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大型互联线性系统的输入-输出分散有限时间镇定
引用本文:傅勤.大型互联线性系统的输入-输出分散有限时间镇定[J].苏州科技学院学报(自然科学版),2012,29(3):6-13.
作者姓名:傅勤
作者单位:苏州科技学院数理学院,江苏苏州,215009
基金项目:江苏省高校自然科学基金资助项目
摘    要:借助于线性时变系统输入-输出有限时间稳定性的定义,对大型互联线性时变系统引入了输入-输出有限时间稳定性的概念。并对一类大型互联线性时变系统进行了分散状态反馈控制器设计,利用微分线性矩阵不等式(DLMI)的方法,提出一个充分条件,当反馈控制律作用于该系统时,闭环系统是输入-输出有限时间稳定的。并给出仿真算例说明该结论的可行性和有效性。

关 键 词:输入-输出有限时间镇定  分散控制  微分线性矩阵不等式(DLMI)  大型互联线性时变系统

Input-output decentralized finite-time stabilization of large-scale interconnected linear systems
FU Qin.Input-output decentralized finite-time stabilization of large-scale interconnected linear systems[J].Journal of University of Science and Technology of Suzhou,2012,29(3):6-13.
Authors:FU Qin
Institution:FU Qin(School of Mathematics and Physics,SUST,Suzhou 215009,China)
Abstract:The concept of input-output finite-time stability for large-scale interconnected linear time-varying systems is introduced by referring to the definition of input-output finite-time stability for linear time-varying systems.The design of decentralized state feedback controllers is given for a class of large-scale interconnected linear time-varying systems.A sufficient condition is provided by using differential linear matrix inequality(DLMI).When the feedback control laws are applied to the systems,the closed-loop systems are at the state of input-output finite-time stability.A simulation example illustrates the feasibility and effectiveness of the conclusion.
Keywords:input-output finite-time stabilization  decentralized control  differential linear matrix inequality (DLMI) :large-scale interconnected linear time-varying systems
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