H∞ performance for uncertain discrete switched systems with interval time-varying delay via switching signal design

In this paper, the H ∞ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and discrete Wirtinger inequality are used in our approach to improve the conservativeness of the past research results. Less LMI variables and shorter program running time are provided than our past proposed results. Finally, two numerical examples are given to show the improvement of the developed results.

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“…Number of LMI variable elements [16,18] τ = 15, fail to guarantee the H ∞ performance by switching signal design - [19] …”

Section: Resultsmentioning

confidence: 99%

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

Lien

Chang

2017

Adv Differ Equ

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“…Lemma .Suppose that Δ i ( k ) is defined in and satisfying , then for real matrices U i , W i , and X i with

X_{i} = X_{i}^{T}

, the following statements are equivalent: The inequality is satisfied

X_{i} + U_{i} Δ_{i} false(k false) W_{i} + W_{i}^{T} {normalΔ}_{i}^{T} false(k false) U_{i}^{T} < 0

, There exists a scalar ε i > 0, such that

(\begin{matrix} X_{i} & U_{i} & ε_{i} W_{i}^{T} \\ * & - ε_{i} I & ε_{i} Ξ_{i}^{T} \\ * & * & - ε_{i} I \end{matrix}) < 0,

where the matrix Ξ i is defined in . …”

Section: Preliminariesmentioning

confidence: 99%

“…Lemma 3. 25 .Suppose that Δ i (k) is defined in (2) and satisfying (3), then for real matrices U i , W i , and X i with X i = X T i , the following statements are equivalent:…”

Section: Lemma 2 (Schur Complement) For a Given Matrix Smentioning

confidence: 99%

Robust stability and H_∞ control for nonlinear discrete‐time switched systems with interval time‐varying delay

Dong

Liang

Wang

2019

Math Methods in App Sciences

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This paper considers the problems of the robust stability analysis and H∞ controller synthesis for uncertain discrete‐time switched systems with interval time‐varying delay and nonlinear disturbances. Based on the system transformation and by introducing a switched Lyapunov‐Krasovskii functional, the novel sufficient conditions, which guarantee that the uncertain discrete‐time switched system is robust asymptotically stable are obtained in terms of linear matrix inequalities. Then, the robust H∞ control synthesis via switched state feedback is studied for a class of discrete‐time switched systems with uncertainties and nonlinear disturbances. We designed a switched state feedback controller to stabilize asymptotically discrete‐time switched systems with interval time‐varying delay and H∞ disturbance attenuation level based on matrix inequality conditions. Examples are provided to illustrate the advantage and effectiveness of the proposed method.

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“…In , a mixed time‐driven and state‐dependent switching signal design was proposed for stability and switching control of switched linear systems. In , H ∞ performance for discrete switched time‐delay system was investigated by switching signal design. In , robust H ∞ control for switched nonlinear systems with multiple delays were considered using the average dwell time approach.…”

Section: Introductionmentioning

confidence: 99%

Robust Mixed Performance of Continuous Switched Systems with Time Delay

Lien

Chang

2018

Asian Journal of Control

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In this paper, the robust mixed H2/H∞ performance analysis of switched time‐delay systems with linear fractional perturbations and distributed delay via a switching signal selection is considered. Some delay‐dependent LMI‐based criteria are proposed to achieve the design of the switching signal. Our approach is guaranteed by the new proposed inequality in recent years. Finally, some numerical examples are illustrated to show the main results.

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H∞ performance for uncertain discrete switched systems with interval time-varying delay via switching signal design

Cited by 21 publications

References 7 publications

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

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

Robust stability and H_∞ control for nonlinear discrete‐time switched systems with interval time‐varying delay

Robust Mixed Performance of Continuous Switched Systems with Time Delay

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H∞ performance for uncertain discrete switched systems with interval time-varying delay via switching signal design

Cited by 21 publications

References 7 publications

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

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

Robust stability and H∞ control for nonlinear discrete‐time switched systems with interval time‐varying delay

Robust Mixed Performance of Continuous Switched Systems with Time Delay

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Robust stability and H_∞ control for nonlinear discrete‐time switched systems with interval time‐varying delay