东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (7): 929-932.DOI: -

• 论著 • 上一篇    下一篇

多时滞不确定广义系统的非脆弱H_∞保成本控制

张庆灵;袁薇;   

  1. 东北大学理学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-07-15 发布日期:2013-06-24
  • 通讯作者: Zhang, Q.-L.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011)

Non-fragile H∞ guaranteed cost control for uncertain singular systems with multiple time-delay

Zhang, Qing-Ling (1); Yuan, Wei (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-07-15 Published:2013-06-24
  • Contact: Zhang, Q.-L.
  • About author:-
  • Supported by:
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摘要： 对一类具有结构不确定性的线性多时滞广义系统,结合了一个二次性能指标,研究其非脆弱H∞保成本控制律的设计问题.基于Lyapunov稳定性理论证明其系统的稳定性.利用线性矩阵不等式(LMI)方法,分别对控制器增益具有加法式摄动和乘法式摄动两种情形加以讨论,得到非脆弱保成本控制律设计的一个充分条件.该控制器能保证闭环系统稳定和一定的线性二次性能指标上界,同时具有H∞范数下的干扰抑制作用.最后,针对加法和乘法两种摄动的情况,用数值例子进一步说明本文所给方法的有效性.

关键词: 不确定广义系统, 保成本控制, 时滞, 非脆弱的, 线性矩阵不等式(LMIs)

Abstract: Discusses the design problem of non-fragile guaranteed cost controller for a class of linear multiple time-delay singular systems with structural uncertainties. A linear quadratic cost function is considered as a performance measure. A sufficient condition is given in terms of LMIs (linear matrix inequalities) for the existence of the non-fragile H∞ guaranteed cost controllers in cases of both additive and multiplicative perturbation. The controller guarantees the robust stability of the closed-loop system, and the upper bound of quadratic performance index satisfies the H∞ disturbance attenuation level. A numerical example for both cases is given to illustrate the effectiveness of the theory.

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