永磁直线同步电机的混合鲁棒最优-H_∞控制

Mixed Robust Optimal-H_∞ Control of the Permanent Magnet Linear Synchronous Motor

为了解决永磁直线同步电机运行过程中对系统参数扰动及端部效应等不确定因素敏感的问题,提出了一种PMLSM的混合鲁棒最优-H∞控制方法。利用最优线性二次(LQ)控制器与Riccati方程结合讨论的思想把最优控制方法、鲁棒镇定方法等结合起来,形成混合鲁棒最优-H∞控制。利用鲁棒最优控制策略、H∞控制策略设计了永磁直线同步电机的混合鲁棒最优-H∞控制器,该控制器对于较大的外部扰动、内部非线性扰动都能够很好的消除,且控制规律简洁,易于工程实践。数字仿真结果表明与传统PID控制方式比较,混合鲁棒最优-H∞控制器具有很强的鲁棒性和跟踪性。

In order to solve the problem of sensitive uncertainties such as disturbance of the system parameters, the end effect appeared during the PMLSM running process, a mixed robust optimal-H∞ control method is proposed in this paper. Using the idea to discuss optimal linear quadratic （LQ） controller with the Riccati equation, combining the optimal method with robust stabilization method so as to form the mixed robust optimal control method. Design mixed robust optimal controllers of the permanent magnet linear motor using the robust optimal control strategy and H∞ control method. This controller can well eliminate the larger and stronger disturbance of the system. And this control strategy is simple to carry out. This has brought great convenience to the control of the actual project. Simulating the system with MATLAB/SIMULINK and comparing the results with PID controller＇s, the experimental results show that the mixed robust opti mal-controller has strong robustness and traceability.