Exponential stability of linear distributed parameter switched systems with time-delay

Bao, Lianwei; Fei, Shumin; Yu, Lei

doi:10.1007/s11424-014-3070-4

Cited by 24 publications

(12 citation statements)

References 21 publications

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“…Remark 2: In Part C of the appendix, the strict proof of Theorem 3 is shown. It is also the necessary condition proven in [1,15]. The introduction of the auxiliary slack matrix i G can couple the product term between j P and ( )…”

Section: Assumptionmentioning

confidence: 97%

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Robust Fault Diagnosis for Discrete-Time Switched System with Unknown State Delays Subject to Component Faults

Zhang

2019

ITC

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This paper investigates the problems of fault detection and diagnosis in a class of discrete-time switched systems with unknown state delay against component faults. The component fault, also called the multiplicative fault or loss of actuator effectiveness, is a common type of operation fault for switched systems, which has been paid more attention. In this paper, the learning observers (LOs) technology are proposed to reconstruct both the system state and component faults. The proposed LOs technique is also extended to the system with unknown time delay and external disturbance. The sufficient conditions for the convergence of the output of LOs and the uniformly ultimately boundedness of the reconstructed errors are proved by the switched Lyapunov function and H ∞ technique. The proposed fault reconstruction strategy has certain tolerance for fault types, which is effective for both slow and fast time-varying faults by adjusting the iteration step size. In the simulation parts, three kinds of fault signals are taken into consideration to verify the effectiveness and robustness of the proposed method.

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Section: Assumptionmentioning

confidence: 97%

“…ˆk F represents the reconstructed fault of loss of actuator effectiveness updated by both its previous information at the sampling step k τ − and current output error.τ is the updating interval. 1 K is a diagonal matrix, that is,…”

Section: Design Of Learning Observersmentioning

confidence: 99%

Robust Fault Diagnosis for Discrete-Time Switched System with Unknown State Delays Subject to Component Faults

Zhang

2019

ITC

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“…Based on these two approaches, a variety of stability criteria has been developed (see e.g. [1,[3][4][5]16,18,20] and references therein). These criteria are often formulated as linear matrix inequalities (LMIs) which yield sufficient conditions for stability.…”

Section: Introductionmentioning

confidence: 99%

“…Section 2 is devoted to the problem framework. Namely, we discuss the wellposedness and the switched system representation of sys-tem (1). The statement of the main result (Theorem 2) is presented in Section 3.…”

Section: Introductionmentioning

confidence: 99%

Converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations

2015

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In this article we give a collection of converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations. We show that the existence of a weakly-degenerate Lyapunov-Krasovskii functional is a necessary and sufficient condition for the global exponential stability of linear retarded functional differential equations. This is carried out using a switched system representation approach.

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“…So it is particularly sensitive to time delays and can be easily destabilized. Therefore, the stability and stabilization of the NTSTD has recently attracted the attention of a number of researchers [6][7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Robust H -infinity control for a class of neutral-type systems via sliding mode observer

Liu

Gao

Kao

2015

Applied Mathematics and Computation

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Exponential stability of linear distributed parameter switched systems with time-delay

Cited by 24 publications

References 21 publications

Robust Fault Diagnosis for Discrete-Time Switched System with Unknown State Delays Subject to Component Faults

Robust Fault Diagnosis for Discrete-Time Switched System with Unknown State Delays Subject to Component Faults

Converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations

Robust H -infinity control for a class of neutral-type systems via sliding mode observer

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