Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays

Zhang, Dan; Yu, Li; Wang, Qingguo; Ong, Chong Jin; Wu, Zheng‐Guang

doi:10.1016/j.jfranklin.2012.04.006

Cited by 50 publications

(29 citation statements)

References 38 publications

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“…We can observe that there is a tacit assumption for the switched systems that the descriptor matrix E is the same in all the subsystems. As discussed in [24][25][26], in this paper, we also assume this kind of requirement although this assumption is restrictive at present.…”

Section: Problem Statementmentioning

confidence: 99%

Robust finite‐time H _∞ control for uncertain discrete‐time singular systems with Markovian jumps

Zhang

Shi

Nguang³

et al. 2014

IET Control Theory & Applications

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This study is concerned with the finite-time H ∞ control problem for uncertain discrete-time Markovian jump singular systems with time-varying norm-bounded disturbance. Firstly, the concepts of singular finite-time stability, singular finite-time boundedness and singular H ∞ finite-time stabilisation are given. Then, sufficient conditions of singular finitetime boundedness and singular H ∞ finite-time stability are derived for the class of discrete-time Markovian jump singular systems. The main contribution of the study is to propose a numerical efficient and reliable controller design process for state feedback finite-time H ∞ control of discrete-time Markovian jump singular systems. By applying the descriptor system technique presented by Fridman and Shaked, sufficient criteria are presented for the solvability of the problems, which can be reduced to feasibility problems in terms of linear matrix inequalities. Finally, numerical examples are included to illustrate the validity of the presented results.

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Section: Problem Statementmentioning

confidence: 99%

Robust finite‐time H _∞ control for uncertain discrete‐time singular systems with Markovian jumps

Zhang

Shi

Nguang³

et al. 2014

IET Control Theory & Applications

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“…Accordingly, until to date, there exist only few works that have been interested with the filtering problems of the studied systems, and the main difficulty of such problem lies in the design of a linear mode‐dependent filter that guarantee the regularity, causality, and asymptotic stability of the resulting filtering error system with a prescribed H ∞ performance bound. For example, in Reference , the exponential H ∞ filtering problem for discrete‐time SSTVD systems has been considered, by reconstructing an appropriate Lyapunov functional and by using the ADT approach, such approach which remains difficult to apply for a great number of switching over the use of arbitrary switching law and which brings some conservativeness through the use of common parameters for all subsystems. The robust H ∞ filtering for uncertain discrete‐time SSTVD systems has been discussed in Reference , by using the restricted systems equivalent transformation.…”

Section: Introductionmentioning

confidence: 99%

H_∞ filtering of discrete‐time switched singular systems with time‐varying delays

Charqi

Chaibi

Tissir

2020

Adaptive Control & Signal

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Summary In this article, the analysis and design problems of H∞ filtering for a class of discrete‐time switched singular systems with time‐varying delay under an arbitrary switching signal are investigated. The main attention is focused on the design of a linear mode‐dependent filter guaranteeing the regularity, causality, and asymptotic stability of the resulting filtering error system with a prescribed H∞ performance bound. By using a multiple Lyapunov‐Krasovskii functional, and utilizing the linearization technique, novel sufficient conditions for the solvability of H∞ problem are derived in terms of linear matrix inequalities. Solving that, the desired filter gains can be determined. Any model transformation of system, which often leads the large computational burden is involved. The free weighting matrix technique is introduced to provide additional degree of freedom, which improves the conservativeness of the developed method. Finally, numerical examples are given to demonstrate the effectiveness and the merit of the proposed approach and to compare the obtained results with some previous works in the literature.

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“…A number of control issues have been successfully extended to singular systems and the related results have been reported, for instance, in [2][3][4][5][6][7][8] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Positive real control for discrete-time singular systems with affine parameter dependence

Feng

2015

Journal of the Franklin Institute

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Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays

Cited by 50 publications

References 38 publications

Robust finite‐time H _∞ control for uncertain discrete‐time singular systems with Markovian jumps

Robust finite‐time H _∞ control for uncertain discrete‐time singular systems with Markovian jumps

H_∞ filtering of discrete‐time switched singular systems with time‐varying delays

Positive real control for discrete-time singular systems with affine parameter dependence

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Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays

Cited by 50 publications

References 38 publications

Robust finite‐time H ∞ control for uncertain discrete‐time singular systems with Markovian jumps

Robust finite‐time H ∞ control for uncertain discrete‐time singular systems with Markovian jumps

H∞ filtering of discrete‐time switched singular systems with time‐varying delays

Positive real control for discrete-time singular systems with affine parameter dependence

Contact Info

Product

Resources

About

Robust finite‐time H _∞ control for uncertain discrete‐time singular systems with Markovian jumps

Robust finite‐time H _∞ control for uncertain discrete‐time singular systems with Markovian jumps

H_∞ filtering of discrete‐time switched singular systems with time‐varying delays