Semi-Tensor Product Based Control of Discrete-Time Switched Systems

This paper studies the modelling and control problem of discrete-time switched systems via the semi-tensor product (STP) of matrices. First of all, with the aid of logic dynamical generator constructed for the switching signal, a new model that combines the logical dynamics and discrete-time switched systems with the state feedback controller is established. Next, necessary and sufficient conditions are proposed for the resultant closed-loop systems based on STP. Finally, an example is given to demonstrate the effectiveness of the proposed result.