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

Ahmet Taha Koru, Akin Delibasi, Hitay Ozbay

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

4 Citations (Scopus)

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.

Original languageEnglish
Title of host publication53rd IEEE Conference on Decision and Control
PublisherIEEE
Pages1978-1982
Number of pages5
ISBN (Electronic)978-1-4673-6090-6
ISBN (Print)978-1-4799-7746-8
DOIs
Publication statusPublished - 12 Feb 2015
Externally publishedYes
Event 53rd IEEE Annual Conference on Decision and Control - Los Angeles, United States
Duration: 15 Dec 201417 Dec 2014

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546

Conference

Conference 53rd IEEE Annual Conference on Decision and Control
Abbreviated titleCDC 2014
CountryUnited States
CityLos Angeles
Period15/12/1417/12/14

Keywords

  • dwell time optimization
  • free weighting matrices method
  • switched systems
  • Time delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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