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Non-fragile memory feedback control for uncertain time-varying delay switched fuzzy systems with unknown nonlinear disturbance

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Journal of Control and Decision 2021年第3期8卷 280-291页

作者： Le Zhang Mei-Yu Jia Hong Yang School of Information Engineering Shenyang UniversityShenyangPeople’s Republic of China

Currently,the feedback control rate of most nonlinear systems is realised by the memoryless state feedback controller which cannot affect the impact of time delay on the systems,and the general processing method of the Lyapunov–Krasovskii functional for the time-varying delay switched fuzzy systems(SFS)is more ***,this paper addresses the problem of nonfragile robust and memory state feedback control for switched fuzzy systems with unknown nonlinear ***-fragile memory state feedback robust controller which has two controller gains different from each other,and switching law are designed to keep the proposed systems asymptotically stable for all admissible parameter ***-dependent less conservative sufficient conditions are obtained through using the Lyapunov–Krasovskii functional method and free-weighting matrices depending on Leibniz–Newton,guaranteeing that the SFS can be asymptotically stable.A numerical example is given to illustrate the proposed controller performs better than the classic memoryless state feedback controller.

关键词： switched fuzzy systems memory state feedback controller non-fragile control switching control Lyapunov–Krasovskii functional switching law

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Robust Controller Design of a Class of Uncertain switched fuzzy systems with Delays

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Journal of Donghua University(English Edition) 2014年第4期31卷 396-400页

作者：姜玉东 College of Aerospace Engineering Nanjing University of Aeronautics and Astronautics

The robust control problem for a class of uncertain switched fuzzy systems with delays is investigated. Firstly,the model of the switched fuzzy system is presented and the parallel distributed compensation( PDC) technology is employed to design fuzzy controllers. Then, based on the convex combination method, a sufficient condition for robust stabilization in terms of linear matrix inequalities( LMIs) is obtained and a switching law is ***,the Lyapunov-Krasovskii functional is taken to deal with time varying delays. Moreover,an algorithm is applied to finding a solution for a group of convex combination coefficient. Finally,a numerical example is given to demonstrate the effectiveness of the proposed method.

关键词： switched fuzzy systems uncertainties delays robust control convex combination

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Stabilization of a class of Networked switched fuzzy systems 25th

Stabilization of a class of Networked Switched Fuzzy Systems

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第25届中国控制与决策会议

作者： Jie Wang Dan Ma Jinming Luo Jun Zhao State Key Laboratory of Synthetical Automation for Process Industries Northeastern University

ISBN: (纸本)9781467355339

In this paper, we study a class of networked switched fuzzy systems, which switched plants with the controllers connected by limited bandwidth communication channels, network induced delay and packet dropout happened inevitably. Using the parallel distributed compensation （PDC） method, we design a switched fuzzy controller to stabilize the closed-loop system. Meanwhile, free-weighting matrix has been taken to deal with the delay and packet dropout cased by network. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.

关键词： switched fuzzy systems networked induced delay stabilization free-weighting matrix.

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Exponential Stability of switched fuzzy systems with time-delay

Exponential Stability of Switched Fuzzy Systems with time-de...

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第24届中国控制与决策会议

作者： Hong Yang 1 , Le Zhang 1,2 1. School of Information Engineering, Shenyang University, Shenyang 110044, China2. School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116023, China

Average dwell time technique is an effective tool to study switched systems, but which has not been yet applied to study switched fuzzy delay systems. This paper deals with the problem of exponential stability for switched fuzzy systems based on this method. First, a model of a kind of uncertain switched fuzzy systems is presented, in which each subsystem is an uncertain fuzzy system. Then, based on Lyapunov functional candidate and average dwell time scheme, linear matrix inequalities’ （LMIs’） conditions are presented to guarantee robust exponential stability of the switched fuzzy delay systems. The exponential decay estimate for state is also explicitly developed. At last, two numerical examples are given to illustrate the effectiveness of the proposed method.

关键词： switched fuzzy systems average dwell time exponentially stable decay estimate

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Observer-based Exponential Stability for Time-varying Delay switched fuzzy System with Unmeasurable Premise Variables

Observer-based Exponential Stability for Time-varying Delay ...

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第30届中国控制与决策会议

作者： Le Zhang Fei Xu Ziqi Yang Meiyu Jia Hong Yang Chuang Cong Dongyan Dong School of Information Engineering Shenyang University Dalian Autovocational Technical Institute

The exponential stability of the system under the unmeasurable premise variables is proposed. The corresponding controller design of the system is investigated. By using the Multiple Function method, the sufficient conditions for the exponential stability of the closed loop system are studied, and the corresponding design scheme of the switching law is given. The switching strategy satisfies the energy attenuation of the subsystem of the switching time delay fuzzy system in the switching time. Finally, the simulation results show the correctness and effectiveness of the research conclusions.

关键词： switched fuzzy systems unmeasurable premise variables observer time-varying delay exponential stability

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Output Feedback Control for a Class of switched fuzzy System with Control Time-delay

Output Feedback Control for a Class of Switched Fuzzy System...

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第30届中国控制与决策会议

作者： Le Zhang Meiyu Jia Ziqi Yang Fei Xu Hong Yang Chuang Cong Dongyan Dong School of Information Engineering Shenyang University Dalian Autovocational Technical Institute

In this paper, a new stabilization condition of switched fuzzy systems is proposed. The dynamic output feedback control problem is addressed for a class of switched fuzzy systems. The dynamic output feedback with sufficient conditions and the design method of controller is given using multiple Lyapunov function method and switching law. The closed-loop system asymptotically stable is given by the designed controller. Adopting the dynamic output feedback control law, the order of the closed-loop system is reduced, which is helpful to improve the reliability of the system. Finally, simulation results verify the effectiveness of the conclusion.

关键词： switched fuzzy systems control time-delay output control switching control

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