H
                            ∞
                        
                    
                
                ${H} _{ {\infty}} $
             analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

Yu, Ker‐Wei; Lien, Chang‐Hua; Chang, Hao‐Chin

doi:10.1186/s13662-017-1405-x

Cited by 3 publications

(1 citation statement)

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“…It is also well known that many complicated nonlinear dynamical system behaviors, such as multiple limit cycles and chaos, may be caused by switching among subsystems [8,9]. Hence, the stability and performance of switched systems have been investigated in recent years [10][11][12][13][14][15]. It is also interesting to note that the stability of a switched system can be guaranteed by selecting an appropriate switching signal, even when each subsystem is unstable [13,14].…”

Section: Introductionmentioning

confidence: 99%

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Lien

Chang

et al. 2021

Mathematics

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In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a switched system. Then, the proposed improved results are used to guarantee the stability and reachable set of the uncertain system with slow variation interval time-varying delay. The mixed performance (H2/H∞) can be derived in the same formulation simultaneously. The design scheme of robust switched control is also developed in this paper. The gains of the controller can be designed and switched to achieve stabilization and mixed performance of the system according to the delay value. Some comparisons with published results are made to show the main contribution of the proposed approach. Finally, some numerical examples are illustrated to show the main results.

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Section: Introductionmentioning

confidence: 99%

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Lien

Chang

et al. 2021

Mathematics

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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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Robust control of discrete-time switched delayed singular systems with faults

Saidi

Tissir

Charqi

et al. 2023

Int. J. Dynam. Control

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H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

Cited by 3 publications

References 28 publications

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

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

Robust control of discrete-time switched delayed singular systems with faults

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H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

Cited by 3 publications

References 28 publications

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

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

Robust control of discrete-time switched delayed singular systems with faults

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