A switching-based state-scaling design for prescribed-time stabilization of nonholonomic systems with actuator dead-zones

Abstract

Abstract Nonholonomic constraint is widespread in many aerospace applications such as space robots, artificial satellites, aircrafts etc. In this paper, the problem of global prescribed-time stabilization is addressed for a category of uncertain nonholonomic constraint systems (namely, nonholonomic systems for short) with actuator dead-zones. To deal with the obstacle that the presence of input dead-zone nonlinearities renders the traditional discontinuous feedback control technique inapplicable to nonholonomic systems, a novel switching-based state-scaling transformation (switching-based-SST) is introduced. This transformation can change the original predefined-time stabilization into the asymptotic stabilization of the transformed one. Under such new framework, a state feedback controller that achieves the prescribed-time convergence performance is developed by using the recursive idea. Finally, a practical application to a unicycle-type mobile robot is presented to confirm the validity of the proposed method.