Robust Stabilization of Switched Uncertain Systems with Input Quantization Under Asynchronous Switching

Wang, Xiaomei; Zhao, Jun

doi:10.1007/s00034-022-02018-2

Cited by 1 publication

(3 citation statements)

References 32 publications

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“…Step 1: Find Âc,i , Bc,i , Ĉc,i , Dc,i , X i , Y i and Z i such that (20) and ( 21). Step 2: Obtain M i and N i from the relation that…”

Section: B Robust Switching Reset Controller Designmentioning

confidence: 99%

“…Thus, we obtain (20) and Pi > 0 for all i ∈ Σ. We multiply (6) to the right by a matrix diag{T 1,j , T 1,i , I}, to the left by its transpose.…”

Section: Appendixmentioning

confidence: 99%

“…Considering uncertainties, in [19], an adaptive control approach was proposed for switched uncertain nonlinear systems. [20] proposed a linear matrix inequality (LMI)-based state-feedback controller synthesis for switched uncertain systems under asynchronous switching.…”

Section: Introductionmentioning

confidence: 99%

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Robust Reset Controller Design for Switched Nonlinear Uncertain Systems

Jeong

Ban

2022

IEEE Access

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This paper presents a design of a robust switching reset controller for a class of nonlinear uncertain switched systems. We consider the norm-bounded time-varying parameter uncertainties in switched nonlinear systems obeyed by the average dwell-time switching signal. The proposed switching reset controller uses the measured output in resetting the controller's states, whereas the previous studies did not. A weighted mixed L 2 /l 2 -gain is introduced to take into account the discrete disturbances induced by the measured output when resetting the controller's states. The proposed reset controller and switched nonlinear uncertain plant form a closed-loop system that is a class of nonlinear impulsive switched uncertain systems. Hence, we first provide sufficient conditions for the L 2 stability of the nonlinear impulsive switched uncertain systems. Based on the conditions, we propose linear matrix inequality (LMI)based design conditions to choose the dynamic output feedback control and output feedback reset laws guaranteeing the weighted mixed L 2 /l 2 -gain performance of the controlled systems with continuous and discrete disturbances. Numerical examples demonstrate the effectiveness of the proposed method.INDEX TERMS Impulsive switched systems, L 2 -stability, linear matrix inequality, nonlinear uncertain systems, reset control systems.

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“…Step 1: Find Âc,i , Bc,i , Ĉc,i , Dc,i , X i , Y i and Z i such that (20) and ( 21). Step 2: Obtain M i and N i from the relation that…”

Section: B Robust Switching Reset Controller Designmentioning

confidence: 99%

“…Thus, we obtain (20) and Pi > 0 for all i ∈ Σ. We multiply (6) to the right by a matrix diag{T 1,j , T 1,i , I}, to the left by its transpose.…”

Section: Appendixmentioning

confidence: 99%