基于LMI的H_∞鲁棒PID控制器设计  

Design of H_∞ Robust PID Controller Based on LMI

作　　者：李会军[1] 陈明军[2] 

机构地区：[1]东南大学仪器科学与工程系,江苏南京210096 [2]南京理工大学自动化系,江苏南京210096

出　　处：《控制工程》2007年第3期294-296,315,共4页Control Engineering of China

基　　金：江苏省博士后科研基金计划资助项目(1660631123)

摘　　要：针对一类线性系统,研究了基于H∞的鲁棒PID控制器的设计方法,使得闭环系统的所有极点均位于一个给定的LMI区域中。采用线性矩阵不等式的处理方法,证明了该问题等价于一组线性矩阵不等式的可解性问题。利用该线性矩阵不等式的可行解给出了PID控制器的构造方法,并通过现有的软件Matlab中的工具箱LMI来进行求解。该方法很好地解决了PID控制下的极点指标和H∞鲁棒控制的相容性问题。实际的工程算例验证了该方法的有效性和可行性。The design problem of H∞ robust PID controller for a kind of linear systems is studied to assure that all poles of the closed loop system are in a given domain. This problem of controller design is proved to be equal to the solvability problem of a set of linear matrix inequalities （LMI）. Feasible solution of the LMI is used to construct the PID controller and can find solution by MATLAB toolbox-LMI, This algorithm is used to deal with compatibihty between poles indices and H∞ robust control with PID controller. Practical simulations show the effectiveness and feasibility of the algorithm.

关 键 词：H∞鲁棒控制 PID控制器 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]