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含离散与分布时滞的不确定中立型系统鲁棒稳定性新判据
引用本文:李涛,张合新,孙鹏. 含离散与分布时滞的不确定中立型系统鲁棒稳定性新判据[J]. 控制理论与应用, 2010, 27(11): 1537-1542
作者姓名:李涛  张合新  孙鹏
作者单位:第二炮兵工程学院自动化系,陕西西安,710025
摘    要:基于离散时滞分解思想,通过构造一种新的Lyapunov-Krasovskii泛函并结合Jensen不等式技巧,建立了线性矩阵不等式(LMI)形式的时滞相关鲁棒稳定性新判据.该方法允许中立时滞项的系数矩阵存在时变不确定性,增强了系统的鲁棒性能.同时针对分布时滞项难于处理的问题,构造了其分解计算泛函.数值算例表明所得结论的有效性和更低的保守性.

关 键 词:Lyapunov-Krasovskii泛函   时滞分解   鲁棒稳定   线性矩阵不等式   Jensen不等式
收稿时间:2009-09-07
修稿时间:2010-03-07

New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay
LI Tao,ZHANG He-xin and SUN Peng. New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay[J]. Control Theory & Applications, 2010, 27(11): 1537-1542
Authors:LI Tao  ZHANG He-xin  SUN Peng
Affiliation:Department of Automation, Second Artillery Engineering College,Department of Automation, Second Artillery Engineering College,Department of Automation, Second Artillery Engineering College
Abstract:Being inspired by the idea of discrete time-delay decomposition, we formulate a new delay-dependent robust stability criterion in terms of linear matrix inequalities (LMIs) for the uncertain neutral-type systems with discrete and distributed time-delay. It is derived by constructing a new kind of Lyapunov-Krasovskii functional and combining theJensen inequality technology. Time-varying uncertainties are allowed in the coefficient matrix of the neutral time-delay system, which improves the robust performance of the system. To deal with the difficulties in handling the distributed timedelay, we develop a decomposed functional for its calculation. Numerical examples show the effectiveness and reduced conservatism of the proposed design method.
Keywords:Lyapunov-Krasovskii functional   delay decomposition   robust stability   linear matrix inequality   Jensen inequality
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