Data-Driven Control Algorithms for Discrete-Time Periodic Systems

In this paper, the stabilization control for discrete-time periodic linear systems with unknown system and input matrices is investigated. To estimate the unique positive definite solutions of the discrete periodic algebraic riccati matrix equations (DPARE), a data-driven algorithm is presented. Based on the estimated solutions, a stabilization control law is designed for the discrete-time periodic linear systems. Further, the stability of the closed-loop system is analyzed. Finally, a numerical example is given to verify the effectiveness of the proposed algorithm and control law.