不确定大系统分散鲁棒H_∞控制的LMI方法

来源期刊：中南大学学报(自然科学版)2003年第6期

论文作者：陈宁 桂卫华 蔡自兴

文章页码：661 - 665

关键词：分散控制;不确定性大系统; H_∞控制器;状态反馈;输出反馈;线性矩阵不等式

Key words：decentralized control; uncertain large-scale systems; H_∞controllers; state feedback; output feedback; linear matrix inequality

摘    要：针对一类由N个子系统构成且存在参数不确定性的大系统,研究其分散鲁棒H_∞控制器的设计方法.目标是分别设计状态反馈控制器和基于状态观测器的输出反馈控制器,使大系统在允许的参数不确定时鲁棒稳定,并且满足H_∞性能指标.采用线性矩阵不等式(LMI)的方法,分别给出了状态反馈和输出反馈分散H_∞控制器存在的充分条件,利用LMI控制工具箱可方便地求解.仿真结果表明了该方法的有效性和优越性.

Abstract: For a kind of large-scale system composed of Nsub systems with existence of parameter uncertainties, a design method is proposed for decentralized robust H_∞controller. The objective is to design state feedback controller and output feedback controller based on the state observer to make the whole large-scale system robust stable with admissible uncertainties and satisfy the H_∞performance index. The design of decentralized robust H_∞ state feedback and output feedback controller is studied for a class of large-scale systems with parametric uncertainty. The sufficient condition for the existence of a decentralized robust H_∞controller is presented using linear matrix inequalities. The given example shows the application of the method.