Direct data-driven control of discrete-time switched systems with input saturation

In this paper, the problem of direct data-driven control is studied for a class of discrete-time switched systems with input saturation. For unknown switched systems, a data-driven approach is adopted to parameterize the controller directly from the input-state data of the system, which does not depend on the exact mathematical model. In addition, the input saturation problem is addressed by using the polyhedral convex hull method, and the data representation is given for the closed-loop system. By using Lyapunov theory and dwell time method, the exponential stability conditions of linear matrix inequalities (LMIs) form are obtained, and the desired attractive domain is estimated. Moreover, considering the data polluted by process noise, a robust data-driven state feedback controller is designed and the performance of $ \mathcal{L}_{2} $ gain is guaranteed. Finally, the advantage of the proposed data-driven based control method is verified by two numerical examples.