东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2012, Vol. 33 ›› Issue (3): 305-309.DOI: -

• 论著 •    下一篇

非线性广义离散区间系统的鲁棒非脆弱H_∞控制

苏晓明;刘芳玲;   

  1. 东北大学理学院;沈阳工业大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(61074005)

Robust and non-fragile H∞ control for nonlinear descriptor discrete interval systems

Su, Xiao-Ming (1); Liu, Fang-Ling (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China; (2) School of Science, Shenyang University of Technology, Shenyang 110087, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Liu, F.-L.
  • About author:-
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摘要： 研究一类含有非线性扰动的广义离散区间系统的鲁棒非脆弱H∞控制问题,所研究的非线性扰动满足Lipschitz条件.首先,利用Lyapunov函数理论,研究不确定非线性广义系统的鲁棒H∞控制问题;其次,以线性矩阵不等式(LMI)形式,给出了系统鲁棒非脆弱H∞控制器存在的充分条件,使得对于所有容许不确定性,闭环系统都允许且H∞性能指标满足给定上界.同时,给出状态反馈控制器的设计方法;最后,用数值例子表明了所提出方法的有效性.

关键词: 非线性, 广义离散区间系统, 非脆弱H∞控制, Lyapunov函数, 线性矩阵不等式(LMI)

Abstract: The problem of robust and non-fragile H∞ control for a class of descriptor discrete interval systems with nonlinear disturbance was studied, where the nonlinear disturbance satisfies the Lipschitz condition. First of all, based on the theory of Lyapunov function, the robust H∞ control problem of the uncertain nonlinear descriptor system was described; Secondly, a sufficient condition for the existence of robust and non-fragile H∞ controller was given by linear matrix inequality approach, which guarantees that the resulting closed-loop descriptor system is admissible and satisfies a prescribed H∞ norm-bounded constrain for all admissible uncertainties. Meanwhile, the design method of the state feedback controller was proposed. Finally, numerical simulation results indicated the effectiveness of the developed method.

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