Optimal Control of Sampled-Data Piecewise Affine Systems

Abstract

This paper discusses the finite-time optimal control problem of a class of piecewise affine (PWA) systems, where the switching action of the discrete state is determined at each sampling time according to a condition on the continuous state. An issue in the control design of the continuous-time PWA system is pointed out to motivate the use of such PWA systems, and then an optimal continuous-time controller is proposed.