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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。
An important class of linear time-varying systems is to deal with the time-varying physical parameters of the state space matrix in an object. How to design a controller so that the system meets the design specifications is a key issue in the control. The design method and process of linear variable parameter (LPV) system based on weighted function method are studied. The signal tracking, system stability and interference suppression of parameterized uncertain system are pointed out. These three problems are related to the design of control performance index Can be transformed into each other. By choosing the weighting function, the control problem is transformed into a linear fractional solution, so as to achieve the goal of improving the robust performance and reducing the conservativeness of the system. Finally, through the actual induction motor rotor flux linkage tracking system, the LPV robust weighting function method is used to design its controller. The simulation results show that it can effectively track the reference signal of input flux linkage, and it can effectively suppress the external disturbance so as to verify The effectiveness of the controller designed by this method.