基于窗口H_∞范数的PID控制器优化设计

Optimal Design of PID Controller Based on Window H_∞ Norm

针对有限频段提出了窗口H_∞范数的新概念,然后给出了有限频段的界实定理及其对偶形式.按照模型匹配原则,将PID控制器的设计问题转化为窗口H_∞范数优化问题,通过求解LMI得到PID控制器参数.仿真结果验证了设计方法的有效性.

A new conception of window H∞ norm for restricted frequency range is presented, and then the bounded real theorem and the dual version for restricted frequency range are given. The problem of PID controller design is converted into a window H∞ norm optimization problem according to modelmatching principle, and the parameters of PID controller are obtained by solving LMI. Simulation result shows the effectiveness of the design method.