Title: Robust decentralised H∞ control of discrete-time Markov jump interconnected systems with bounded transition probabilities
Authors: Chafea Haddad; Saïd Djennoune; Maamar Bettayeb
Addresses: Laboratoire de Conception et Conduite des Systèmes de Production, University Mouloud Mammeri of Tizi-Ouzou, Algeria ' Laboratoire de Conception et Conduite des Systèmes de Production, University Mouloud Mammeri of Tizi-Ouzou, Algeria ' Department of Electrical and Computer Engineering, University of Sharjah, United Arab Emirates; Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Jeddah, Saudi Arabia
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.
Keywords: Markov jump systems; robust cotrol; decentralised control; H-infinity control; state feedback; discrete time systems; random abrupt changes; bounded transition probabilities; linear matrix inequalities; LMIs; uncertainty; controller design; numerical simulation.
International Journal of Modelling, Identification and Control, 2015 Vol.24 No.4, pp.267 - 280
Available online: 11 Nov 2015 *Full-text access for editors Access for subscribers Purchase this article Comment on this article