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含区间时变时滞的线性不确定系统非脆弱鲁棒控制
引用本文:邵克勇,杜美燃,徐双双. 含区间时变时滞的线性不确定系统非脆弱鲁棒控制[J]. 自动化技术与应用, 2012, 31(3): 1-3,23
作者姓名:邵克勇  杜美燃  徐双双
作者单位:东北石油大学电气信息工程学院,黑龙江大庆,163318
摘    要:针对一类时滞是时变的且属于一个已知区间的线性系统,利用Lyapunov-Krasovskii泛函方法,结合积分不等式方法,以线性矩阵不等式的形式,给出了区间时滞线性系统的时滞相关鲁棒稳定性准则,并设计了非脆弱鲁棒控制器。数值算例表明,所得结论是有效的,具有更低的保守性。

关 键 词:区间时滞  非脆弱  时滞相关  Lyapunov-Krasovskii泛函  稳定性

Non-Fragile Robust Control for Uncertain Linear Systems with Interval Time-Varying Delay
SHAO Ke-yong , DU Mei-ran , XU Shuang-shuang. Non-Fragile Robust Control for Uncertain Linear Systems with Interval Time-Varying Delay[J]. Techniques of Automation and Applications, 2012, 31(3): 1-3,23
Authors:SHAO Ke-yong    DU Mei-ran    XU Shuang-shuang
Affiliation:(School of Electrical and Information Engineering,Northeast Petroleum University,Daqing 163318 China)
Abstract:For time-varying delay linear systems with intervals,by incorporating with Lyapunov-Krasovskii functional method combined with the integral inequality apporoach,a delay-dependent robust stability criterion is proposed in terms of the linear matrix inequality for linear systems with interval time-delay,and a non-fragile robust controller is designed.Numerical examples show that the results are effective and less conservative.
Keywords:interval time delay  delay-dependent  Lyapunov-Krasovskii functional  stability
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