区间变时滞不确定线性系统带记忆H_∞状态反馈控制  被引量:9

H_∞ State Feedback Control with Memory for Uncertain Linear Systems with Interval Time-varying Delay

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作  者:郑敏[1] 费树岷[1] 

机构地区:[1]东南大学自动化研究所,南京210096

出  处:《自动化学报》2007年第11期1211-1215,共5页Acta Automatica Sinica

基  金:国家自然科学基金(60574006)资助~~

摘  要:一类存在范数有界不确定性的线性时变时滞系统,其时变时滞仅给出时滞变化的上下界,而对时滞变化率未作任何约束.对于这类区间时变时滞系统,给出了一种新型的Lyapunov-Krasovskii泛函讨论其稳定性,通过分割平均时滞的方法减小保守性,得到以线性矩阵不等式(LMI)形式给出的稳定性判据.最后分析并给出了一种带记忆的H_∞状态反馈控制器,数值实例表明了本文方法的有效性.A new type of Lyapunov-Krasovskii functional based on fractioning the average delay approach is presented to analyze the stability of a class of linear systems with normbounded uncertainty and interval time-varying delay which belongs to a given interval and has no restriction on the delayderivative. The delay-dependent conditions are proposed in terms of linear matrix inequality (LMI) and the conservatism is reduced through our delay fractioning method. Then the H∞state feedback controller with memory is presented through analyzing the stability of the closed-loop system. Numerical examples are also given to illustrate the effectiveness of the proposed method.

关 键 词:区间时变时滞 时滞系统 线性矩阵不等式(LMI) 带记忆 H∞状态反馈控制 

分 类 号:TP13[自动化与计算机技术—控制理论与控制工程]

 

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