线性广义系统基于一般形式观测器的严格耗散控制  

General state-observer-based strictly dissipative control for linear singular systems

作　　者：董心壮[1] 张玉[1] 艾玲[2] 宋源清[3] 

机构地区：[1]青岛大学自动化工程学院,山东青岛266071 [2]沈阳理工大学理学院,辽宁沈阳110168 [3]青岛理工大学自动化工程学院,山东青岛266033

出　　处：《控制理论与应用》2010年第10期1399-1403,共5页Control Theory & Applications

摘　　要：本文主要研究线性广义系统基于一般形式状态观测器的严格耗散控制器的设计问题,其中关于状态观测器需要同时设计3个系数矩阵.利用线性矩阵不等式方法,分别得到了满足要求的状态观测器及严格耗散控制器的存在条件及设计方法,保证观测器能够渐近地跟踪系统状态并且闭环广义系统容许且严格耗散.最后给出两个数值算例说明本文设计方法的有效性.This paper mainly deals with the design of state-observer-based strictly dissipative controllers for linear sin- gular systems, where three coefficient matrices are needed to be designed simultaneously for the state observers. By using the linear matrix inequality（LMI） method, we obtain the existence conditions and design methods for the state observers and the strictly dissipative controllers＇Which guarantee the observers of tracking the system state asymptotically, and ensure the closed-loop singular systems to be admissible and strictly dissipative. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

关 键 词：线性广义系统 严格耗散控制 状态观测器 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]