State transformation for H∞ control of uncertain jumping delayed systems

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Mahmoud, Magdi S, Ismail, Abdulla, Shi, Peng and Agarwal, R. P (2004) State transformation for H∞ control of uncertain jumping delayed systems. IMA Journal of Mathematical Control and Information, 21 (4). pp. 419-431. ISSN 0265-0754

Abstract

A new state transformation exhibiting the delay-dependent behaviour for a class of uncertain delayed systems with Markovian jump parameters is developed to solve the problem of H∞ control. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, timevarying and norm-bounded that appear in the state, input and delayed-state matrices. The input and state delays are known. Complete results for instantaneous state feedback control designs are established which guarantee the strong-delay dependent stochastic stability with a prescribed H∞-performance. The solutions are provided in terms of a finite set of coupled linear matrix inequalities. A numerical example is given to show the potential of the proposed techniques.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/2627
DOI	10.1093/imamci/21.4.419
Official URL	http://imamci.oxfordjournals.org/content/21/4/419....
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Keywords	ResPubID18903, time-delay systems, Markovian jump parameters, H∞ state feedback, stochastic stability, uncertain parameters
Citations in Scopus	2 - View on Scopus
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