东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (7): 621-624.DOI: -

• 论著 • 上一篇    下一篇

线性中立时滞系统的时滞相关H_∞控制

张友;齐丽;井元伟;张嗣瀛   

  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;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
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-07-15 发布日期:2013-06-24
  • 通讯作者: Zhang, Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009);;高等学校博士学科点专项科研基金资助项目(20020145007)·

Delay-dependent H control of linear neutral delay systems

Zhang, You (1); Qi, Li (1); Jing, Yuan-Wei (1); Zhang, Si-Ying (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-07-15 Published:2013-06-24
  • Contact: Zhang, Y.
  • About author:-
  • Supported by:
    -

摘要: 研究了一类线性中立时滞系统的时滞依赖型H∞状态反馈控制器的设计问题·基于时域H∞性能概念,利用Lyapunov Krasovskii稳定性定理和线性矩阵不等式方法,首先建立了一个时滞依赖型稳定性准则,然后给出了一个使该中立时滞系统达到渐近稳定且满足给定H∞范数的充分条件,以此为基础,给出了H∞状态反馈控制器存在的充分条件与设计方案,所得结论与该系统的时滞无关H∞控制器相比具有较小的保守性·最后,仿真结果验证了此方法的有效性与正确性·

关键词: 中立时滞系统, H∞性能, 线性矩阵不等式(LMI), 无记忆状态反馈, 渐近稳定性

Abstract: The design of H static feedback controller is studied for a class of linear neutral delay system. Based on the concept of H performance in time domain, Lyapunov-Krasovskii stability theorem and linear matrix inequalities are used to establish a delay-dependent stability criterion, then a sufficient condition is derived to stabilize asymptotically the neutral system under consideration and satisfy the desired H bound constraint on the disturbance attenuation. A sufficient condition is given to the existence of a H memoryless state-feedback controller with the conceptual design. The conclusion shows less conservation in comparison with the delay-independent H controller of the system. The numerical simulation verifies the validity and effectiveness of the proposed approach.

中图分类号: