东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (1): 5-8.DOI: -

• 论著 • 上一篇    下一篇

随机双曲正切模型的鲁棒H_∞控制

王以忠;张化光;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-01-15 发布日期:2013-06-22
  • 通讯作者: Wang, Y.-Z.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60534010;60572070;60521003);;

Robust H∞ control of stochastic hyperbolic tangent model

Wang, Yi-Zhong (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-01-15 Published:2013-06-22
  • Contact: Wang, Y.-Z.
  • About author:-
  • Supported by:
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摘要： 研究了具有时变时滞的一种新颖模型——随机双曲正切模型的鲁棒可镇定和鲁棒控制问题.基于线性矩阵不等式和Lyapunov-Krasovskii方法,提出了时滞依赖的稳定性准则,由此进一步给出了鲁棒非线性状态反馈控制律,相应的控制器可保证闭环系统是均方意义下渐近稳定的.对于H∞控制问题,一种鲁棒H∞控制器的设计方法被提出,它对于给定的H∞性能指标能够保证闭环系统是均方意义下渐近稳定的.最后用一个设计示例和仿真结果验证了本文提出的方法的有效性.

关键词: 鲁棒, H∞控制, 随机双曲正切模型, 时滞, 线性矩阵不等式

Abstract: Studies the problems of robust stabilization/H∞ control of a stochastic hyperbolic tangent model newly developed with time-varying delay. Based on linear matrix inequality (LMI) and Lyapunov-Krasovskii approaches, a delay-dependent stabilization criterion and robust nonlinear state feedback control law are given. And the controller thus designed is guaranteed asymptotically stable in terms of mean square for closed-loop systems. For the robust H∞ control problem, a design method of the robust H∞ controller is proposed to keep a closed-loop system asymptotically stable in terms of mean square with a pre-defined H∞ disturbance attenuation coefficient γ. An illustrative example and simulation results are given to verify the effectiveness of the approaches proposed.

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