Delay-dependent observer-based finite-time control for switched systems with time-varying delay

For the switched systems, switching behavior always affects the finite-time stability (FTS) property, which was neglected by most previous studies. This paper is mainly concerned with the problem of delay-dependent finite-time andL2-gain analysis for switched systems with time-varying delay. Several less conservative sufficient conditions related to finite-time stability and boundness of switched system with time-varying delays are proposed; the system trajectory stays within a special bound with the information of switching signal. At last, a numerical example is also given to illustrate the efficiency of the developed method.

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H∞ finite time control for discrete time-varying system with interval time-varying delay

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.05.031 ◽

2018 ◽

Vol 355 (12) ◽

pp. 5037-5057 ◽

Cited By ~ 5

Author(s):

Menghua Chen ◽

Jian Sun

Keyword(s):

Discrete Time ◽

Finite Time ◽

Time Varying ◽

Interval Time ◽

Time Varying Delay ◽

Time Control ◽

Varying Delay

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Finite-Time Control for Nonlinear Systems with Time-Varying Delay and Exogenous Disturbance

Symmetry ◽

10.3390/sym12030447 ◽

2020 ◽

Vol 12 (3) ◽

pp. 447 ◽

Cited By ~ 2

Author(s):

Yanli Ruan ◽

Tianmin Huang

Keyword(s):

Time Delay ◽

Nonlinear Systems ◽

Finite Time ◽

Delay System ◽

Time Varying ◽

Time Delay System ◽

Time Varying Delay ◽

Time Control ◽

Exogenous Disturbance ◽

Varying Delay

This paper is concerned with the problem of finite-time control for nonlinear systems with time-varying delay and exogenous disturbance, which can be represented by a Takagi–Sugeno (T-S) fuzzy model. First, by constructing a novel augmented Lyapunov–Krasovskii functional involving several symmetric positive definite matrices, a new delay-dependent finite-time boundedness criterion is established for the considered T-S fuzzy time-delay system by employing an improved reciprocally convex combination inequality. Then, a memory state feedback controller is designed to guarantee the finite-time boundness of the closed-loop T-S fuzzy time-delay system, which is in the framework of linear matrix inequalities (LMIs). Finally, the effectiveness and merits of the proposed results are shown by a numerical example.

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Finite-time stability and finite-time weighted L 2-gain analysis for switched systems with time-varying delay

IET Control Theory and Applications ◽

10.1049/iet-cta.2012.0551 ◽

2013 ◽

Vol 7 (7) ◽

pp. 1058-1069 ◽

Cited By ~ 66

Author(s):

Xiangze Lin ◽

Yun Zou ◽

Shihua Li ◽

Haibo Du

Keyword(s):

Finite Time ◽

Switched Systems ◽

Time Varying ◽

Time Stability ◽

Finite Time Stability ◽

Time Varying Delay ◽

Varying Delay

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Finite-Timel1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach

Abstract and Applied Analysis ◽

10.1155/2014/872158 ◽

2014 ◽

Vol 2014 ◽

pp. 1-11 ◽

Cited By ~ 3

Author(s):

Shuo Li ◽

Zhengrong Xiang ◽

Hamid Reza Karimi

Keyword(s):

Finite Time ◽

Switched Systems ◽

Sufficient Conditions ◽

Gain Control ◽

Delta Operator ◽

Time Varying ◽

Operator Approach ◽

Time Varying Delay ◽

Positive Switched Systems ◽

Varying Delay

This paper is concerned with the problem of finite-timel1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee thel1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with anl1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.

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