数值界不确定关联大系统分散鲁棒H_∞控制  

Decentralized Robust H_∞ Control for Large-scale Interconnected Systems with Uncertain Value Bound

作　　者：谢永芳[1] 黄洋[1] 桂卫华[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《信息与控制》2005年第5期523-527,共5页Information and Control

摘　　要：针对一类状态矩阵、控制矩阵及关联矩阵存在数值界不确定性的关联大系统,研究其分散鲁棒H∞状态反馈控制器设计问题.基于有界实引理将存在鲁棒分散H∞状态反馈控制器的条件归结为一个非线性矩阵不等式求解问题,采用同伦迭代线性矩阵不等式方法求解分散控制器,使闭环大系统鲁棒稳定,并且满足给定的H∞性能指标.最后通过一个数值例子来说明该设计方法的有效性.*Design of robust H∞ decentralized state feedback controller is considered for large-scale interconnected systems with uncertainty value bound in state, control and interconnected matrices. A sufficient condition for existing decentralized robust H∞ state feedback controller is derived based on the boundedness real lemma. This condition is expressed as the solvability problem of nonlinear matrix inequality （NLMI）. A controller which can make the large-scale closed loop system robust and stable and satisfy the given H∞ performance is obtained by homotopy iterafive method. Simulation results demonstrate the validity of the method.

关 键 词：数值界不确定性 分散控制 鲁棒H∞控制 非线性矩阵不等式(NLMI) 同伦迭代方法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]