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Attitude tracking control for variable structure near space vehicles based on switched nonlinear systems

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Chinese Journal of Aeronautics 2013年第1期26卷 186-193页

作者： Wang Yufei Jiang Changsheng Wu Qingxian College of Automation Engineering Nanjing University of Aeronautics and Astronautics

An adaptive robust attitude tracking control law based on switched nonlinear systems is presented for a variable structure near space vehicle （VSNSV） in the presence of uncertainties and disturbances. The adaptive fuzzy systems are employed for approximating unknown functions in the flight dynamic model and their parameters are updated online. To improve the flight robust performance, robust controllers with adaptive gains are designed to compensate for the approximation errors and thus they have less design conservation. Moreover, a systematic procedure is developed for the synthesis of adaptive fuzzy dynamic surface control （DSC） approach. According to the common Lyapunov function theory, it is proved that all signals of the closed-loop system are uniformly ultimately bounded by the continuous controller. The simulation results demonstrate the effectiveness and robustness of the proposed control scheme.

关键词： Attitude control Fuzzy control Robust control switched nonlinear systems Variable structure near space vehicle

Output Feedback Tracking Control for a Class of switched nonlinear systems with Time-varying Delay

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International Journal of Automation and computing 2014年第6期11卷 605-612页

作者： Bin Wang Jun-Yong Zhai Shu-Min Fei Key Laboratory of Measurement and Control of CSE Ministry of Education School of Automation Southeast University

This paper studies the problem of tracking control for a class of switched nonlinear systems with time-varying delay. Based on the average dwell-time and piecewise Lyapunov functional methods, a new exponential stability criterion is obtained for the switched nonlinear systems. The designed output feedback H∞controller can be obtained by solving a set of linear matrix inequalities(LMIs).Moreover, the proposed method does not need that a common Lyapunov function exists for the switched systems, and the switching signal just depends on time. A simulation example is provided to demonstrate the effectiveness of the proposed design scheme.

关键词： Tracking control switched nonlinear systems exponential stability time-varying delay H ∞ controller

Adaptive Control for a Class of switched nonlinear systems via Backstepping Recursive Design

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Adaptive Control for a Class of Switched Nonlinear Systems v...

第25届中国控制与决策会议

作者： Chunyan Wang College of Sciences Yanshan University

ISBN: (纸本)9781467355339

This paper focuses on adaptive stabilization problems for a class of switched nonlinear systems in lower triangular structure with uncertain parameter vector. A systematic recursive algorithm for designing an adaptive stabilizing controller is proposed by extending the backstepping method for no-switched nonlinear systems to the switched ones. The constructed controller guarantees the resultant closed-loop switched system to be globally stable in sense of Lyapunov at the equilibrium under the designed switching law and adaptive law. Finally, the simulation of an example is given to show the effectiveness of the proposed recursive approach.

关键词： switched nonlinear systems adaptive control stabilization Lyapunov function backstepping

Indefinite Lyapunov functions based stability of switched nonlinear systems 32

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Indefinite Lyapunov functions based stability of switched no...

第32届中国控制与决策会议

作者： ZHANG Junfeng ZHANG Suhuan Liu Laiyou CAI Xiushan School of Automation Hangzhou Dianzi University Inria University of Lille CNRS College of Mathematics Physics and Information Engineering Zhejiang Normal University

ISBN: (数字)9781728158556

ISBN: (纸本)9781728158556;9781728158563

This paper investigates the stability of switched nonlinear systems using indefinite Lyapunov functions, which mean that the derivation along the systems is indefinite. Two cases are considered:（i） the uniformly stable functions of the Lyapunov functions of all subsystems are integrally bounded, and（ii） the uniformly stable functions of the Lyapunov functions of part subsystems are integrally bounded. First, multiple Lyapunov-Krasovskii functionals are constructed for the stability of switched nonlinear time-delay systems with case（i）. Then, the stability of the systems with case（ii）are explored. The contributions of the paper lie in that the stability with case（ii） is more general than existing results with case（i） and all switching laws considered are average dwell time switching that is less conservative than others switchings in literature. Finally, one example is provided to verify the effectiveness of the results.

关键词： switched nonlinear systems Indefinite Lyapunov functions Average dwell time switching

A New Approach to Practical Output Tracking Control for switched nonlinear systems with Unstable Subsystems 36

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A New Approach to Practical Output Tracking Control for Swit...

第36届中国控制会议

作者： Zhibao Song Zhengwei Zhu Junyong Zhai School of Automation Southeast University School of Information Science and Engineering Changzhou University

ISBN: (纸本)9781538629185

This paper considers the practical output tracking problem for a class of switched uncertain nonlinear systems with unstable subsystems. A new approach combining the single Lyapunov function（SLF） method and a dynamic gain based strategy is first proposed. Then the dynamic controllers of individual subsystems and a proper switching law are constructed to guarantee that all the signals of the resulting closed-loop system are globally bounded while the tracking error between output and reference signal can be arbitrary small after a finite time. Finally, a numerical example is given to demonstrate the validity of the proposed control scheme.

关键词： switched nonlinear systems Practical Output Tracking Dynamic Gain Single Lyapunov Function

Observer Based Adaptive Fault-Tolerant Control of switched nonlinear systems 36

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Observer Based Adaptive Fault-Tolerant Control of Switched N...

第36届中国控制会议

作者： Li Tang Jun Zhao Georgi M.Dimirovski Lei Liu State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University) College of Information Science and EngineeringNortheastern University School of Engineering Dogus University

ISBN: (纸本)9781538629185

An adaptive fault-tolerant control strategy is proposed for a class of switched nonlinear systems with unknown functions and unavailable states by using the improved average dwell time technique and backstepping method. We use radial basis function neural networks（RBFNNs） to approximate the unknown functions and a switched nonlinear state observer is designed to estimate the unavailable states. In order to solve the explosion of the complexity problem, dynamic surface control technique is used. The presented fault-tolerant controllers and update laws guarantee the boundedness of all signals in the closed-loop system under a class of switching signals with average dwell time. Furthermore, the system output can track a given reference signal and the estimation errors converge to some small compact sets. Finally, an example is employed to illustrate the effectiveness of the proposed method.

关键词： Fault-Tolerant Control nonlinear Observer Dynamic Surface Control switched nonlinear systems Average Dwell Time

Asymptotic Rejection for a Class of switched nonlinear systems with Unknown Sinusoidal Disturbances

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Asymptotic Rejection for a Class of Switched Nonlinear Syste...

第25届中国控制与决策会议

作者： Lijun Long Jun Zhao State Key Laboratory of Synthetical Automation for Process Industries Northeastern University

ISBN: (纸本)9781467355339

This paper investigates global disturbance rejection for switched nonlinear systems where the solvability of the disturbance rejection problem for subsystems is not assumed. The disturbances are assumed to be sinusoidal with completely unknown frequencies, phases and amplitudes. First, as an extension of the classic concept of internal model for non-switched systems, a new concept of switched internal model is proposed. Second, in order to solve the problem in question, an adaptive control methodology is established on the basis of the multiple Lyapunov functions method. Also, adaptive state-feedback controllers of subsystems are designed and incorporated with a switching law to asymptotically reject the unknown disturbances.

关键词： Disturbance rejection Adaptive control switched internal model switched nonlinear systems Multiple Lyapunov functions.

Global stabilization of switched nonlinear systems under arbitrary switchings via smooth output feedback 36

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Global stabilization of switched nonlinear systems under arb...

第36届中国控制会议

作者： Xiangze Lin Xueling Li Chih-Chiang Chen Shihua Li College of Engineering Nanjing Agricultural University School of Science China Pharmaceutical University Institute of Electrical Control Engineering Chiao Tung University School of Automation Southeast University

ISBN: (纸本)9781538629185

Global output feedback stabilization for a class of switched nonlinear systems is addressed. The tasks of finding a common Lyapunov function and designing state stabilizing feedback laws are solved simultaneously based on the adding a power integrator approach. Reduced-order compensators for the switched nonlinear system are constructed to estimate the unmeasurable states. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotic stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control.

关键词： switched nonlinear systems Smooth output feedback Global stabilization Arbitrary switchings

Design of controllers for a class of switched nonlinear systems based on backstepping method

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Frontiers of Electrical and Electronic Engineering in China 2008年第4期3卷 465-469页

作者： Zhengrong XIANG Weiming XIANG School of Automation Nanjing University of Science and TechnologyNanjing 210094China

The backstepping method is applied to a certain class of switched nonlinear systems to design state feedback controllers and a switching law based on multi-Lyapunov *** state feedback controllers and the switching law that can stabilize the system are *** switched nonlinear systems with uncertainties can be stabi-lized robustly by using the proposed ***,simu-lation results show the effectiveness of the method.

关键词： switched nonlinear systems backstepping method multi-Lyapunov functions robust stabilization