不确定时滞系统的鲁棒耗散控制  

Robust Dissipative Control of Linear Time-delay Systems with Uncertainties

作　　者：杨丽[1] 杨小光[2] 张庆灵[1] 范芙蓉[3] 刘国义[1] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004 [2]大连海事大学数学系,辽宁大连116021 [3]东北大学工商管理学院,辽宁沈阳110004

出　　处：《控制工程》2006年第2期154-157,共4页Control Engineering of China

基　　金：辽宁省普通高校学科带头人基金资助项目(124210);辽宁省科技基金资助项目(2001401041)

摘　　要：耗散不确定性是已经被广泛讨论的范数有界的不确定性和正实不确定性的广义化,因此,从二次型供给率的角度,将耗散不确定性引入线性时变时滞系统,研究了含有此类不确定性的线性时滞系统的鲁棒耗散控制问题,给出了线性矩阵不等式(LMI)形式的充分条件。而且,考虑了不确定时滞系统在状态反馈控制器作用下的闭环系统的耗散控制问题,同样给出了LMI形式的充分条件,并通过线性矩阵不等式的可行解构造出鲁棒耗散的状态反馈控制器。最后,通过实例证明了定理的可行性。Dissipative uncertainties are generalized form of the normal hounded uncertainties and the positive real uncertainties which are discussed widely. Therefore, in view of the quadratic supply rate, the dissipative uncertainties are introduced into the linear time-vary systems with time-dehy. And the problem of robust dissipative control of linear time-delay systems with this kind of uncertainties is discussed. Then the sufficient conditions is given in the form of linear matrix inequality （LMI）. Furthermore, the dissipative control problem of closed-loop systems of time-delay systems with uncertainties is discussed via state feedback controller. The sufficient condition in form of LMI is given, and robust dissipative controller is obtained by the existence of the solution of LMI. Examples show the feasibility of the theorems.

关 键 词：供给率 耗散控制 状态反馈控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]