On dwell time minimization for switched delay systems: free-weighting matrices method

Date
2014
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Source Title
Proceedings of the 53rd IEEE Conference on Decision and Control, IEEE 2014
Print ISSN
0743-1546
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Publisher
IEEE
Volume
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Pages
1978 - 1982
Language
English
Type
Conference Paper
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Abstract

In this paper, we present a quasi-convex minimization method to calculate an upper bound of dwell-time for stability of switched delay systems. Piecewise Lyapunov-Krasovskii functionals are introduced and the upper bound for the derivative of Lyapunov functionals are estimated by free weighting matrices method to investigate non-switching stability of each candidate subsystems. Then, a sufficient condition for dwell-time is derived to guarantee the asymptotic stability of the switched delay system. Once these conditions are represented by a set of linear matrix inequalities (LMIs), dwell time optimization problem can be formulated as a standard quasi-convex optimization problem. Numerical examples are given to illustrate improvements over previously obtained dwell-time bounds.

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Keywords
Dwell time optimization, Free weighting matrices method, Switched systems, Time delay systems
Citation
Published Version (Please cite this version)