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广义时滞系统的严格无源控制
Strictly Passive Control for Time-Delay Singular Systems
【Author】 GUO Xiuhui, WANG Xianjie, LI Qin School of Mathematics & Information Science,Yantai University, Yantai 264005
【机构】 烟台大学数学与信息科学学院;
【摘要】 本文主要研究广义时滞系统的严格无源控制的严格不等式条件.通过引入Lyapunov函数,分别针对确定的广义时滞系统和具有范数有界不确定性的广义时滞系统,给出了广义时滞系统容许且严格无源的充分条件.然后基于该条件设计状态反馈控制器,使得闭环系统容许且严格无源,最后通过仿真算例验证了所提方法的有效性.
【Abstract】 The strictly passive control problem is studied for time-delay singular systems. A time-delay singular system and a time-delay singular system with the norm bounded uncertainty are discussed respectively. Based on Lyapunov function, a sufficient condition is firstly formulated in terms of strict linear matrix inequalities LMI such that the system is admissible and strictly passive .Then state feedback controller is constructed such that closed-loop system is admissible and strictly passive . Finally, a numerical example is given to show the effectiveness of the proposed method.
【Key words】 Time-Delay Singular System; Strict LMI; Strictly Passive Control.;
- 【会议录名称】 第24届中国控制与决策会议论文集
- 【会议名称】第24届中国控制与决策会议
- 【会议时间】2012-05-23
- 【会议地点】中国山西太原
- 【分类号】TP13
- 【主办单位】东北大学、IEEE工业电子分会、IEEE控制系统协会哈尔滨分会