基于LMI不确定关联大系统的分散鲁棒H_∞控制

来源期刊：中南大学学报(自然科学版)2003年第1期

论文作者：陈宁 桂卫华

文章页码：84 - 87

关键词：分散控制；鲁棒H_∞控制；不确定性；关联大系统；线性矩阵不等式

Key words：decentralized control; robust H_∞ feedback; uncertainties; interconneceted large-scale systems; linear matrix inequality

摘    要：针对一类具有不确定性的关联大系统,研究其分散鲁棒H_∞状态反馈控制问题.系统的不确定性参数满足范数有界条件,而不需要满足匹配条件.根据Lyapunov稳定性原理,得到了分散状态反馈控制器,使每一个子系统和整个大系统都可镇定且满足给定H_∞性能的充分务件.采用鲁棒分析与设计的重要方法——线性矩阵不等式法,获得了分散H_∞状态反馈控制器的参数化形式.仿真结果表明.该方法没有参数调整的过程,求解、应用方便.

Abstract: As one of the important branches of interconnected large-scale systems, decentralized control has been paid much attention to since the 1980s. Since the models often contain uncertainties, expected performance can not be obtained if the controller is designed only based on nominal model, the robust stabilization for uncertain interconnected large-scale systems has given rise to a lot of attention. The decentralized control problem via Hoo control is studied for a class of large-scale systems in this paper. The uncertainty is value bounded. Based on Lyapunov stability theorem, a new decentralized H_∞　feedback control design method is developed. The decentralized Hoo feedback controller can be obtained by solving a set of suitable linear matrix inequalities. The application results show that the method is very easy to use.