Asynchronous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml58" display="inline" overflow="scroll" altimg="si58.gif"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math>control for discrete-time switched systems under state-dependent switching with dwell time constraint

Sang, Hong; Nie, Hong

doi:10.1016/j.nahs.2018.01.007

Cited by 26 publications

(4 citation statements)

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“…Consequently, in the analysis and design of switched systems, it is significant to consider the effect of asynchronous switching on system performance. Many valuable advances have been reported . In the works of Xiao and Xiang and Xiang et al, a dwell time‐dependent Lyapunov function (DTDLF) for discrete switched systems was constructed to solve asynchronous H ∞ control and filtering problem.…”

Section: Introductionmentioning

confidence: 99%

“…In the works of Xiao and Xiang and Xiang et al, a dwell time‐dependent Lyapunov function (DTDLF) for discrete switched systems was constructed to solve asynchronous H ∞ control and filtering problem. Later, Sang and Nie proposed a novel DTDLF, where an improved combined switching mechanism was conducted to analyze stability and l 2 ‐gain performance for switched systems under asynchronously switching control.…”

Section: Introductionmentioning

confidence: 99%

“…Many valuable advances have been reported. [21][22][23][24][25][26] In the works of Xiao and Xiang 24 and Xiang et al, 25 a dwell time-dependent Lyapunov function (DTDLF) for discrete switched systems was constructed to solve asynchronous H ∞ control and filtering problem. Later, Sang and Nie 26 proposed a novel DTDLF, where an improved combined switching mechanism was conducted to analyze stability and l 2 -gain performance for switched systems under asynchronously switching control.The passivity concept, introduced by Willems 27 and further developed by Hill and Moylan, 28,29 has been a focus of extensive research interest.…”

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confidence: 99%

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Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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Summary This article addresses the passivity analysis and asynchronous feedback passification problems for a class of discrete‐time switched systems with dwell time constraint. By exploiting dwell time‐dependent storage functions, a state‐dependent switching strategy obeying a dwell time constraint is constructed, and the solvability conditions for asynchronous feedback passification are developed in the form of linear matrix inequalities (LMIs). Moreover, the dwell time‐dependent asynchronous passive controllers are formulated simultaneously. It has been shown that the derived results are also applicable to the studies of passivity and synchronous feedback passification for discrete‐time switched systems under the combined switching strategy. Finally, a three‐tank system as a practical example is also provided to illustrate the applicability and effectiveness of our theoretic findings.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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“…Etienne et al recasted the stability analysis problem of switched systems with delay in the active mode detection into the hybrid framework and use hybrid Lyapunov functions. Discrete‐time switched systems are considered in the works of Xiao and Xiang, Sang and Nie, and Yuan et al where performance problems in terms of

{scriptH}_{\infty}

and

{scriptL}_{2}

gains are addressed. These performance problems were also studied by Zhang et al in the continuous‐time situation.…”

Section: Introductionmentioning

confidence: 99%

Input‐to‐state stability of switched nonlinear systems with delay in the active mode detection

Motchon

Etienne

Lecœuche

2019

Intl J Robust & Nonlinear

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Summary A switched nonlinear system subject to disturbances is considered in this paper. The switching signal admits an average dwell time and a state feedback control depending on the system operating modes, detected with a maximum time delay, is applied to the system. In this framework, the input‐to‐state stability problem of the closed‐loop system is addressed. Based on some established existence conditions of mode‐dependent Lyapunov‐like functions, the values of the maximum time delay and the average dwell time that allow to achieve the input‐to‐state stability of the closed‐loop system are determined. In order to obtain more tractable results, the existence conditions of the mode‐dependent Lyapunov‐like functions are given in terms of sum‐of‐squares programming in the case of polynomial nonlinearities. In the linear case, they are expressed in terms of linear matrix inequalities and a procedure for the synthesis of the mode‐dependent controller is provided in this situation. The established theoretical results are illustrated through a control problem of a building ventilation system and a switched control problem of a vehicle suspension system.

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Introduction

Fei¹,

Shi²,

Shi³

2019

Analysis and Synthesis for Discrete-Time Switched Systems

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AsynchronousH∞control for discrete-time switched systems under state-dependent switching with dwell time constraint

Cited by 26 publications

References 27 publications

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Input‐to‐state stability of switched nonlinear systems with delay in the active mode detection

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