A Novel Matrix Approach to Static Output Feedback Stabilization of Discrete Event Dynamic Systems

In this paper, the static output feedback stabilization of discrete event dynamic systems (DESs) via the semi-tensor product (STP) of matrices is investigated. Firstly, the dynamics of discrete event dynamical systems modelled by deterministic Moore-type finite automata are converted into an matrix expression in the STP frame. Secondly, necessary and sufficient condition for the existence of a static output feedback control pattern, stabilizing the controlled discrete event dynamical systems to some equilibrium point, is given, and constructive algorithm to seek the static output feedback control pattern is proposed. Finally, a example is presented to illustrate the effectiveness of the proposed approach.