Sampled-Data Control of Switched Affine Systems With Applications to DC–DC Converters

This study addresses the sampled-data control issue for a class of continuous-time switched affine systems (SASs). Specifically, this research aims to relax the constraints on the number of equilibrium points to better characterize the convergence region of continuous-time SASs under the framework of the nonuniform sampling. A sampled-data switching signal is designed to drive the system state toward a union of convergence regions encompassing the shifted points. The shifted points refer to specific points in the state space toward which the system's trajectory is directed or guided. By introducing a switching multishifted-point-dependent Lyapunov function, sufficient conditions are derived for the practical stability of the presented SASs. Moreover, the number of shifted points is determined by the designer, whose value is calculable by resolving the derived stability conditions. Finally, the effectiveness and advancement of the proposed approach are illustrated via a dc–dc buck–boost converter.