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2-D状态滞后系统的时滞相关H_∞控制 被引量：4

Delay-dependent H_∞ control of 2-D state-delayed systems
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摘要 研究了具有状态滞后的二维(2-D)离散线性系统的时滞相关H∞控制问题.首先提出了2-D状态滞后系统的时滞相关有界实引理;基于此引理,通过线性矩阵不等式(LMI)的可行性,设计状态反馈控制器使得闭环系统具有H∞扰动衰减度γ;进而求解一个线性凸优化问题可得最小化γ值.所得的时滞相关结果可转化为时滞无关情形.数值算例说明了所得结论的有效性和优越性. This paper studies the delay-dependent H∞ control problem of two-dimensional （2-D） discrete linear systems with state delays. Firstly, we propose the delay-dependent bounded real lemma of 2-D state-delayed systems. Based on the lemma, the design of state feedback controller is developed, such that the closed-loop system has H∞ disturbance attenuation ）, via the feasibility of linear matrix inequalities （LMIs）. Furthermore, the minimum value of γ can be obtained by solving a linear convex optimization problem. The delay-dependent result can be extended to the delay-independent one. Numerical examples demonstrate the effectiveness and advantages of our results.
作者 彭丹 关新平 龙承念
机构地区 燕山大学电气工程学院
出处 《控制与决策》 EI CSCD 北大核心 2008年第10期1117-1121,共5页 Control and Decision
基金 国家杰出青年科学基金项目(60525303) 教育部科技重点研究项目(204014)
关键词 2-D状态滞后系统 H∞扰动衰减度 H∞控制 时滞相关 线性矩阵不等式 2-D state-delayed systems H∞ disturbance attenuation H∞ control Delay-dependent LMI
分类号 TP273.1 [自动化与计算机技术—检测技术与自动化装置]
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参考文献13

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同被引文献45

  • 1宗臻,王诗宓.基于LMI的输出反馈鲁棒完整性控制器设计[J].控制理论与应用,2005,22(5):682-686. 被引量：15
  • 2Kaczorek T. Two-dimensional linear systems[M].Lecture Notes in Control and Information Sciences. Berlin, 1985.
  • 3Wang Zidong, Liu Xiaohui.Robust stability of two- dimensional uncertain discrete systems[J]. IEEE Signal Processing Letters, 2003, 10(5): 33-136.
  • 4Gao Huijun, Larn J, Xu Shengyuan, et al. Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation[J]. Multidimensional systems and Signal Processing, 2005, 16(1): 85-106.
  • 5Liu T. Stability analysis of 2-D systems[J]. Signal Process, 2008, 88(8): 2078-2084.
  • 6Du Chunling, Xie Lihua, Zhang Cishen. H∞ control and robust stabilization of two-dimensional systems in Roesser models[J]. Automatica, 2001, 37(2): 205-211.
  • 7Feng Z Y, Xu L, Anazawa Y. Sufficient LMI conditions for H∞ static output feedback control of 2-D systems[C]. The 11th Int Conf on Control, Automation, Robotics and Vision. Singapore, 2010: 57-60.
  • 8Feng Z Y, Xu L. H∞ static output feedback controller design for two-dimensional discrete systems in Roesser model[C]. 2010 IEEE Conf on Systems and Control Yokohama, 2010: 1790-1794.
  • 9Guan Xinping, Long Chengnian, Duan Guangren. Robust optimalguaranteed cost control for 2D discrete systems[J]. IEE Proc of Control Theory and Applications, 2001, 148(5): 355-361.
  • 10She Jinhua, Zhou L, Wu Min, et al. State-observer based two-dimensional robust repetitive control[C]. Proc of European Control Conf. Budapest: Hungary, 2009: 1517- 1522.

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控制与决策
2008年 第10期

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