Stabilization of Linear Switched Delay Systems: H2 and H-infinity methods

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Mahmoud, Magdi S, Shi, Peng and Saif, A. W. A (2009) Stabilization of Linear Switched Delay Systems: H2 and H-infinity methods. Journal of Optimization Theory and Applications, 142 (3). pp. 583-601. ISSN 0022-3239

Abstract

This paper presents new results pertaining to the delay-dependent stability and control synthesis of a class of linear switched continuous-time systems with time-varying delays. A new state transformation is introduced to exhibit the delay-dependent dynamics in the slow-time scale. For stability, we construct an appropriate selective Lyapunov functional to derive delay-dependent LMI-based sufficient conditions under arbitrary switching and without relying to overbounding. For the control synthesis, we design switched feedback schemes based on quadratic H2, H∞ and simultaneous H2/H∞ performance criteria. Under the developed transformation, it is established that both the instantaneous and delayed feedback control yield identical results. Numerical examples are presented to illustrate the analytical development.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/4441
DOI	10.1007/s10957-009-9527-2
Official URL	http://dx.doi.org/10.1007/s10957-009-9527-2
Subjects	Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords	ResPubID17497, switched time-delay systems, delay-dependent stability, switched Lyapunov functional, switched state-feedback, LMIs, simultaneous H2/H∞ synthesis
Citations in Scopus	34 - View on Scopus
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