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一类新不确定2-D Roesser模型的鲁棒H_∞控制

Robust H_∞ Control of 2-D Roesser Models with New Uncertainties
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摘要 讨论了具有广义Frobenius范数有界参数不确定性的2-D Roesser模型的鲁棒H∞控制问题.借助线性矩阵不等式(LMI)给出了2-D Roesser模型鲁棒H∞控制问题可解性的一个充分条件,并利用这个条件,通过解一系列LMI设计出了所期望的γ—次优H∞状态反馈控制律. Abstract: The problem for robust Frobenius norm-bounded parameter uncertainties the robust H∞ control problem of 2-D Roesser desired state feedback controller can be constructed H∞ control of two dimensional Roesser models with generalized is discussed in this paper. A sufficient condition for the solvability of models is solved in terms of linear matrix inequalities (LMI), and a by solving a set of linear matrix inequalities.
作者 张燕 吴保卫
出处 《渭南师范学院学报》 2006年第2期3-6,10,共5页 Journal of Weinan Normal University
基金 国家自然科学基金资助项目(10071047)
关键词 2-D ROESSER模型 广义Frobenius范数 鲁棒H∞控制 参数不确定性 LMI 2-D Roesser models generalized Frobenius norm robust H∞ control parameter uncertainty LMI
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参考文献4

  • 1ZHENG Bing,WANG Guo-rong.Leverrier’s Algorithm and Caylay-hamilton Theorem for 2-D System[].Applied Math-ematics and Computation.2005
  • 2DU Chun-ling,XIE Li-hua.Stability Analysis and Stabilization of Uncertain Two-Dimensional Discrete Systems:An LMIApproach[].IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I:FUNDAMENTAL THEORY AND APPLI-CATIONS.1999
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  • 4Yu Li,Gao Fu-rong.Robust H∞control of Discrete-time Linear Systems with Delayed state and Frobenius Norm-bound-ed uncertainties[].Proceedings of the thIEEE conference on Decision and control.2000

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