H_∞ Control for 2-D Discrete State Delayed Systems in the Second FM Model 被引量：3

H_∞ Control for 2-D Discrete State Delayed Systems in the Second FM Model

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摘要这份报纸涉及 H 控制的问题为二维(2-D ) 分离州的延期系统由第二 Fornasini 和 Marchesini (FM ) 描述了州空间当模特儿。为这个 2-D 系统有 H 噪音变细的一个足够的条件以某个线性矩阵不平等(LMI ) 被给。最佳的 H 控制器被解决一个凸的优化问题获得。最后，一个模拟例子被给说明建议结果的有效性。 This paper is concerned with the problem of H∞ control for two-dimensional （2-D） discrete state delay systems described by the second Fornasini and Marchesini （FM） statespace model. A sufficient condition to have an H∞ noise attenuation for this 2-D system is given in terms of a certain linear matrix inequality （LMI）. The optimal H∞ controller is obtained by solving a convex optimization problem. Finally, a simulation example is given to illustrate the effectiveness of the proposed result.

作者 XU Jian-Ming YU Li

机构地区 College of Information Engineering

出处《自动化学报》 EI CSCD 北大核心 2008年第7期809-813,共5页 Acta Automatica Sinica

基金 National Natural Science Foundation of China(60525304)

关键词二维离散系统控制方法计算方法自动化技术智能系统 2-D discrete systems, state delay, H∞ control, LMI

分类号 TN918 [电子电信—通信与信息系统] TP2 [自动化与计算机技术—检测技术与自动化装置]

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1Roesser R P. A discrete state-space model for linear image processing. IEEE Transaztions on Automatic Control, 1975, 20(1): 1-10.
2Kaczorek T. Two-dimensional Linear Systems. Berlin: Springer-Verlag, 1985.
3Hinamoto T. Stability of 2-D discrete systems described by the Fornasini-Marchesini second model. IEEE Transactions on Circuits Systems I: Fundamental Theory and Applications, 1997, 44(3): 254-257.
4Owens D H, Amann N, Rogers E, French M. Analysis of linear iterative learning control schemes - a 2D systems/repetitive processes approach. Multidimensional Systems and Signal Processing, 2000, 11(1-2): 125-177.
5Li X D, Ho J K L, Chow T W S. Iterative learning control for linear time-variant discrete systems based on 2-D system theory. IEE Proceedings Control Theory and Appllcations, 2005, 152 (1): 13-18.
6Sulikowski B, Galkowski K, Rogers E, Owens D H. Output feedback control of discrete linear repetitive processes. Automatica, 2004, 40(12): 2167-2173.
7Dymkov M, Gaishun I, Galkowski K, Rogers E. Owens D H. Exponential stability of discrete linear repetitive processes. International Journal of Control, 2002, 75(12): 861-869.
8Doyle J C, Glover K, Khargonekar P P, Francis B A. State-space solutions to standard H2 and H∞ control problems. IEEE Transactions on Automatic Control, 1989, 34(8): 831-847.
9Sebek M. H∞ problem of 2-D systems. In: Proceedings of European Control Conference. 1993. 1476-1479.
10Du C L, Xie L H. H∞ Control and Filtering of Two-dimensional Systems. Berlin: Springer-Verlag, 2002.