Control for discrete singular hybrid systems

• DOI: 10.1016/j.automatica.2008.02.027
• Publication Date: 2008-09-20T08:20:54Z
• Authors: Yuanqing Xia; Jinhui Zhang; El-Kebir Boukas
• Keywords: 0209 industrial biotechnology; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

The problems of stability, state feedback control and static output feedback control for a class of discrete-time singular hybrid systems are investigated in this paper. A new sufficient and necessary condition for a class of discrete-time singular hybrid systems to be regular, causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict LMIs, respectively. Finally, two illustrative examples are provided to demonstrate the applicability of the proposed approach.