线性矩阵不等式的H_∞跟踪控制器设计方法

Design of H_∞ tracking controller with linear matrix inequality

为提高线性连续时间系统的跟踪性能,提出基于线性矩阵不等式(LMI)技术的H_∞跟踪控制器设计方法。利用LMI技术和Lyapunov函数方法,以H_∞跟踪控制参数为性能指标,给出基于观测器的跟踪控制器存在条件。结果表明:闭环系统的状态曲线可实现对参考信号的跟踪,证明定理所给出的跟踪控制器及观测器求解方法的有效性。

This paper introduces the design of tracking controller via linear matrix inequality（ LMI）,a method designed to improve the tracking control performance of continuous-time linear system. The study using LMI technique and Lyapunov function method and building on tracking controlling parameter as performance index produces the sufficient condition for tracking controller based on observer. The results show that the state response of close-loop system allows reference signals to be tracked,verifying the validity of tracking controller and observer design method.