广义系统的分散保成本控制  

The Decentralized Guaranteed Cost Control of Descriptor System

作　　者：顾则全[1] 廖福成[1] 翟丁[2] 

机构地区：[1]北京科技大学应用科学学院,北京100083 [2]东北大学理学院,辽宁沈阳110004

出　　处：《应用基础与工程科学学报》2004年第3期322-327,共6页Journal of Basic Science and Engineering

摘　　要：研究了广义系统的分散保成本控制问题.针对一般的广义分散控制系统,构造了一个积分二次型成本函数,针对此系统和成本函数提出了一个分散二次型保成本控制律,并通过Lyapunov稳定性理论,证明出当此保成本控制律作用于广义分散控制系统时,其闭环广义系统是渐近稳定的,并且二次型成本函数满足有界性条件,同时给出了最小上界.最后,给出了分散保成本状态反馈控制器存在的一个充分条件,接着证明了控制律的设计问题可转化为一个线性矩阵不等式的求解问题.This paper is concerned with the problem of decentralized guaranteed cost control for descriptor system. For a general decentralized control system of descriptor system, we construct a integral cost function, and present a decentralized guaranteed cost control law. By using Lyapunov method, we prove that the closed loop system of descriptor system is asymptotic stable and the limited condition is satisfied for the cost function, simultaneously, the least upper bound is given. At last, a sufficient condition of existence of decentralized guaranteed cost state feedback controllers is propose. Then we prove that the design of this controller can be transformed into a problem of finding a feasible solution of a set of linear matrix inequalities.

关 键 词：保成本控制 广义系统 线性矩阵不等式 LYAPUNOV稳定性理论 渐近稳定 成本函数 状态反馈控制器 二次型 证明 有界性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]