On a class of nonlinear optimal synchronization and tracking control problems

Abstract

In this paper, we consider a new class of nonlinear optimal tracking and synchronization control problems subject to control constraints, where the motions of two distinct objects are required to achieve synchronization at the minimum time while achieving the optimal tracking of a reference target. A computational method is developed for constructing such an optimal switching control law. The method proposed is then used to solve a practical problem, which arises from the study of the angular velocity tracking and synchronization of two spacecrafts during their formation flight. The results obtained are highly satisfactory.