Stabilising slow-switching laws for switched discrete-time linear systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

12 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1843-1858
Journal / PublicationIET Control Theory and Applications
Volume5
Issue number16
Publication statusPublished - 3 Nov 2011

Abstract

For a class of switched discrete-time linear systems, a state-dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not be monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilising switching law being of lower switching frequency in contrast with recent results. An illustrative example is employed to show the effectiveness of the proposed switching law. Furthermore, it is shown that the proposed switching law ensures that a bounded perturbation implies bounded states, and a convergent perturbation implies convergent states. When the system state is not available, an observer-based state-dependent switching law with dwell time is also developed. © 2011 The Institution of Engineering and Technology.

Citation Format(s)

Stabilising slow-switching laws for switched discrete-time linear systems. / Wu, A. G.; Feng, G.; Duan, G. R. et al.
In: IET Control Theory and Applications, Vol. 5, No. 16, 03.11.2011, p. 1843-1858.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review