Stablization and tracking control of chaos in a permanent magnet synchronous motor model

In this paper, the problem of controlling chaos in a permanent magnet synchronous motor (PMSM) is addressed. First, the chaotic dynamics of a PMSM model are presented where the bifurcation diagram and the largest Lyapunov exponent techniques are used to explore chaos. Then, novel and efficient control laws based on the general input-state linearization control technique are proposed for stabilization and tracking control of the chaotic PMSM model. The proposed control laws use the direct- and quadrature-axis stator voltage components as controlled variables; therefore, they are convenient to implement in real applications. Numerical simulations are performed to demonstrate and verify the effectiveness of the proposed control methods.