Robust Stability and Stabilization of Switched Systems with Dwell Time

Eli Gershon; Uri Shaked

doi:10.1007/978-3-030-16008-1_2

Robust Stability and Stabilization of Switched Systems with Dwell Time

Eli Gershon^*, Uri Shaked

^*Corresponding author for this work

School of Electrical Engineering

Holon Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

Sufficient conditions for the stability of linear-switched systems with dwell-time and polytopic-type parameter uncertainties are presented. A Lyapunov function, in quadratic form, which is nonincreasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs and it becomes time invariant afterward. This function leads to asymptotic stability conditions for the nominal set of the subsystems that can be readily extended to the case where these subsystems suffer from polytopic-type parameter uncertainties. The method proposed is then applied to stabilization via state feedback, both for the nominal and the uncertain cases.

Original language	English
Title of host publication	Lecture Notes in Control and Information Sciences
Publisher	Springer Verlag
Pages	13-25
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-030-16008-1_2
State	Published - 2019

Publication series

Name	Lecture Notes in Control and Information Sciences
Volume	481
ISSN (Print)	0170-8643
ISSN (Electronic)	1610-7411

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10.1007/978-3-030-16008-1_2

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Robust Stability and Stabilization of Switched Systems with Dwell Time

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