On observability of singular linear hybrid systems

Shcheglova, A. A.

doi:10.1016/j.na.2005.02.120

Cited by 5 publications

(2 citation statements)

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“…Many dynamic systems can be modelled as switched and descriptor systems. Some constructive results have been reported in [4][5][6][7][8][9][10][11][12]. An sufficient condition of solvability of the H ∞ control problem of switched and impulsive singular systems was given in [8].…”

Section: Introductionmentioning

confidence: 99%

Admissible control for a class of switched and descriptor systems with impulsive effects

Yuan

Shi

2009

2009 Chinese Control and Decision Conference

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Switching and impulsive phenomena often appear in practical dynamical systems. The impulse at switching instants is taken into account and, in this paper, the admissible control problem of a class of switched and descriptor systems with impulsive effects is investigated. Furthermore, the descriptor matrix of each descriptor subsystem is allowed to have different rank. By designing a feedback controller and an impulsive controller, the corresponding closed-loop systems can be admissible (regular, impulsive-free and stable). The conditions for the existence of such controllers are proposed in terms of strict linear matrix inequality (LMI). An example is given to show the effectiveness of the design method in this paper.

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Section: Introductionmentioning

confidence: 99%

Admissible control for a class of switched and descriptor systems with impulsive effects

Yuan

Shi

2009

2009 Chinese Control and Decision Conference

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“…37,38 Singular systems, which are also referred to as implicit and descriptor systems, have extensive applications in many practical systems, such as circuit boundary control systems, chemical processes, economic systems, and other areas (refer to Lewis 37 and its bibliography for more applications). Hence, there has been considerable interest in the research area of modeling, analysis, and control of singular systems such as stability analysis, [39][40][41][42][43][44] robust stability of singular systems, 45 observability and controllability analysis, 46,47 sliding mode controller design, 48 admissible controller design, 49 synchronization analysis of singular coupled networks, 50,51 and positive fractional descriptor 52 ; for more results, see previous works [40][41][42] and their bibliography.…”

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confidence: 99%

On singular hybrid switched and impulsive systems

Zamani

Shafiee

Ibeas

2017

Intl J Robust & Nonlinear

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Summary In this work, the problem of stability analysis for a class of singular hybrid switched and impulsive system (HSIS) is addressed. Corresponding to each subsystem, a hybrid switched and impulsive controller is designed and then the exponential stability property of the proposed singular HSIS is discussed for linear and nonlinear cases. Because switched systems without impulses are a special case of HSISs, the results are also given to switched system with synchronous and asynchronous controllers. The obtained results apply to control singular systems, and the introduced theorems allow knowing how the control must be designed. Two numerical examples are given to show the effectiveness of the proposed approaches. At first, by using MATLAB® software, the proposed method is applied to a class of physiological processes of endocrine disruptor diethylstilbestrol models to illustrate the effectiveness of the results obtained here for the linear case. Thereafter, another numerical example is provided to support the presented theoretical results for the nonlinear case.

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Conditions for distinguishability and observability of switched linear systems

Lou

Yang

2011

Nonlinear Analysis: Hybrid Systems

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On observability of singular linear hybrid systems

Cited by 5 publications

References 1 publication

Admissible control for a class of switched and descriptor systems with impulsive effects

Admissible control for a class of switched and descriptor systems with impulsive effects

On singular hybrid switched and impulsive systems

Conditions for distinguishability and observability of switched linear systems

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