LPV系统加权函数法的鲁棒跟踪设计

Robust Track of LPV System Based on Weighted Function Method

线性时变系统的重要一类是处理对象中状态空间矩阵的时变物理参数,如何设计控制器使系统满足设计指标是控制中的关键问题。研究了基于加权函数法的线性变参数(LPV)系统设计方法与过程,并指出了参数不确定系统的信号跟踪、系统的稳定性和干扰抑制问题,这三者与控制性能指标设计问题之间是可以相互转化的。通过选择加权函数,转变为线性分式的控制问题求解,从而达到提高系统的鲁棒性能,降低保守性的目的。最后,通过实际的感应电机转子磁链跟踪系统,采用基于LPV鲁棒加权函数法设计其控制器,仿真实现了它对输入磁链参考信号的有效跟踪,且它能有效抑制外界干扰,从而验证了此方法设计的控制器的有效性。

The design of the weighted function, and linear parameter varying （LPV） system concept are described are described. Pointed out the signal tracking systems with unknown parameters, the system stability and disturbance rejection problems, these three design problems with the control H∞ performance can be transformed into each other. So as to improve the system robustness and reduce the conservative, by selecting the weighting function and transfroming into a linear fractional H∞ control problem, it can be solved. Fi- nally, the rotor flux of induction motor system, using the weighted function based on LPV robust controller is designed to achieve a flux reference signal input the effective tracking and can effectively suppress interference. Simulation verifies the effectiveness of this meth- od.