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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

Finite-Time H_∞ Control of switched nonlinear systems under State-Dependent Switching

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Journal of Applied Mathematics and Physics 2023年第7期11卷 2053-2068页

作者： Xiaoyue Zhang Yao Wang School of Mathematics and Statistics Shandong Normal University Ji’nan China

This paper investigates the finite-time H∞ control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H∞ control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions.

关键词： Finite-Time H∞ Control switched nonlinear systems Multiple Lyapunov-Like Functions State-Dependent Switching

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

Indefinite Lyapunov functions based stability of switched nonlinear systems

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Indefinite Lyapunov functions based stability of switched no...

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

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

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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

Stabilization of a class of switched nonlinear systems

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控制理论与应用（英文版） 2006年第1期4卷 53-61页

作者： Daizhan CHENG Gang FENG Zairong XI Institute of systems Science Chinese Academy of Sciences Beijing 100080 China Department of Manufacturing Engineering and Engineering Management City University of HongKong HongKong

The stabilization of a class of switched nonlinear systems is investigated in the paper. The systems concerned are of （generalized） switched Byrnes-Isidori canonical form, which has all switched models in （generalized） Byrnes- Isidori canonical form. First, a stability result of switched systems is obtained. Then it is used to solve the stabilization problem of the switched nonlinear control systems. In addition, necessary and sufficient conditions are obtained for a switched affine nonlinear system to be feedback equivalent to （generalized） switched Byrnes-Isidori canonical systems are presented. Finally, as an application the stability of switched lorenz systems is investigated.

关键词： switched nonlinear systems Stabilization Canonical form Common Lyapunov function

H-infinity control for cascade minimum-phase switched nonlinear systems

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控制理论与应用（英文版） 2005年第2期3卷 163-167页

作者： Shengzhi ZHAO Jun ZHAO Key Laboratory of Process Industry Automation Ministry of Education Northeastern University Shenyang Liaoning 110004 China Department of Mathematics Liaoning University Shenyang Liaoning 110036 China

This paper is concerned with the H-infinity control problem for a class of cascade switched nonlinear systems. Each switched system in this class is composed of a zero-mput asymptotically stable nonlinear part, which is also a switched system, and a linearizable part which is controllable. Conditions under which the H-infinity control problem is solvable under arbitrary switching law and under some designed switching law are derived respectively. The nonlinear state feedback and switching law are designed. We exploit the structural characteristics of the switched nonlinear systems to construct common Lyapunov functions for arbitrary switching and to find a single Lyapunov function for designed switching law. The proposed methods do not rely on the solutions of Hamilton-Jacobi inequalities.

关键词： switched nonlinear systems H-infinity control Common Lyapunov functions Single Lyapunov functions

Sampled-data Control of switched nonlinear systems via T-S Fuzzy Models

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Sampled-data Control of Switched Nonlinear Systems via T-S F...

Stability analysis of switched positive nonlinear systems: an invariant ray approach

第30届中国控制与决策会议

作者： Can Li Jie Lian Hongwei Wang School of Control Science and Engineering Dalian University of Technology School of Electrical Engineering Xinjiang University

This paper investigates the sampled-data control for a switched nonlinear system whose subsystems are represented by a family of T-S fuzzy models. In the case that the switching occurs at two consecutive sampling times, such a sampling interval is divided into a pseudo-matched interval and a mismatched interval. The sampling time interval without switching is defined as another pseudo-matched interval. For these intervals, three new functionals are respectively constructed by means of multiple Lyapunov functions, looped functionals and a discontinuous scalar auxiliary function. The proposed functionals do not need to be positive definite, and the jumps of functionals at switching instants are eliminated. Sufficient conditions on exponential stabilization via sampled-data state feedback are established.

关键词： switched nonlinear systems Sampled-data control T-S fuzzy model Non-positive Lyapunov functional

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Science China(Information Sciences) 2019年第11期62卷 174-188页

作者： Hao YANG Xudong ZHAO Bin JIANG College of Automation Engineering Nanjing University of Aeronautics and Astronautics School of Control Science and Engineering Dalian University of Technology

This paper addresses the stability problem associated with a class of switched positive nonlinear systems in which each vector field is homogeneous, cooperative, and irreducible. Instead of using the Lyapunov function approach, we fully establish the invariant ray analysis method to establish several stability conditions that depend on the states, rays, and/or times. We illustrate the efficiency of our proposed approach using the example of a chemical reaction.

关键词： positive systems switched nonlinear systems stability