feedback, Pre-distorsion e Feedforward, podem ser mencionados. A característica ímpar de nosso arranjo é que ele não precisa de ajustes, enquanto que os outros métodos precisam. A desvantagem de nosso arranjo é que ele reduz apenas os produtos de intermodulação de terceira ordem. Um trabalho prático foi conduzido, mostrando que nosso arranjo é capaz de reduzir o conteúdo de intermodulação de terceira ordem em até 17 dB.
The present work introduces a quadrature balanced structure for linearization of RF and microwave amplifiers. Several linearization techniques have been used to reduce intermodulation products. Some examples such as Feedback, Pre-distorsion and Feedforward may be mentioned. The unique feature of our arrangment is that it does not need adjustments, while the other methods do. The drawback of our arrangement is that it only reduces the third-order intermodulation products. A pratical work was carried out, showing that our arrangement is able to reduce the third-order intermodulation content up to 17 dB.
EL presente trabajo presenta una extructura balanceada en cuadratura para linealización de amplificadores de potencia en RF y microondas. Varias técnicas de linealización han sido utilizadas para reducir la intermodulación. Algunos ejemplos como Feedback, Pre-distorsion y Feedforward, pueden ser mencionados. La principal ventaja de nuestro arreglo frente a los otros métodos es que éste no precisa de ajustes. La desventaja de nuestro arreglo es que reduce solamente los produtos de intermodulación de tercer orden. Se condujo un trabajo práctico, mostrando que nuestro arreglo es capaz de reducir el contenido de intermodulación de tercera orden en hasta 17 dB.

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Stark, Ryan David [Verfasser]. "Demonstration of a Novel Longitudinal Phase Space Linearization Method / Ryan David Stark." Hamburg : Staats- und Universitätsbibliothek Hamburg Carl von Ossietzky, 2021. http://d-nb.info/1234150298/34.

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Chang, Chih-Hui 1967. "An Adaptive Linearization Method for a Constraint Satisfaction Problem in Semiconductor Device Design Optimization." Thesis, University of North Texas, 1999. https://digital.library.unt.edu/ark:/67531/metadc500248/.

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The device optimization is a very important element in semiconductor technology advancement. Its objective is to find a design point for a semiconductor device so that the optimized design goal meets all specified constraints. As in other engineering fields, a nonlinear optimizer is often used for design optimization. One major drawback of using a nonlinear optimizer is that it can only partially explore the design space and return a local optimal solution. This dissertation provides an adaptive optimization design methodology to allow the designer to explore the design space and obtain a globally optimal solution. One key element of our method is to quickly compute the set of all feasible solutions, also called the acceptability region. We described a polytope-based representation for the acceptability region and an adaptive linearization technique for device performance model approximation. These efficiency enhancements have enabled significant speed-up in estimating acceptability regions and allow acceptability regions to be estimated for a larger class of device design tasks. Our linearization technique also provides an efficient mechanism to guarantee the global accuracy of the computed acceptability region. To visualize the acceptability region, we study the orthogonal projection of high-dimensional convex polytopes and propose an output sensitive algorithm for projecting polytopes into two dimensions.

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Wu, Xiaofei. "A nonlinear flight controller design for an advanced flight control test bed by trajectory linearization method." Ohio : Ohio University, 2004. http://www.ohiolink.edu/etd/view.cgi?ohiou1177093858.

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Leishman, Robert C. "Applications of Variation Analysis Methods to Automotive Mechanisms." BYU ScholarsArchive, 2009. https://scholarsarchive.byu.edu/etd/2192.

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Variation analysis, or tolerance analysis as it is sometimes called, is typically used to predict variation in critical dimensions in assemblies by calculating the stack-up of the contributing component variations. It is routinely used in manufacturing and assembly environments with great success. Design engineers are able to account for the small changes in dimensions that naturally occur in manufacturing processes, in equipment, and due to operators and still ensure that the assemblies will meet the design specifications and required assembly performance parameters. Furthermore, geometric variation not only affects critical fits and clearances in static assemblies, it can also cause variation in the motion of mechanisms, and their dynamic performance. The fact that variation and motion analysis are both dependent upon the geometry of the assembly makes this area of study much more challenging. This research began while investigating a particular application of dynamic assemblies - automobiles. Suspension and steering systems are prime examples dynamic assemblies. They are also critical systems, for which small changes in dimension can cause dramatic changes in the vehicle performance and capabilities. The goals of this research were to develop the tools necessary to apply the principles of static variation analysis to the kinematic motions of mechanisms. Through these tools, suspension and steering systems could be analyzed over a range of positions to determine how small changes in dimensions could affect the performance of those systems. There are two distinct applications for this research, steering systems and suspension systems. They are treated separately, as they have distinct requirements. Steering systems are mechanisms, for which position information is most critical to performance. In suspension systems, however, the higher order kinematic terms of velocity and acceleration often are more important than position parameters.

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Zeytun, Serkan. "Risk Measurement, Management And Option Pricing Via A New Log-normal Sum Approximation Method." Phd thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12615148/index.pdf.

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In this thesis we mainly focused on the usage of the Conditional Value-at-Risk (CVaR) in risk management and on the pricing of the arithmetic average basket and Asian options in the Black-Scholes framework via a new log-normal sum approximation method. Firstly, we worked on the linearization procedure of the CVaR proposed by Rockafellar and Uryasev. We constructed an optimization problem with the objective of maximizing the expected return under a CVaR constraint. Due to possible intermediate payments we assumed, we had to deal with a re-investment problem which turned the originally one-period problem into a multiperiod one. For solving this multi-period problem, we used the linearization procedure of CVaR and developed an iterative scheme based on linear optimization. Our numerical results obtained from the solution of this problem uncovered some surprising weaknesses of the use of Value-at-Risk (VaR) and CVaR as a risk measure. In the next step, we extended the problem by including the liabilities and the quantile hedging to obtain a reasonable problem construction for managing the liquidity risk. In this problem construction the objective of the investor was assumed to be the maximization of the probability of liquid assets minus liabilities bigger than a threshold level, which is a type of quantile hedging. Since the quantile hedging is not a perfect hedge, a non-zero probability of having a liability value higher than the asset value exists. To control the amount of the probable deficient amount we used a CVaR constraint. In the Black-Scholes framework, the solution of this problem necessitates to deal with the sum of the log-normal distributions. It is known that sum of the log-normal distributions has no closed-form representation. We introduced a new, simple and highly efficient method to approximate the sum of the log-normal distributions using shifted log-normal distributions. The method is based on a limiting approximation of the arithmetic mean by the geometric mean. Using our new approximation method we reduced the quantile hedging problem to a simpler optimization problem. Our new log-normal sum approximation method could also be used to price some options in the Black-Scholes model. With the help of our approximation method we derived closed-form approximation formulas for the prices of the basket and Asian options based on the arithmetic averages. Using our approximation methodology combined with the new analytical pricing formulas for the arithmetic average options, we obtained a very efficient performance for Monte Carlo pricing in a control variate setting. Our numerical results show that our control variate method outperforms the well-known methods from the literature in some cases.

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Books on the topic "Linearization method"

1

Pshenichnyj, Boris N. The Linearization Method for Constrained Optimization. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57918-9.

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Pshenichnyj, Boris N. The Linearization Method for Constrained Optimization. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994.

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The linearization method for constrained optimization. Berlin: Springer-Verlag, 1994.

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The linearization method in hydrodynamical stability theory. Providence, R.I: American Mathematical Society, 1989.

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Harold, Atkins, Keyes David, and Langley Research Center, eds. Parallel implementation of the discontinuous Galerkin method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1999.

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A, Muravyov Alexander, and Langley Research Center, eds. Equivalent linearization analysis of geometrically nonlinear random vibrations using commercial finite element codes. Hampton, VA: National Aeronautics and Space Administration, Langley Research Center, 2002.

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1964-, Hartley T. T., and United States. National Aeronautics and Space Administration., eds. A method for generating reduced order linear models of supersonic inlets: Under grant NAG3-1450. [Washington, DC: National Aeronautics and Space Administration, 1997.

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Socha, Leslaw. Linearization Methods for Stochastic Dynamic Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-72997-6.

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Roberts, J. B. Random vibration and statistical linearization. Chichester: Wiley, 1990.

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1952-, Bernhard Robert, and United States. National Aeronautics and Space Administration., eds. A study of methods to predict and measure the transmission of sound through the walls of light aircraft: Integration of certain singular boundary element integrals for applications in linear acoustics. [Washington, DC: National Aeronautics and Space Administration, 1985.

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Book chapters on the topic "Linearization method"

1

Pshenichnyj, Boris N. "The Linearization Method." In The Linearization Method for Constrained Optimization, 43–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57918-9_2.

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Lipton, Richard J., and Kenneth W. Regan. "Nicolas Courtois: The Linearization Method." In People, Problems, and Proofs, 259–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-41422-0_50.

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N. Gorban, Alexander, and Ilya V. Karlin. "Newton Method with Incomplete Linearization." In Lecture Notes in Physics, 139–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-31531-5_6.

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Haraux, Alain, and Mohamed Ali Jendoubi. "The Linearization Method in Stability Analysis." In SpringerBriefs in Mathematics, 45–65. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23407-6_6.

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Chechurin, Leonid, and Sergej Chechurin. "Nonlinear System Oscillations: Harmonic Linearization Method." In Physical Fundamentals of Oscillations, 65–81. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-75154-2_7.

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Beers, Michael, and Garrett N. Vanderplaats. "A Linearization Method for Multilevel Optimization." In Numerical Techniques for Engineering Analysis and Design, 51–59. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3653-9_6.

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Pshenichnyj, Boris N. "Convex and Quadratic Programming." In The Linearization Method for Constrained Optimization, 1–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57918-9_1.

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Pshenichnyj, Boris N. "The Discrete Minimax Problem and Algorithms." In The Linearization Method for Constrained Optimization, 99–141. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57918-9_3.

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Antipin, Anatoly. "Linearization Method for Solving Equilibrium Programming Problems." In Lecture Notes in Economics and Mathematical Systems, 1–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-57014-8_1.

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Elishakoff, I. "Method of Stochastic Linearization Revised and Improved." In Computational Stochastic Mechanics, 101–11. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3692-1_10.

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Conference papers on the topic "Linearization method"

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Strzelczyk, Andrzej, and Mike Stojakovic. "Simplified Stress Linearization Method, Maintaining Accuracy." In ASME 2012 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/pvp2012-78521.

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ASME PVP Code stress linearization is needed for assessment of primary and primary-plus-secondary stresses. The linearization process is not precisely defined by the Code; as a result, it may be interpreted differently by analysts. The most comprehensive research on stress linearization is documented in the work of Hechmer and Hollinger [1]. Recent non-mandatory recommendations on stress linearization are provided in Annex 5A of Section VIII, Division 2 of ASME PVP Code [2]. In the work of Kalnins [3] some linearization questions are discussed in two examples; the first is a plane-strain problem and the second is an axisymmetric analysis of primary plus secondary stress at a cylindrical-shell/flat-head juncture. Paper [3] concludes that for the second example the linearized stresses produced by Abaqus [5] diverge, therefore they should not be used for stress evaluation for this specific case. This paper revisits the axisymmetric analysis discussed in [3] and attempts to show that the linearization difficulties can be avoided. The paper explains in details the reason for the divergence; the Abaqus program does not linearize all stress components in axisymmetric elements; two stress components are calculated from assumed formulas and all others are linearized. It is shown that when the axisymmetric structure from [3] is modeled with 3D elements, the linearization results are convergent. Further, it is demonstrated that both axisymmetric and 3D modeling produce the same and correct stress Tresca stress, if the stress is evaluated from all stress components linearized, without any further modification. The stress evaluation of the axisymmetric model of [3] is the primary-plus-secondary-stresses evaluation for which the limit analysis described in [4] cannot be used. The paper shows how the original primary-plus-secondary-stresses problem can be converted into the equivalent primary-stress problem, that is for a problem for which limit analysis can be used; it is further shown how the limit analysis had been used for verification of the linearization results.

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Li, Hua, Pengsheng Li, Huijie Zhao, and Jun Niu. "Data linearization method for perpendicularity measurement." In Measurement Technology and Intelligent Instruments, edited by Li Zhu. SPIE, 1993. http://dx.doi.org/10.1117/12.156472.

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Vanderploeg, Martin J., and Jeff D. Trom. "Automated Linearization of Nonlinear Coupled Differential and Algebraic Equations." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0121.

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Abstract This paper presents a new approach for linearization of large multi-body dynamic systems. The approach uses an analytical differentiation of terms evaluated in a numerical equation formulation. This technique is more efficient than finite difference and eliminates the need to determine finite difference pertubation values. Because the method is based on a relative coordinate formalism, linearizations can be obtained for equilibrium configurations with non-zero Cartesian accelerations. Examples illustrate the accuracy and efficiency of the algorithm, and its ability to compute linearizations for large-scale systems that were previously impossible.

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Mao, Zhong-Yang, Xiao-jun Wu, Fa-Ping Lu, Min Fan, Zhong-Yang Mao, and Chuan-Hui Liu. "A New RF Power Amplifier Linearization Method." In 3rd International Conference on Wireless Communication and Sensor Networks (WCSN 2016). Paris, France: Atlantis Press, 2017. http://dx.doi.org/10.2991/icwcsn-16.2017.3.

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Chun, Pui Ching, Chi Hou Chan, and Quan Xue. "Dual Baseband Injection Method for Amplifier Linearization." In 2007 Asia-Pacific Microwave Conference - (APMC 2007). IEEE, 2007. http://dx.doi.org/10.1109/apmc.2007.4554590.

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Nie, Wenming, Huifeng Li, Ran Zhang, and Bo Liu. "Extended State Observer Based Ascent Trajectory Tracking Method." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67131.

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The ascent trajectory tracking problem of a launch vehicle is investigated in this paper. To improve the conventional trajectory linearization method which usually omits the linearization errors, the extended state observer (ESO) is employed in this paper to timely estimate the total disturbance which consists of the external disturbances and the modeling uncertainties resulting from linearization error. It is proven that the proposed trajectory tracking controller can guarantee the desired performance despite both external disturbances and the modeling uncertainties. Moreover, compared with the conventional linearization control method, the proposed controller is shown to have much better performance of uncertainty rejection. Finally, the feasibility and performance of this controller are illuminated via simulation studies.

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Sekiguchi, Kazuma. "Novel control method for quadcopter-hierarchical linearization approach." In 2017 11th Asian Control Conference (ASCC). IEEE, 2017. http://dx.doi.org/10.1109/ascc.2017.8287456.

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Liang, Li-bo, Ya-Zhong Luo, Jin Zhang, Hai-yang Li, and Guo-jin Tang. "Rendezvous-Phasing Errors Propagation Using Quasi-linearization Method." In AIAA Guidance, Navigation, and Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-7594.

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prasad B., Biju, and S. Pradeep. "Automatic Landing System Design using Feedback Linearization Method." In AIAA Infotech@Aerospace 2007 Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-2733.

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Phan Xuan Minh and Thai Huu Nguyen. "Application of exact linearization method to robot control." In 2008 10th International Conference on Control, Automation, Robotics and Vision (ICARCV). IEEE, 2008. http://dx.doi.org/10.1109/icarcv.2008.4795880.

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Reports on the topic "Linearization method"

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GAUDE, BRIAN W. Solving Nonlinear Aeronautical Problems Using the Carleman Linearization Method. Office of Scientific and Technical Information (OSTI), September 2001. http://dx.doi.org/10.2172/787644.

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