Average dwell-time method to L2-gain analysis and control synthesis for uncertain switched nonlinear systems

Min Wang*, Georgi M. Dimirovski, Jun Zhao

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    3 Citations (Scopus)

    Abstract

    This paper addresses the L2-gain analysis and control synthesis problem for a class of switched nonlinear systems affected by both time-varying uncertainties and external disturbances. Firstly, the L2-gain for the autonomous switched disturbed uncertain system is analyzed. Then, a switched state feedback control law is designed and the L2 -gain is analyzed for the disturbed uncertain non-autonomous switched system. Sufficient conditions for these two cases are obtained using average dwell-time method incorporated with piecewise Lyapunov functions. The corresponding closed-loop disturbed uncertain switched system and the disturbed uncertain autonomous switched system are globally exponentially stable with a weighted L 2-gain under the sufficient conditions. Both the piecewise Lyapunov functions and the average dwell-time based switching laws are constructed based on the structural characteristics of the uncertain switched system.

    Original languageEnglish
    Title of host publication2008 American Control Conference, ACC
    Pages5074-5079
    Number of pages6
    DOIs
    Publication statusPublished - 2008
    Event2008 American Control Conference, ACC - Seattle, WA, United States
    Duration: 11 Jun 200813 Jun 2008

    Publication series

    NameProceedings of the American Control Conference
    ISSN (Print)0743-1619

    Conference

    Conference2008 American Control Conference, ACC
    Country/TerritoryUnited States
    CitySeattle, WA
    Period11/06/0813/06/08

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