Robust decentralised H control of discrete-time Markov jump interconnected systems with bounded transition probabilities
by Chafea Haddad; Saïd Djennoune; Maamar Bettayeb
International Journal of Modelling, Identification and Control (IJMIC), Vol. 24, No. 4, 2015

Abstract: This paper deals with the problem of robust H control via decentralised state feedback for a class of uncertain interconnected discrete-time Markov jump systems subject to unknown transition probabilities. The uncertainties are assumed to satisfy the global Lipschitz conditions, and the random parameter is a Markov process. A sufficient condition is developed to design controllers via local system states and local operation modes that guarantee stochastic stabilisation of the closed-loop decentralised uncertain system under the bounded transition probabilities for all admissible uncertainties. The solution of this control problem is obtained following the linear matrix inequalities (LMIs) technique. A numerical simulation example is given to illustrate the main results developed in this paper.

Online publication date: Wed, 11-Nov-2015

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