Inverse optimal control of switched discrete non linear systems based on Control Lyapunov Function and Genetic Algorithm

Abstract

Our work focuses mainly on the optimal control issues for switched nonlinear systems. In fact, we are interested, especially, in studying some cases in which we obtain a pre-specified string of active subsystems. Besides, we suggest Genetic Algorithm approach in order to obtain the optimal switching instants. We intend mainly to reduce the cost function according to the previously-mentioned instants.