Robust stability and stabilization of linear switched systems with dwell time

Liron I. Allerhand; Uri Shaked

doi:10.1109/SYSTOL.2010.5676001

Robust stability and stabilization of linear switched systems with dwell time

Liron I. Allerhand, Uri Shaked

School of Electrical Engineering

Tel Aviv University

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

1 Scopus citations

Abstract

Sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, which is non-increasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs. It becomes time invariant afterwards. This function leads to asymptotic stability conditions for the nominal set of 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	Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts
Pages	155-160
Number of pages	6
DOIs	https://doi.org/10.1109/SYSTOL.2010.5676001
State	Published - 2010
Event	1st Conference on Control and Fault-Tolerant Systems, SysTol'10 - Nice, France Duration: 6 Oct 2010 → 8 Oct 2010

Publication series

Name	Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts

Conference

Conference	1st Conference on Control and Fault-Tolerant Systems, SysTol'10
Country/Territory	France
City	Nice
Period	6/10/10 → 8/10/10

Keywords

Dwell time
Linear switched systems
Poly-topic uncertainties

Access to Document

10.1109/SYSTOL.2010.5676001

Cite this

Allerhand, L. I., & Shaked, U. (2010). Robust stability and stabilization of linear switched systems with dwell time. In Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts (pp. 155-160). Article 5676001 (Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts). https://doi.org/10.1109/SYSTOL.2010.5676001

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abstract = "Sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, which is non-increasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs. It becomes time invariant afterwards. This function leads to asymptotic stability conditions for the nominal set of 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.",

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author = "Allerhand, {Liron I.} and Uri Shaked",

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Allerhand, LI & Shaked, U 2010, Robust stability and stabilization of linear switched systems with dwell time. in Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts., 5676001, Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts, pp. 155-160, 1st Conference on Control and Fault-Tolerant Systems, SysTol'10, Nice, France, 6/10/10. https://doi.org/10.1109/SYSTOL.2010.5676001

Robust stability and stabilization of linear switched systems with dwell time. / Allerhand, Liron I.; Shaked, Uri.
Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts. 2010. p. 155-160 5676001 (Conference on Control and Fault-Tolerant Systems, SysTol'10 - Final Program and Book of Abstracts).

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

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Robust stability and stabilization of linear switched systems with dwell time

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Keywords

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