Finite-Time Static Output-Feedback <i>H</i>_∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme

Abstract

The problem of finite-time static output feedback H∞ control for a class of discrete-time singular Markov jump systems is studied in this paper. With the consideration of network transmission delay and event-triggered schemes, a closed-loop model of a discrete-time singular Markov jump system is established under the static output feedback control law, and the corresponding sufficient condition is given to guarantee this system will be regular, causal, finite-time bounded and satisfy the given H∞ performance. Based on the matrix decomposition algorithm, the output feedback controller can be reduced to a feasible solution of a set of strict matrix inequalities. A numerical example is presented to show the effectiveness of the presented method.

Keywords

• discrete-time Markov jump system
• event-triggered scheme
• finite-time stability
• static output feedback