Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays |
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| Authors: | Hui-jiao Wang An-ke Xue Yun-fei Guo Ren-quan Lu |
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| Institution: | [1]Institute of Automation, Zhej iang Sci- Tech University, Hangzhou 310018, China [2]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. |
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| Keywords: | Robust stability Input-output stability Singular system Time-varying delay Linear matrix inequality (LMI) |
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