H∞ output-feedback control for switched linear discrete-time systems with time-varying delays

Authors: Zhang, L.¹; Shi, P.²; Boukas, E. -K.¹

Source: International Journal of Control, Volume 80, Number 8, August 2007 , pp. 1354-1365(12)

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Abstract:

In this paper, the problem of H∞ output feedback control for switched linear discrete-time systems with time delays is investigated. The time delay is assumed to be time-varying and bounded. By constructing a switched quadratic Lyapunov function for the underlying system, both static and dynamic H∞ output feedback controllers are designed respectively such that the corresponding closed-loop system under arbitrary switching signals is asymptotically stable and a prescribed H∞ noise-attenuation level bound is guaranteed. A cone complementary linearization algorithm is exploited to design the controllers. A numerical example is presented to show the effectiveness of the developed theoretical results.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170701377113

Affiliations: 1: Department of Mechanical Engineering, Ecole polytechnique de Montreal, Quebec, H3C 3A7, Canada 2: School of Technology, University of Glamorgan, Pontypridd CF37 1DL, UK

Publication date: 2007-08-01

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