永磁同步电机混沌运动反步动态面控制

Backstepping Dynamic Surface Control of Chaotic Motion of Permanent Magnet Synchronous Motor

针对永磁同步电机运动系统的混沌控制问题,提出一种反步动态面控制设计方法。首先,针对误差面子系统采用反步设计方法递归设计虚拟控制律和实际控制律,保证各子系统稳定;其次,使用动态面控制技术对虚拟控制信号进行滤波处理,解决控制设计复杂和控制结构循环依赖问题;最后,对闭环控制系统的结构进行分析,给出所有信号半全局一致最终有界的结果。此外,利用数值仿真技术对所提控制设计方法的有效性进行了模拟验证。

Aiming at the chaos control problem of permanent magnet synchronous motor motion system, a backstepping dynamic surface control design method is proposed. Firstly, for the error surface subsystem, a recursive design with the backstepping method is used to design virtual control laws and an actual control law to ensure the stability of each subsystem;secondly, a dynamic surface control technology is used to filter the virtual control signals to solve the problems of complex control design and circular dependence of control structure;finally, the structure of the closed-loop control system is analyzed, and the semi global uniform final boundedness of all signals is given. In addition, the effectiveness of the proposed control design method is verified by numerical simulation.