Inverse System Control for Chaos of Salient Permanent Magnet Synchronous Motors

An inverse control method for the chaos motion of the salient permanent magnet synchronous motors (PMSM) is proposed. Firstly, the model of PMSM in the rotor-field-oriented frame is transformed into the non-dimensional form via the multiple-time-scale transformation. Then, the chaos behaviors of the salient PMSM are analyzed by using phase portraits and bifurcation diagrams. On the basis of the invertibility analysis of the salient PMSM chaos system, the inverse system is implemented by means of state feedback. The inverse system is connected with the original system of the salient PMSM in series to form the pseudo linear composite system. Consequently, the close-loop controller can be designed by using linear synthesis method to realize the asymptotic tracking to the input reference. Numerical simulation results show the effectiveness of the proposed method.