Active Control of Approximate Finite-time Stability for Chaotic System of Permanent Magnet Synchronous Motor

Abstract

In this paper, the finite-time stable control problem for the chaotic system of permanent magnet synchronous motor is studied. An active control method with dynamic active compensation is proposed, which makes the closed-loop system achieve approximately finite-time stable control. And a new observer is designed to solve the uncertainty. The approximate finite-time stability of the closed-loop system is proved by introducing the singular perturbations theory. Simulation results show the correctness of the control method.