Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings

Ruicheng Ma, Jun Zhao*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    450 Citations (Scopus)

    Abstract

    This paper is concerned with the global stabilization problem for switched nonlinear systems in lower triangular form under arbitrary switchings. Two classes of state feedback controllers and a common Lyapunov function (CLF) are simultaneously constructed by backstepping. The first class uses the common state feedback controller which is independent of switching signals; the other class utilizes individual state feedback controllers for the subsystems. As an extension of the designed method, the global stabilization problem under arbitrary switchings for switched nonlinear systems in nested lower triangular form is also studied. An example is given to show the effectiveness of the proposed method.

    Original languageEnglish
    Pages (from-to)1819-1823
    Number of pages5
    JournalAutomatica
    Volume46
    Issue number11
    DOIs
    Publication statusPublished - Nov 2010

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