Nonlinear state feedback control of chaos system of brushless DC motor

Abstract The brushless DC motor (BLDCM) will be suffered the impact of chaos at the certain conditions. Therefore, This paper proposes a nonlinear state control method to suppress and control the emergence of chaotic motion based on the Lyapunov stability theory. Firstly, We analyze the dynamic characteristics of the state equation of BLDCM system, and prove that it will appear chaos phenomenon at some certain parameters. Finally, the nonlinear feedback controller is designed based on the Lyapunov stability theory, and is proved that the control method can make the system asymptotically stable to the equilibrium point. And further, simulation results are given to verify that the proposed method can be successfully used to control a chaotic BLDCM and make BLDCM stable quickly.