线性离散重复过程的耗散性分析与综合  

Strictly dissipative control of discrete linear repetitive processes

作　　者：赵建红[1] 张悦[2] 

机构地区：[1]通化师范学院数学系,吉林通化134002 [2]东北大学理学院,辽宁沈阳110004

出　　处：《浙江大学学报（理学版）》2011年第3期279-283,共5页Journal of Zhejiang University（Science Edition）

基　　金：吉林省教育厅科技项目:吉教科合字[2009]第470号

摘　　要：研究确定的与不确定的线性离散重复过程的状态反馈严格耗散控制器的设计问题.利用矩阵不等式方法,首先给出了线性离散重复过程稳定且严格耗散的条件,然后得到状态反馈严格耗散控制器的存在条件和设计方法;进而针对一类具有范数有界不确定性的线性离散重复过程,设计鲁棒严格耗散控制器,保证闭环过程是稳定且严格耗散的.The problem of designing state feedback strictly dissipative controllers for discrete linear repetitive processes with or without uncertainty is discussed.By means of matrix inequality,firstly a sufficient condition is derived for this process to be stable and strictly dissipative,then existence condition with explicit expression of a state feedback strictly dissipative controller is presented.Furthermore,for a class of discrete linear repetitive processes with norm-bounded uncertainties,a robust strictly dissipative controller is designed.The controller guarantees the resulting closed loop process to be stable and strictly dissipative.

关 键 词：线性离散重复过程 严格耗散 耗散控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]