The time-optimal control of a class of nonlinear systems

Abstract

The time-optimal control of a class of nonlinear singularly perturbed systems possesses the two time-scale property that the optimal control is made of a control in a slow-time scale followed by a control in a fast time-scale. Based on this property a near time-optimal control is defined. Two examples illustrating the computation of the near-optimal control and a simple iterative technique are presented.