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线性离散时滞重复过程的H∞控制 被引量：5

H-infinity control for discrete linear repetitive processes with time-delay
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摘要 首先给出了线性离散时滞重复过程的2D(两维)Roesser模型,采用线性矩阵不等式方法导出了过程稳定并具有H∞扰动抑制度的一个充分条件.通过求一个线性矩阵不等式的可行解来构造系统的一个状态反馈H∞控制器.进一步,通过求解一个线性矩阵不等式凸优化问题得到该过程的最优状态反馈H∞控制器. The discrete linear repetitive process with time-delay is described by a 2-D state-space Roesser model. A sufficient condition is derived for this process to be stable and to have an H-infinity disturbance attenuation via the linear matrix inequality（LMI） approach. A state feedback H-infinity controller is then developed by solving a certain LMI. Furthermore, the optimal state-feedback H-infinity controller is obtained by solving a convex optimization problem with LMI constraints.
作者 徐建明 俞立 熊远生
机构地区 浙江工业大学信息工程学院 嘉兴学院机电工程学院
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2008年第6期1113-1116,共4页 Control Theory & Applications
基金 国家杰出青年科学基金资助项目(60525304).
关键词 重复过程 时滞 稳定性 H∞控制 线性矩阵不等式 repetitive processes time-delay stability H-infinity control LMI
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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参考文献9

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  • 2OWENS D H, AMANN N, ROGERS E, et al. Analysis of linear iterative learning control schemes-a 2D systems/repetitive processes approach[J]. Multidimensional Systems and Signal Processing, 2000, 11(1/2): 125 - 177.
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  • 4ROGERS E, OWENS D H. Stability Analysis for Linear Repetitive Processes[M]. Berlin: Springer, 1992.
  • 5GALKOWSKI K, ROGERS E, XU S, et al. LMIs-a fundamental tool in analysis and controller design for discrete linear repetitive processes[J]. IEEE Transactions on Circuits and Systems Ⅰ: Fundamental Theory and Applications, 2002, 49(6): 768 - 778.
  • 6GALKOWSKI K, LAM J, ROGERS E, et al. LMI based stability analysis and robust controller design for discrete linear repetitive processes[J]. International Journal of Robust and Nonlinear Control, 2003, 13(13): 1195 - 1211.
  • 7PASZKE W, GALKOWSKI K, ROGERS E, et al. H∞ control of discrete linear repetitive processes[C]//Proceedings of the 42nd IEEE Conference on Decision and Control. New York: IEEE Press, 2003: 628 - 633.
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同被引文献20

  • 1徐慧玲,盛梅,邹云,郭雷.2-D奇异系统Roesser模型的鲁棒H_∞控制[J].控制理论与应用,2006,23(5):703-705. 被引量：1
  • 2XU S,LAM J,LIN Z,et al.Positive Real Control of Two-Dimensional Systems:Roesser Models and Linear Repetitive Processes[J].International Journal of Control,2003,76(11):1047-1058.
  • 3CICHY B,GALKOWSKI K,ROGERS E,et al.Control of Discrete Linear Repetitive Processes with Uncertain Sampling Period and Application to a Physical Example[C] //The Fourth International Workshop on Multidimensional Systems-NDS.2005:148-153.
  • 4OWENSDH,AMANNN,ROGERSE,et al.Analysis of Linear Iterative Learning Control Schemes-A 2D Systems/Repetitive Processes Approach[J].Multidimensional Systems and Signal Processing,2000,11:125-177.
  • 5ROGERS E,OWEN D H.Stability Analysis for Linear Repetitive Processes[C] //Lecture Notes in Control and Information Science.London:Springer Verlag,1992.
  • 6GALKOWSKI K,PASZKE W,ROGERS E,et el.Stability and Control of Differential Linear Repetitive Processes Using an LMI Setting[J].IEEE Transactions on Circuits and Systems-Ⅱ,2003,50(9):662-666.
  • 7PASZKE W,GALKOWSKI K,ROGERS E,et al.H∞ and Guaranteed Cost Control of Discrete Linear Repetitive Processes[J].Linear Algebra and its Applications,2006,412:93-131.
  • 8GALKOWSKI K, LAM J, ROGER E. LMI based stability analysis and robust controller design for discrete linear repetitive processes[J]. International Journal of Robust and Nonlinear Control, 2003, 13 ( 13 ):1195--1211.
  • 9GALKOWSKI K, ROGERS E, XU S, et al. LMIs a fundamental tool in analysis and controller design for discrete linear repetitive processes[J].IEEE Trans Circuits Systems-I, 2002,49 (6) : 768-- 778.
  • 10SULIKOWSKI B, GALKOWSKI K, ROGERS E, et al. Output feedback control of discrete linear repetitive processes[J]. Automatica,2004,40:2167-2173.

引证文献5

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控制理论与应用
2008年 第6期

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