Output Feedback Stabilization and Disturbance Attenuation of Time-Delay Systems with Markovian Jump Parameters

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Mahmoud, Magdi S, Ismail, Abdulla and Shi, Peng (2004) Output Feedback Stabilization and Disturbance Attenuation of Time-Delay Systems with Markovian Jump Parameters. Control and Intelligent Systems, 32 (3). pp. 193-206. ISSN 1480-1752

Abstract

This article investigates the problems of stochastic stabilization and control for a class of linear time-delay systems with Markovian jump parameters via output feedback. The jumping parameters are modelled as continuous-time, discrete-state Markov process. The delay factor is unknown and time-varying with a known bound. Concepts of weak and strong delay-dependent stochastic stability are introduced, and appropriate criteria applied to the jumping systems are developed. The control objective is to design an output-feedback controller such that stochastic stability and a prescribed H∞-like performance for a closed-loop system are guaranteed. We establish that the stability and stabilization problems for the time-delay Markovian jump systems can be essentially solved in terms of the solutions of a finite set of coupled linear matrix inequalities (LMIs). We show that in the case of weak delay-dependence, the controller is of arbitrary order and the associated gain matrices are computed implicitly. In the case of strong–weak coupling the controller is of full-order and explicit expressions are given for the associated gain matrices.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/2625
DOI https://doi.org/10.2316/Journal.201.2004.3.201-1195
Official URL http://dx.doi.org/10.2316/Journal.201.2004.3.201-1...
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords ResPubID18895, disturbance attenuation, Markovian jump parameters, output-feedback, stochastic stability, time-delay systems
Citations in Scopus 5 - View on Scopus
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