Adaptive backstepping control of permanent magnet synchronous motor chaotic system

作者：Chen Ning^*; Xiong Siqi; Liu Bo; Gui Weihua

来源：Journal of Central South University(Science and Technology), 2014, 45(1): 99-104.

• Adaptive back-stepping
• Adaptive backstepping control
• Adaptive control law
• Adaptive laws
• Asymptotically stable
• Lyapunov stability theorem
• Permanent Magnet Synchronous Motor
• Uncertain parameters

A new type of adaptive backstepping controller was designed for the permanent magnet synchronous motor chaotic model with uncertain parameters when the system was in a chaotic state, allowing the system to recover from the chaos, keep asymptotic tracking of the desired speed and be stable. First, for a given expected speed and a direct axis current, error system was constructed. The controller of each subsystem was designed by backstepping method. The Lyapunov function and virtual control quantity was structured to obtain the expected quadrature axis current which made PMSM system asymptotically stable in each subsystem. Then, when load torque was unknown and permanent magnet flux changed in the PMSM chaos system, the load torque, and permanent magnet flux adaptive control law were designed by Lyapunov stability theorem. Next, the adaptive controller of unknown PMSM system was obtained to realize the asymptotic tracking of the speed reference and keep the uniform convergent to unknown parameters. Numerical simulation results show that the adaptive controller is valid. The controlled system can quickly track the desired speed and keep it stable, and estimation of unknown parameter has achieved the practical value.

• 出版日期2014
• 单位中南大学