| 一类不确定系统的鲁棒稳定性分析 |
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| 引用本文： | 申涛, 王孝红, 袁铸钢. 一类不确定系统的鲁棒稳定性分析. 自动化学报, 2007, 33(4): 426-427. doi: 10.1360/aas-007-0426 |
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| 作者姓名： | 申涛 王孝红 袁铸钢 |
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| 作者单位： | 1.济南大学控制科学与工程学院 济南 250022 |
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| 摘 要： | 研究了一类不确定系统的稳定性问题, 以线性矩阵不等式(LMI)的形式给出了该类系统的鲁棒稳定条件, 并将该结果推广到区间系统的稳定性分析, 提出了研究区间系统稳定性问题的新方法, 给出了线性矩阵不等式形式的稳定判据, 该判据将区间系统的稳定性问题转化为一类线性矩阵不等式的可解问题. 最后通过仿真算例验证了本文结果具有更小的保守性.
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| 关 键 词： | 区间系统 线性矩阵不等式(LMI) 鲁棒稳定性 |
| 收稿时间： | 2005-09-06 |
| 修稿时间： | 2006-10-27 |
Robust Stability for a Class of Uncertain Systems |
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| SHEN Tao, WANG Xiao-Hong, YUAN Zhu-Gang. Robust Stability for a Class of Uncertain Systems. ACTA AUTOMATICA SINICA, 2007, 33(4): 426-427. doi: 10.1360/aas-007-0426 |
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| Authors: | SHEN Tao WANG Xiao-Hong YUAN Zhu-Gang |
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| Affiliation: | 1. School of Control Theory and Engineering, University of Jinan, Jinan 250022 |
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| Abstract: | This paper studies the robust stability for a class of uncertain systems.The sufficient stability conditions for these systems are given in the form of linear matrix inequality(LMI). And these results are further applied to the analysis of the robust stability for the interval systems.The criteria of robust stabil- ity for interval systems are presented.The problem of robust stability for interval systems can be transformed into a problem of solvability of a class of LMIs.Numerical examples show that our results are less conservative than the conventional ones. |
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| Keywords: | Interval system linear matrix inequality(LMI) robust stability |
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