广义变时滞区间系统的鲁棒H∞弹性控制

广义变时滞区间系统的鲁棒H∞弹性控制

张卫,鞠培军*

泰山学院数学与系统科学系, 山东泰安 271021

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 张卫

Robust resilient H∞ control for interval singular systems with time-varying delays

ZHANG Wei, JU Pei-jun*

Department of Mathematics and System Science, Taishan University， Tai’an 271021, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHANG Wei

摘要/Abstract

摘要： 研究了一类广义变时滞区间系统的鲁棒H∞弹性控制问题.利用区间矩阵的一种等价描述形式,将所讨论的广义区间系统转化为一般的广义变时滞不确定系统,基于系统参数矩阵不等式和锥补线性化算法,得到了此类系统鲁棒弹性H∞控制器存在的充分条件。数值例子说明方法的可行性。

关键词: 广义系统, 弹性控制 , 区间矩阵

Abstract: The problem of robust resilient H∞　control of interval singular systems with time-varying delays was discussed. Using the equivalent form of interval matrix, the interval singular systems were converted to a class of uncertain singular systems with time-varying delays. A sufficient condition for the solvability of the robust resilient H∞　control in term of a matrix inequality and cone complementarity. Numerical examples were proposed to illustrate the effectiveness of the result.

Key words: resilient control , interval matrix, singular systems

中图分类号:

O231.2

张卫,鞠培军* . 广义变时滞区间系统的鲁棒H∞弹性控制[J]. J4, 2008, 43(4): 58-61 .

ZHANG Wei,JU Pei-jun* . Robust resilient H∞ control for interval singular systems with time-varying delays[J]. J4, 2008, 43(4): 58-61 .

参考文献

相关文章 6

[1]	蹇渊, 刘丁酉. 一类区间三对角矩阵特征值的确界[J]. 山东大学学报（理学版）, 2015, 50(12): 15-22.
[2]	张华平1,2,马树萍3, 范洪达1. 时变时滞不确定离散Markov跳跃广义系统的鲁棒输出反馈镇定[J]. J4, 2012, 47(1): 62-71.
[3]	张卫,鞠培军. 具有混合时滞的区间广义系统弹性鲁棒H∞控制[J]. J4, 2009, 44(1): 63-66 .
[4]	陈莉, . 非方离散广义系统的奇异LQ问题及最优代价单调性[J]. J4, 2006, 41(5): 80-83 .
[5]	陈莉, . 非方广义系统带干扰抑制的奇异LQ次优控制问题[J]. J4, 2006, 41(2): 74-77 .
[6]	张卫,鞠培军 . 含未知输入的Lipschitz非线性广义系统的观测器设计[J]. J4, 2006, 41(2): 85-88 .

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed