Finite-time H∞ control for switched systems with time-varying delay using delta operator approach

Finite-time H∞ control for switched systems with time-varying delay using delta operator approach
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DOI:
10.1007/s12555-014-0005-8
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发表时间:
2014-10
期刊:
International Journal of Control, Automation and Systems
影响因子:
--
通讯作者:
Chen Qin;Z. Xiang;H. Karimi
Chen Qin;Z. Xiang;H. Karimi
中科院分区:
其他
文献类型:
--
作者:
Chen Qin;Z. Xiang;H. Karimi

文献摘要

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利用Delta算子方法研究了时变时滞切换系统的有限时间H-∞控制问题。首先,利用平均驻留时间方法和Delta算子理论,得到了基本系统∞有限时间有界性的充分条件。然后提出了一个状态反馈控制器,使得所得到的闭环系统是∞有界的。所有的结果都是用线性矩阵不等式(LMI)表示的。最后给出了一个算例,验证了所提结果的有效性。
Finite-timeH∞control for switched systems with time-varying delay using delta operator approach is investigated in this paper. Firstly, by using the average dwell time approach and delta operator theory, sufficient conditions forH∞finite-time boundedness of the underlying systems are derived. Then a state feedback controller is proposed such that the resulting closed-loop system isH∞finite-time bounded. All the obtained results are formulated in terms of linear matrix inequalities (LMIs). Finally, an example is presented to show the validity of the proposed results.