Robust H-infinity control for uncertain discrete-time Markovian jump systems with actuator saturation

• DOI: 10.1007/s11768-011-9102-x
• Publication Date: 2011-11-23T04:14:35Z
• Authors: Ting Shi; Hongye Su; Jian Chu
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

The design of robust H-infinity controller for uncertain discrete-time Markovian jump systems with actuator saturation is addressed in this paper. The parameter uncertainties are assumed to be norm-bounded. Linear matrix inequality (LMI) conditions are proposed to design a set of controllers in order to satisfy the closed-loop local stability and closed-loop H-infinity performance. Using an LMI approach, a set of state feedback gains is constructed such that the set of admissible initial conditions is enlarged and formulated through solving an optimization problem. A numerical example is given to illustrate the effectiveness of the proposed methods.