Asynchronous Data-Driven Control for Discrete-Time Switched Systems With Average Dwell Time

The asynchronous data-driven control problem is concerned for discrete-time switched systems with average dwell time. For a class of unknown switched systems, a data-driven approach is employed to parameterize the controller directly from the input-state data of the system, without relying on the precise mathematical model. Furthermore, a data-driven representation of the closed-loop system is proposed to cope with the asynchronous behavior between subsystems and controllers. Stability conditions in the form of linear matrix inequalities are established based on the Lyapunov theory and the average dwell time method, and then an asynchronous data-driven controller design is implemented. Finally, the feasibility and advantage of the proposed approach are verified through numerical examples.