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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (4): 546-551    DOI: 10.1631/jzus.A071299
Electrical & Electronic Engineering     
Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays
Hui-jiao WANG, An-ke XUE, Yun-fei GUO, Ren-quan LU
Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China; Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China
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Abstract  Based on input-output approach, the robust stability and stabilization problems for uncertain singular systems with time-varying delays are investigated. The parameter uncertainties are assumed to be norm-bounded and the time-varying delays include both discrete delay and distributed delay. By introducing a new input-output model, the time-delay system is embedded in a family of systems with a forward system without time delay and a dynamical feedback uncertainty. A sufficient and necessary condition, which guarantees the system regular, impulse-free and stable for all admissible uncertainties, is obtained. Based on the strict linear matrix inequality, the desired robust state feedback controller is also obtained. Finally, a numerical example is provided to demonstrate the application of the proposed method.

Key words： Robust stability      Input-output stability      Singular system      Time-varying delay      Linear matrix inequality (LMI)     
Received: 08 June 2007      Published: 25 January 2008
CLC:  TP273  
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Hui-jiao WANG
An-ke XUE
Yun-fei GUO
Ren-quan LU
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Hui-jiao WANG, An-ke XUE, Yun-fei GUO, Ren-quan LU. Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(4): 546-551.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A071299     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I4/546

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