Robust adaptive dynamic surface control of chaos in permanent magnet synchronous motor

With system parameters falling into a certain area, the permanent magnet synchronous motor (PMSM) is experiencing chaotic behavior which threatens the secure and stable operation of drive system. To control the undesirable chaos in PMSM, an adaptive dynamic surface control (DSC) law is first designed, which overcomes the problem of “explosion of terms” associated with the traditional backstepping design procedure by introducing first-order low-pass filters. And then, based on Lyapunov asymptotical stability theory, stability of the closed-loop controlled system is analyzed. Simulation results show that the presented control law is very effective and robust against the uncertainties in system parameters. The research of this Letter may help to maintain the industrial drive system's security operation.