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1

Manickavasagam, M., A. K. Sarkar, and V. Vaithiyanathan. "A Singular Perturbation Based Midcourse Guidance Law for Realistic Air-to-Air Engagement." Defence Science Journal 67, no. 1 (2016): 108. http://dx.doi.org/10.14429/dsj.1.9236.

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In this study, a singular perturbation based technique is used for synthesis and analysis of a near optimal midcourse guidance law for realistic air-to-air engagement. After designing the proposed midcourse guidance law using three dimensional point mass formulation it has been validated through detailed realistic six degrees of freedom simulation. During terminal phase only proportional navigation guidance have been used. The calculation of optimal altitude in present guidance law has been carried out using Newton’s method, which needs generally one iteration for convergence and suitable for
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2

Yefei, Yin, Li Xu, and Li Qiaoqi. "Design of Guidance Law for Smart Missile Based on Direct Mode Configuration with Implicit Dynamic-Inverse." Journal of Physics: Conference Series 2478, no. 11 (2023): 112036. http://dx.doi.org/10.1088/1742-6596/2478/11/112036.

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Abstract The design of guidance law for smart missile based on implicit dynamic-inverse direct mode configuration is described in this paper. The dynamic-inverse theory and direct mode algorithm are applied to the design of guidance law. The pitching acceleration and yaw acceleration are designed for the pitch channel by using the augmented proportional guidance and for the yaw channel by using the dynamic-inverse theory respectively. The attacking time parameter and the attack time error equation are introduced as the constraint criteria for the design of the dynamic-inverse. According to the
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Zhao, Penglei, Wanchun Chen, and Wenbin Yu. "Optimal perturbation guidance with constraints on terminal flight-path angle and angle of attack." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 12 (2019): 4436–46. http://dx.doi.org/10.1177/0954410018823472.

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This paper presents the design of a singular-perturbation-based optimal guidance with constraints on terminal flight-path angle and angle of attack. By modeling the flight-control system dynamics as a first-order system, the angle of attack is introduced into the performance index as a state variable. To solve the resulting high-order optimal guidance problem analytically, the posed optimal guidance problem is divided into two sub-problems by utilizing the singular perturbation method according to two time scales: range, altitude, and flight-path angle are the slow time-scale variables while t
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4

Fan, Yunsheng, Bowen Liu, Guofeng Wang, and Dongdong Mu. "Adaptive Fast Non-Singular Terminal Sliding Mode Path Following Control for an Underactuated Unmanned Surface Vehicle with Uncertainties and Unknown Disturbances." Sensors 21, no. 22 (2021): 7454. http://dx.doi.org/10.3390/s21227454.

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This paper focuses on an issue involving robust adaptive path following for the uncertain underactuated unmanned surface vehicle with time-varying large sideslips angle and actuator saturation. An improved line-of-sight guidance law based on a reduced-order extended state observer is proposed to address the large sideslip angle that occurs in practical navigation. Next, the finite-time disturbances observer is designed by considering the perturbations parameter of the model and the unknown disturbances of the external environment as the lumped disturbances. Then, an adaptive term is introduced
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Ha, Cheol-Keun, and Hyoung-Sik Choi. "Design of Autolanding Guidance and Control Algorithm Using Singular Perturbation." Journal of Control, Automation and Systems Engineering 11, no. 8 (2005): 726–32. http://dx.doi.org/10.5302/j.icros.2005.11.8.726.

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6

Annam, Chandrakanth, Ashwini Ratnoo, and Debasish Ghose. "Singular-Perturbation-Based Guidance of Pulse Motor Interceptors with Look Angle Constraints." Journal of Guidance, Control, and Dynamics 44, no. 7 (2021): 1356–70. http://dx.doi.org/10.2514/1.g005508.

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7

Landolsi, F., and F. H. Ghorbel. "Design and singular perturbation control of a piezotube-based nanomanipulator." Nonlinear Dynamics 83, no. 1-2 (2015): 971–81. http://dx.doi.org/10.1007/s11071-015-2381-x.

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8

Song, Seong Ho, Chang Seop Kim, and Jeom Keun Kim. "Stability Analysis of Internal Model Based Gain Control System for Three-Level EDFA Model." Applied Mechanics and Materials 339 (July 2013): 33–37. http://dx.doi.org/10.4028/www.scientific.net/amm.339.33.

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In this paper, stability analysis of an optical fiber amplifier gain controller is presented. The mathematical model of an EDFA (Eribium-Doped Fiber Amplifier) control system is described by two-time scaled system and thus singular perturbation approach can be applied to the design and analysis of the control system. In order to handle the channel variations such as add/drop, we adopt an internal model. The performance of the control system is theoretically analyzed based on a novel singular-perturbation-like approach.
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9

Wardi, Mohamed Lazhar, Messaoud Amairi, and Mohamed Naceur Abdelkrim. "Fractional PID controller design for nonlinear systems based on singular perturbation technique." International Journal of Digital Signals and Smart Systems 2, no. 2 (2018): 95. http://dx.doi.org/10.1504/ijdsss.2018.093172.

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10

Wardi, Mohamed Lazhar, Mohamed Naceur Abdelkrim, and Messaoud Amairi. "Fractional PID controller design for nonlinear systems based on singular perturbation technique." International Journal of Digital Signals and Smart Systems 2, no. 2 (2018): 95. http://dx.doi.org/10.1504/ijdsss.2018.10014373.

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11

Kuang, Zhiming. "The Norm Dependence of Singular Vectors." Journal of the Atmospheric Sciences 61, no. 23 (2004): 2943–49. http://dx.doi.org/10.1175/jas-3308.1.

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Abstract For a linearized system such as ∂ψ/∂t = 𝗠ψ, singular vector analysis can be used to find patterns that give the largest or smallest ratios between the sizes of 𝗠ψ and ψ. Such analyses have applications to a wide range of atmosphere–ocean problems. The resulting singular vectors, however, depend on the norm used to measure the sizes of 𝗠ψ and ψ, as noted in various applications. This causes complications because the choices of norm are generally nonunique. Based on perturbation theory, a derivation of how singular vectors change with norms typically used in the atmosphere–ocean literat
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12

Tellili, Adel, Aymen Elghoul, and Mohamed Naceur Abdelkrim. "Additive fault tolerant control of nonlinear singularly perturbed systems against actuator fault." Journal of Electrical Engineering 68, no. 1 (2017): 68–73. http://dx.doi.org/10.1515/jee-2017-0009.

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AbstractThis paper presents the design of an additive fault tolerant control for nonlinear time-invariant singularly perturbed systems against actuator faults based on Lyapunov redesign principle. The overall system is reduced into subsystems with fast and slow dynamic behavior using singular perturbation method. The time scale reduction is carried out when the singular perturbation parameter is set to zero, thus avoiding the numerical stiffness due to the interaction of two different dynamics. The fault tolerant controller is computed in two steps. First, a nominal composite controller is des
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13

Mohan Rayguru, Madan, Balakrishnan Ramalingam, and Mohan Rajesh Elara. "A singular perturbation based adaptive strategy for bounded controller design in feedback linearizable systems." International Journal of Adaptive Control and Signal Processing 36, no. 2 (2021): 264–81. http://dx.doi.org/10.1002/acs.3360.

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14

Liu, Ye, Zhu Ying Li, Xiang Yu, and Wen Kang Cao. "Design of Cylindrical Metamaterial Invisible Cloak with Non-Singular Electromagnetic Tensors." Advanced Materials Research 1082 (December 2014): 10–13. http://dx.doi.org/10.4028/www.scientific.net/amr.1082.10.

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Based on line transformation, cylindrical metamaterial invisible cloak with non-singular electromagnetic tensors is designed. The results of simulation software based on finite element methods (FEM) show that the singularity in the electromagnetic tensors of the cloak has been eliminated, comparing with the cylindrical cloak with ideal tensors. From the simulation results, although there is electromagnetic perturbation in the free-space of the solution region, this cloak exhibits nice electromagnetic invisible performance. The bending wave front is clearly seen when the incoming wave transmits
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15

Paarya, A. R., and H. Zarabadipour. "Digital Controller Design for Half-Car Active Suspension System with Using Singular Perturbation Theory." Advanced Materials Research 403-408 (November 2011): 4800–4805. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.4800.

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In this paper the digital controller design for vehicle suspension system, based on a half-car model using singular perturbed systems is considered. This strategy is based on the slow and fast subsystems controller design. The simulation results show them favorable performance of the controller and achieve fast and good response.
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16

Wang, Bing-Long, Yan Cai, Jin-Chun Song, and Qian-Kun Liang. "A Singular Perturbation Theory-Based Composite Control Design for a Pump-Controlled Hydraulic Actuator with Position Tracking Error Constraint." Actuators 12, no. 7 (2023): 265. http://dx.doi.org/10.3390/act12070265.

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Pump-controlled hydraulic actuators (PHAs) contain slow mechanical and fast hydraulic dynamics, and thus singular perturbation theory can be adopted in the control strategies of PHAs. In this article, we develop a singular perturbation theory-based composite control approach for a PHA with position tracking error constraint. Disturbance observers (DOBs) are used to estimate the matched and mismatched uncertainties for online compensation. A sliding surface-like error variable is proposed to transform the second-order mechanical subsystem into a first-order error subsystem. Consequently, the po
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17

Ma, Caipeng, Jinjun Jia, Tiedong Zhang, Shaoqun Wu, and Dapeng Jiang. "Horizontal Trajectory Tracking Control for Underactuated Autonomous Underwater Vehicles Based on Contraction Theory." Journal of Marine Science and Engineering 11, no. 4 (2023): 805. http://dx.doi.org/10.3390/jmse11040805.

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In this paper, contraction theory is applied to design a control law to address the horizontal trajectory tracking problem of an underactuated autonomous underwater vehicle. Suppose that the vehicle faces challenges such as model uncertainties, external environmental disturbances, and actuator saturation. Firstly, a coordinate transformation is introduced to solve the problem of underactuation. Then, a disturbance observer is designed to estimate the total disturbances, which are composed of model uncertainties and external environmental disturbances. Next, a saturated controller is designed b
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18

Razmjooei, Hamid, and Mohammad Hossein Shafiei. "A novel finite-time disturbance observer-based partial control design: A guidance application." Journal of Vibration and Control 26, no. 11-12 (2019): 1001–11. http://dx.doi.org/10.1177/1077546319890951.

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This paper presents a novel technique to design a robust finite-time partial stabilizer, based on the non-singular terminal sliding mode method and a disturbance observer for the missile guidance problem. In the proposed method, the finite-time stability is desired for only a part of the state variables in the guidance system. Accordingly, the guidance system is divided into two subsystems where the finite-time stability is desired only for the first subsystem. Then, a partial diffeomorphism transformation is used to convert the first subsystem into the normal form. Finally, the components of
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19

Demetriou, Michael A., and Nikolaos Kazantzis. "Natural Observer Design for Singularly Perturbed Vector Second-Order Systems." Journal of Dynamic Systems, Measurement, and Control 127, no. 4 (2004): 648–55. http://dx.doi.org/10.1115/1.2101847.

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Our aim in the present research study is to develop a systematic natural observer design framework for vector second-order systems in the presence of time-scale multiplicity. Specifically, vector second-order mechanical systems are considered along with fast sensor dynamics, and the primary objective is to obtain accurate estimates of the unmeasurable slow system state variables that are generated by an appropriately designed model-based observer. Within a singular perturbation framework, the proposed observer is designed on the basis of the system dynamics that evolves on the slow manifold, a
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20

Reynolds, C. A., M. S. Peng, S. J. Majumdar, S. D. Aberson, C. H. Bishop, and R. Buizza. "Interpretation of Adaptive Observing Guidance for Atlantic Tropical Cyclones." Monthly Weather Review 135, no. 12 (2007): 4006–29. http://dx.doi.org/10.1175/2007mwr2027.1.

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Abstract Adaptive observing guidance products for Atlantic tropical cyclones are compared using composite techniques that allow one to quantitatively examine differences in the spatial structures of the guidance maps and relate these differences to the constraints and approximations of the respective techniques. The guidance maps are produced using the ensemble transform Kalman filter (ETKF) based on ensembles from the National Centers for Environmental Prediction and the European Centre for Medium-Range Weather Forecasts (ECMWF), and total-energy singular vectors (TESVs) produced by ECMWF and
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21

Ge, Shuzhi S., and Ian Postlethwaite. "Adaptive Neural Network Controller Design for Flexible Joint Robots using Singular Perturbation Technique." Transactions of the Institute of Measurement and Control 17, no. 3 (1995): 120–31. http://dx.doi.org/10.1177/014233129501700304.

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In this paper, an adaptive neural network controller is presented for flexible joint robots using Singular Perturbation techniques by modelling the elastic forces as the fast variables and link variables as slow variables. The neural network controller is to control the slow dynamics in order to eliminate the tedious preliminary computation of the regressor matrix. Unlike many neural network (NN) controllers in the literature, inverse dynamical model evaluation is not required and no time-consuming training process is necessary except for initialising the NNs based on approximate function valu
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22

Cong, Zhang, and Wu Yun-jie. "Non-singular terminal dynamic surface control based integrated guidance and control design and simulation." ISA Transactions 63 (July 2016): 112–20. http://dx.doi.org/10.1016/j.isatra.2016.03.013.

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23

Shahravi, Morteza, and Milad Azimi. "Attitude and Vibration Control of Flexible Spacecraft Using Singular Perturbation Approach." ISRN Aerospace Engineering 2014 (May 29, 2014): 1–13. http://dx.doi.org/10.1155/2014/163870.

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This paper addresses a composite two-time-scale control system for simultaneous three-axis attitude maneuvering and elastic mode stabilization of flexible spacecraft. By choosing an appropriate time coordinates transformation system, the spacecraft dynamics can be divided into double time-scale subsystems using singular perturbation theory (SPT). Attitude and vibration control laws are successively designed by considering a time bandwidths separation between the oscillatory flexible parts motion describing a fast subsystem and rigid body attitude dynamics as a slow subsystem. A nonlinear quate
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24

Yuan, Chengren, Changgeng Shuai, Yuan Fang, and Jianguo Ma. "Decoupled Planes’ Non-Singular Adaptive Integral Terminal Sliding Mode Trajectory Tracking Control for X-Rudder AUVs under Time-Varying Unknown Disturbances." Journal of Marine Science and Engineering 10, no. 10 (2022): 1408. http://dx.doi.org/10.3390/jmse10101408.

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This paper analyzes the trajectory tracking problem in decoupled planes for X-rudder AUVs under time-varying, unknown environmental interferences. The proposed scheme consists of the kinematic control law based on the compound line-of-sight guidance law and the dynamic control law based on a non-singular adaptive integral terminal sliding mode control (NAITSMC) to avoid the chattering problems, parameter perturbation, and time-varying disturbances. Meanwhile, we introduce a reduced-order extended state observer (RESO) to compensate for unknown ocean currents by the first-order Gauss–Markov pro
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25

Liao, Zhiming, Yue Hao, Tao Guo, Bingxin Lv, and Qiang Wang. "Second-Order Sliding Mode Control of Permanent Magnet Synchronous Motor Based on Singular Perturbation." Energies 15, no. 21 (2022): 8028. http://dx.doi.org/10.3390/en15218028.

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The second-order sliding mode control has strong robustness. Its application has greatly improved the anti-jamming ability of permanent magnet synchronous motor(PMSM) speed control systems. However, the influence of noise is unavoidable due to the introduction of a differentiator in the second-order sliding mode control, and the steady-state performance of the system is poor due to the absence of a q-axis current loop. This paper proposes a second-order sliding mode control method based on singular perturbation, which decouples the PMSM speed control system into two subsystems, the slow subsys
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26

Liu, Shu Qing, Qian Jia, and Hao Zhou. "Composite Controller Design for Rigid-Flexible Coupling Mechanical System." Applied Mechanics and Materials 722 (December 2014): 258–61. http://dx.doi.org/10.4028/www.scientific.net/amm.722.258.

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A dynamic model in singular perturbation form is established for the deformation and vibration of rigid-flexible coupling mechanical system due to the drive force, inertia force and gravity. This model is divided into slow subsystem and fast subsystem. A PD controller is designed for slow subsystem while optimal controller for fast subsystem and a composite controller is developed based on this. The validity of the composite controller is verified through MATLAB simulation with a flexible scissor-like deployable mechanism as an example. The results can be used in control of CNC machine, robot,
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Bizzo, Bruno Salgado, Guilherme Araujo Pimentel, Rafael da Silveira Castro, and Ricardo Pérez-Ibacache. "Model reduction and feedback design based on singular perturbation method applied to a lumped DER-microgrid model." International Journal of Electrical Power & Energy Systems 132 (November 2021): 107154. http://dx.doi.org/10.1016/j.ijepes.2021.107154.

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28

Yurkevich, Valery D. "PWM Controller Design based on Singular Perturbation Technique: A Case Study of Buck-Boost DC-DC Converter." IFAC Proceedings Volumes 44, no. 1 (2011): 9739–44. http://dx.doi.org/10.3182/20110828-6-it-1002.00963.

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29

Krishnamurthy, Prashanth, and Farshad Khorrami. "A Singular Perturbation Based Global Dynamic High Gain Scaling Control Design for Systems With Nonlinear Input Uncertainties." IEEE Transactions on Automatic Control 58, no. 10 (2013): 2686–92. http://dx.doi.org/10.1109/tac.2013.2257968.

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30

Guan, Jun, and Wenjun Yi. "Integrated Guidance and Control Design for Guided Projectile Using Sliding Mode Method." Journal of Physics: Conference Series 2478, no. 10 (2023): 102012. http://dx.doi.org/10.1088/1742-6596/2478/10/102012.

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Abstract According to the characteristics of special launch and flight environment such as high dynamic and large disturbance of guided projectile, the separate design method of traditional guidance system and control system will bring large errors, even affect the stability of the system, and the accuracy of projectile hitting the target is poor. In this paper, the guidance and control integrated control law of guided projectile is designed based on the sliding mode variable structure theory. The correctness, accuracy and stability of the designed control law are verified by numerical simulat
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MengXiuyun, SongQiaozhen. "Design and Simulation of Guidance Law with Angular Constraint Based on Non-singular Terminal Sliding Mode." Physics Procedia 25 (2012): 1197–204. http://dx.doi.org/10.1016/j.phpro.2012.03.220.

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32

Zhao, Hongqian, Honghua Dai, and Zhaohui Dang. "Fast guidance method of lunar landing based on dynamic programming." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 39, no. 1 (2021): 159–66. http://dx.doi.org/10.1051/jnwpu/20213910159.

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In this paper, a novel multi-stage trajectory transfer and fixed-point landing time optimal guidance method for the lunar surface emergency rescue mission is proposed. Firstly, the whole process motion and dynamics model for the lunar surface emergency rescue with four stages are established. Then, in the initial orbit transfer phase, the Lambert algorithm based on "prediction + correction" is designed for the non spherical gravitational perturbation of the moon. In the powered descent phase, the Hamiltonian function is used to design a time suboptimal explicit guidance law that can be applied
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Hoover, Brett T., Chris S. Velden, and Sharanya J. Majumdar. "Physical Mechanisms Underlying Selected Adaptive Sampling Techniques for Tropical Cyclones." Monthly Weather Review 141, no. 11 (2013): 4008–27. http://dx.doi.org/10.1175/mwr-d-12-00269.1.

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Abstract To efficiently and effectively prioritize resources, adaptive observations can be targeted by using some objective criteria to estimate the potential impact an initial condition perturbation (or analysis increment) in a specific region would have on the future forecast. Several objective targeting guidance techniques have been developed, including total-energy singular vectors (TESV), adjoint-derived sensitivity steering vectors (ADSSV), and the ensemble transform Kalman filter (ETKF), all of which were tested during the 2008 The Observing System Research and Predictability Experiment
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Wang, Yi, Wei-dong Song, Dan Fang, and Qing-wei Guo. "Guidance and Control Design for a Class of Spin-Stabilized Projectiles with a Two-Dimensional Trajectory Correction Fuze." International Journal of Aerospace Engineering 2015 (2015): 1–15. http://dx.doi.org/10.1155/2015/908304.

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A guidance and control strategy for a class of 2D trajectory correction fuze with fixed canards is developed in this paper. Firstly, correction control mechanism is researched through studying the deviation motion, the key point of which is the dynamic equilibrium angle. Phase lag of swerve response is the dominating factor for correction control, and formula is deduced with the Mach number as argument. Secondly, impact point deviation prediction based on perturbation theory is proposed, and the numerical solution and application method are introduced. Finally, guidance and control strategy is
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Xu, Bin, and Pengchao Zhang. "Composite Learning Sliding Mode Control of Flexible-Link Manipulator." Complexity 2017 (2017): 1–6. http://dx.doi.org/10.1155/2017/9430259.

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This paper studies the control of a flexible-link manipulator with uncertainty. The fast and slow dynamics are derived based on the singular perturbation (SP) theory. The sliding mode control is proposed while the adaptive design is developed using neural networks (NNs) and disturbance observer (DOB) where the novel update laws for NN and DOB are designed. The closed-loop system stability is guaranteed via Lyapunov analysis. The effectiveness of the proposed method is verified via simulation test.
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Yang, Rongrong, Yongjie Ma, Jiali Zhao, Ling Zhang, and Hua Huang. "Automatic Current-Constrained Double Loop ADRC for Electro-Hydrostatic Actuator Based on Singular Perturbation Theory." Actuators 11, no. 12 (2022): 381. http://dx.doi.org/10.3390/act11120381.

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For an electro-hydrostatic actuator (EHA), the position, speed, and current cascade three-loop control architecture are dominant in existing active disturbance rejection control (ADRC). However, this architecture suffers from many problems, such as severe noise sensitivity of the extended state observer (ESO), excessive complexity of control structure, and too many tuned parameters, which makes the controller not easy to implement in practice. Aiming at the above drawbacks, a novel cascade double-loop ADRC strategy that is automatic current-constrained is proposed, which makes the whole ADRC a
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Huisinga, Hauke, and Lutz Hofmann. "Order reduction in electrical power systems using singular perturbation in different coordinate systems." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 4 (2018): 1525–34. http://dx.doi.org/10.1108/compel-08-2017-0360.

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Purpose Efficient calculations of the transient behaviour after disturbances of large-scale power systems are complex because of, among other things, the non-linearity and the stiffness of the overall state equation system (SES). Because of the rising amount of flexible transmission system elements, there is an increasing need for reduced order models with a negligible loss of accuracy. With the Extended Nodal Approach and the application of the singular perturbation method, it is possible to reduce the order of the SES adapted to the respective setting of the desired tasks and accuracy requir
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Song, Junhong, and Shenmin Song. "Robust impact angle constraints guidance law with autopilot lag and acceleration saturation consideration." Transactions of the Institute of Measurement and Control 41, no. 1 (2018): 182–92. http://dx.doi.org/10.1177/0142331218758885.

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In this paper, for the three-dimensional terminal guidance problem of a missile intercepting a manoeuvring target, a robust continuous guidance law with impact angle constraints in the presence of both an acceleration saturation constraint and a second-order-lag autopilot is developed. First, based on non-singular fast terminal sliding mode and adaptive control, a step-by-step backstepping method is used to design the guidance law. In the process of guidance law design, with the use of a finite-time control technique, virtual control laws are developed, a tracking differentiator is used to eli
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Xiong, Genliang, Jingxin Shi, and Haichu Chen. "Cascaded Control of Flexible-Joint Robots Based on Sliding-Mode Estimator Approach." Journal of Robotics 2020 (October 26, 2020): 1–12. http://dx.doi.org/10.1155/2020/8861847.

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The inherent highly nonlinear coupling and system uncertainties make the controller design for a flexible-joint robot extremely difficult. The goal of the control of any robotic system is to achieve high bandwidth, high accuracy of trajectory tracking, and high robustness, whereby the high bandwidth for flexible-joint robot is the most challenging issue. This paper is dedicated to design such a link position controller with high bandwidth based on sliding-mode technique. Then, two control approaches ((1) extended-regular-form approach and (2) the cascaded control structure based on the sliding
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40

Zhao, F. J., and H. You. "New three-dimensional second-order sliding mode guidance law with impact-angle constraints." Aeronautical Journal 124, no. 1273 (2019): 368–84. http://dx.doi.org/10.1017/aer.2019.130.

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AbstractAiming at the issue of missiles attacking on-ground maneuvering targets in three-dimensional space, a three-dimensional finite-time guidance law with impact-angle constraints is proposed. In order to improve convergence speed and restrain chattering phenomenon, the nonsingular fast terminal three-dimensional second-order sliding mode guidance law with coupling terms is designed based on the theory of nonhomogeneous fast terminal sliding surface and second-order sliding mode control. The system model need not be linearized during the design process, and the singular problem is avoided.
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41

Soo, Von-Wun, and Tse-Ching Wang. "Integration of qualitative and quantitative reasoning in iterative parametric mechanical design." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 6, no. 2 (1992): 95–109. http://dx.doi.org/10.1017/s0890060400002985.

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A framework IPD (Iterative Parametric Design) is proposed to assist the iterative parametric mechanical design process. To effectively find a set of satisfiable values for the design parameters the key is to find good heuristics to adjust or tune the parametric values resulting from previous design iterations. We propose that heuristics can come from two aspects by both qualitative and quantitative reasoning. Qualitative reasoning, based on confluences, provides global control over the feasible directions of variable adjustments, while quantitative reasoning, based on the dependency network an
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Yeh, Chi-An, and Kunihiko Taira. "Resolvent-analysis-based design of airfoil separation control." Journal of Fluid Mechanics 867 (March 26, 2019): 572–610. http://dx.doi.org/10.1017/jfm.2019.163.

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We use resolvent analysis to design active control techniques for separated flows over a NACA 0012 airfoil. Spanwise-periodic flows over the airfoil at a chord-based Reynolds number of$23\,000$and a free-stream Mach number of$0.3$are considered at two post-stall angles of attack of$6^{\circ }$and$9^{\circ }$. Near the leading edge, localized unsteady thermal actuation is introduced in an open-loop manner with two tunable parameters of actuation frequency and spanwise wavelength. To provide physics-based guidance for the effective choice of these control input parameters, we conduct global reso
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Liu, Sheng, Changkui Xu, and Lanyong Zhang. "Robust Course Keeping Control of a Fully Submerged Hydrofoil Vessel with Actuator Dynamics: A Singular Perturbation Approach." Mathematical Problems in Engineering 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/6402012.

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This paper presents a two-time scale control structure for the course keeping of an advanced marine surface vehicle, namely, the fully submerged hydrofoil vessel. The mathematical model of course keeping control for the fully submerged hydrofoil vessel is firstly analyzed. The dynamics of the hydrofoil servo system is considered during control design. A two-time scale model is established so that the controllers of the fast and slow subsystems can be designed separately. A robust integral of the sign of the error (RISE) feedback control is proposed for the slow varying system and a disturbance
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44

Zhu, G., S. S. Ge, and T. H. Lee. "Simulation studies of tip tracking control of a single-link flexible robot based on a lumped model." Robotica 17, no. 1 (1999): 71–78. http://dx.doi.org/10.1017/s0263574799000971.

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In this paper, tip tracking control of a single-link flexible robot is studied through computer simulations. The controller investigated is of a two-loop PD type, which is deduced from a control approach originally developed for elastic joint robots. A very simple model, with the flexible link of the robot being lumped to a spring-mass unit, is employed for the controller design. Bounded Input and Bounded Output (BIBO) stable tip tracking performance is guaranteed. The controller is robustly stable under system parameter uncertainties, and is comparatively easy to implement. In the simulations
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45

Yoo, Heonjong, and Zoran Gajic. "New Designs of Reduced-Order Observer-Based Controllers for Singularly Perturbed Linear Systems." Mathematical Problems in Engineering 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/2859548.

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The slow and fast reduced-order observers and reduced-order observer-based controllers are designed by using the two-stage feedback design technique for slow and fast subsystems. The new designs produce an arbitrary order of accuracy, while the previously known designs produce the accuracy of O(ϵ) only where ϵ is a small singular perturbation parameter. Several cases of reduced-order observer designs are considered depending on the measured state space variables: only all slow variables are measured, only all fast variables are measured, and some combinations of the slow and fast variables are
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46

Dana Karimtaevna, Satybaldina, and Kalmаganbetova Zhuldyzay Asylbekkyzy. "Robust control for a tracking electromechanical system." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 5 (2022): 4883. http://dx.doi.org/10.11591/ijece.v12i5.pp4883-4891.

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<p>A strategy for the design of robust control of tracking electromechanical systems based on 𝐻∞ synthesis is proposed. Proposed methods are based on the operations on frequency characteristics of control systems designed and developed using the MATLAB robust control toolbox. Determination of the singular values for a transfer matrix of the control system reduces the disturbances and guarantees its stability margin. For selecting the weighted transfer functions, the basic recommendations are formulated. The efficiency of the proposed approach is verified by robust control of an elastical
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Ju, Jinyong, Wei Li, Yuqiao Wang, Mengbao Fan, and Xuefeng Yang. "Two-Time Scale Virtual Sensor Design for Vibration Observation of a Translational Flexible-Link Manipulator Based on Singular Perturbation and Differential Games." Sensors 16, no. 11 (2016): 1804. http://dx.doi.org/10.3390/s16111804.

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48

Lai, Chao, Weihong Wang, Zhenghua Liu, and Zheng Ma. "Three-dimensional integrated guidance and control for terminal angle constrained attack against ground maneuvering target." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 7 (2018): 2393–412. http://dx.doi.org/10.1177/0954410018778988.

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A neuro-adaptive fast terminal sliding-mode dynamic surface control method based on a finite-time stable nonlinear extended state observer is applied to integrated guidance and control design for skid-to-turn missile attacking a ground maneuvering target with terminal angle constraints. A three-dimensional integrated guidance and control design model against a maneuvering target for skid-to-turn missile is established without the assumption that the missile velocity vector and the line of sight coincide with each other. The non-singular fast terminal sliding surface is applied to construct the
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49

Chandran, Karthik, Weidong Zhang, Rajalakshmi Murugesan, S. Prasanna, A. Baseera, and Sanjeevi Pandiyan. "Adaptive Decentralized Tracking Control for Nonlinear Large-Scale Systems." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 28, Supp02 (2020): 93–110. http://dx.doi.org/10.1142/s0218488520400176.

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Decentralized Model Reference Adaptive Control problems are investigated for a class of linear time-invariant two time-scale model, having fast and slow dynamics and unmatched interconnections. Design of full state feedback controller is a critical task to the system having interrelated dynamics and nonlinear interconnections of time varying lags, however, can be addressed by singular perturbation procedures and time scale modeling. In this research, full order observer-based state feedback control is designed to two-time scale system to ensure the stability of the closed loop system. Then, de
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Kim, In Hyuk, and Young Ik Son. "Design of a Low-Order Harmonic Disturbance Observer with Application to a DC Motor Position Control." Energies 13, no. 5 (2020): 1020. http://dx.doi.org/10.3390/en13051020.

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Among various tools implemented to counteract undesired effects of time-varying uncertainties, disturbance observer (DOB)-based controller has gained wide popularity as a result of its flexibility and efficacy. In this paper, a low-order DOB that is capable of compensating for the effects of a biased harmonic disturbance, as well as plant uncertainties is presented. The proposed low-order DOB can asymptotically estimate a harmonic disturbance of known frequency but unknown amplitude and phase, by using measurable output variables. An analysis carried out by using the singular perturbation theo
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