Analysis and Control of Chaos in Permanent Magnet Synchronous Motor

In this paper, the chaotic behavior of permanent magnet synchronous motor is investigated by analyzing Lyapunov exponents and equilibrium points. Then, the control of the permanent magnet synchronous motor, which presents a chaotic behavior under certain parameters, was studied using a simple controller. The resolution method adopted is that of the single-state feedback controller. The resulting control law makes it possible to stabilize the state of the system around a reference state in the presence of uncertainties on the parameters and without the system exhibiting chaotic behavior. Numerical simulations were made in MATLAB to demonstrate the application of the proposed method.