Chaos control of the permanent magnet synchronous motor using an improved sliding mode controller

Permanent magnet synchronous motors (PMSMs) have chaotic phenomena under specific operating state due to the uncertainty of their parameters. The chaotic phenomena result in the great degradation of performance of PMSMs. This paper presents the chaos control of a PMSM for eliminating the chaotic phenomena using an improved sliding mode controller. Based on the mathematical model of the PMSM, a Lorenz chaotic model of the PMSM is deduced by affine transformation and time-scale transform. With the Lorenz chaotic model, the chaotic phenomena of the PMSM are discussed under the specific parameters based on MATLAB. By the saturation function applying to the closer-rate, the improved sliding mode controller is developed to control the chaotic phenomena of the PMSM. Simulation of the PMSM with the chaos control is performed based on MATLAB. Simulation results show that the chaos control of the PMSM using the improved sliding mode controller is valid for erasing the chaotic phenomena.