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具有控制器增益的不确定多滞后系统的鲁棒H_∞控制 被引量:1

Robust H_∞ Control for Linear Uncertain Systems with Multiple State Delays and Controller Gain Variations
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摘要 讨论了一类线性多时滞不确定系统的带有控制器增益的H∞鲁棒控制问题.采用Lyapunov函数方法,结合矩阵不等式的性质,给出了线性多时滞系统的渐近稳定的充分条件,并设计出具有增益的H∞鲁棒控制器,所得结果分别基于相应的线性矩阵不等式的解. The resilient H_∞ control for linear systems with multiple state delays is discussed. Based on Lyapunov method and the properties of matrix inequality, sufficient conditions for asymptotic stability of the linear uncertain systems with multiple states are given, and the resilient H_∞ controller of this kind of systems is designed. The results are computationally efficient, since they depend on the solution of corresponding LMIs respectively.
作者 衣春林
机构地区 烟台教育学院
出处 《烟台大学学报(自然科学与工程版)》 CAS 2005年第3期212-215,共4页 Journal of Yantai University(Natural Science and Engineering Edition)
基金 国家自然科学基金资助项目(69974032).
关键词 控制器增益变化 多时滞系统 不确定系统 H∞控制 线性矩阵不等式(LMI) controller gain variations time-delay systems uncertainty H_∞ control linear matrix inequality
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参考文献12

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二级参考文献5

  • 1[1]Keel L H, Bhattacharyya S P. Robust, fragile, or optimal. IEEE Trans. Automa. Control, 1997, 42(8):1098~1105 被引量:1
  • 2[2]Kim J H, Lee S K, Park H B. Robust and non-fragile H∞ control of parameter uncertain time-varying delay systems. In:Proc. Society of Instrument and Control Engineers, Japan: Morioka, 1999. 927~932 被引量:1
  • 3[3]Yang G-H, Wang J L, Liu C. H∞ control for linear systems with controller uncertainty. In: Proc. American Control Conference, California: San Diego, 1999. 3377~3381 被引量:1
  • 4[4]Xie L, Fu M,de Souza C E. H∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback. IEEE Trans. Automa. Control, 1992, 37(8):1253~1256 被引量:1
  • 5[5]Kokame H, Kobayashi H, Mori T. Robust H∞ performance for linear delay-differential systems with time-varying uncertainties. IEEE Trans. Automa. Control, 1998, 43(2):223~226 被引量:1

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