Finite-time stability analysis of impulsive discrete-time switched systems with nonlinear perturbation

Wang, Yijing; Shi, Xiaomeng; Zuo, Zhiqiang; Liu, Yuhua; Chen, Michael Z. Q.

doi:10.1080/00207179.2014.915059

Cited by 8 publications

(9 citation statements)

References 23 publications

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“…Remark 2: There are many elegant research achievements on the FTB for switched systems (see [25][26][27][28]). For example, in [25,27], the authors study the FTS for switched system without time delays by using arbitrary switching rule.…”

Section: Pr{r(k)mentioning

confidence: 99%

Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method

Lei-ming

2016

IET signal process.

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This study deals with the problem of robust H ∞ finite-time boundedness analysis and design of finite-time H ∞ feedback control for discrete switched systems. By using sojourn probability information, a new kind of switched system model is proposed. Based on this model, sufficient conditions for the H ∞ finite-time boundedness are obtained by using Lyapunov functional method and the corresponding controllers are also designed. Moreover, when considering partially known probabilities and unknown system uncertainties, the analysis and design methods are also given. Finally, an example is given to illustrate the efficiency of the proposed method.

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Section: Pr{r(k)mentioning

confidence: 99%

Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method

Lei-ming

2016

IET signal process.

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“…Necessary and sufficient conditions for FTS of impulsive dynamical linear systems were proposed in [20]. Other literatures consider FTS of impulsive systems from different aspects, see [21][22][23][24][25][26] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stability of non‐linear systems with impulsive effects due to logic choice

Zhang

Wang

2018

IET Control Theory & Applications

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“…Hence, the finite-time stability is more practically meaningful compared with Lyapunov asymptotic stability. For more related results on finite-time stability, interested readers can be referred to [6,14,[21][22][23] and references cited therein. Moreover, time-delay is a common phenomenon arising in various practical applications, for example, networked control systems, chemical engineering systems, and power systems [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Event-Triggered Control for Switched Systems with Time-Varying Delay and Norm-Bounded Disturbance

Qin

Liu

et al. 2016

Mathematical Problems in Engineering

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This paper is concerned with the problem of observed-based event-triggered control for switched linear systems with time-varying delay and exogenous disturbance. First by employing a state observer, an observer-based event-triggered controller is designed to guarantee the finite-time boundedness and finite-time stabilization of the resulting dynamic augmented closed-loop system. Then based on the Lyapunov-like function method and the average dwell time technique, some sufficient conditions are given to ensure the finite-time boundedness and finite-time stabilization, respectively. Furthermore, the lower bound of the minimum interevent interval is proved to be positive, which thus excludes the Zeno behavior of sampling. A numerical example is finally exploited to verify the effectiveness and potential of the achieved control scheme.

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Finite-time stability analysis of impulsive discrete-time switched systems with nonlinear perturbation

Cited by 8 publications

References 23 publications

Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method

Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method

Finite‐time stability of non‐linear systems with impulsive effects due to logic choice

Observer-Based Event-Triggered Control for Switched Systems with Time-Varying Delay and Norm-Bounded Disturbance

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Finite-time stability analysis of impulsive discrete-time switched systems with nonlinear perturbation

Cited by 8 publications

References 23 publications

Robust finite‐time H ∞ control for switched systems by using sojourn‐probability‐dependent method

Robust finite‐time H ∞ control for switched systems by using sojourn‐probability‐dependent method

Finite‐time stability of non‐linear systems with impulsive effects due to logic choice

Observer-Based Event-Triggered Control for Switched Systems with Time-Varying Delay and Norm-Bounded Disturbance

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Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method

Robust finite‐time H _∞ control for switched systems by using sojourn‐probability‐dependent method