| Static output feedback stabilization for second-order singular systems using model reduction methods |
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| 作者姓名： | Zheng WANG Yuhao CONG Xiulin HU |
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| 作者单位： | Department of Mathematics;Shanghai Customs College;Department of Mathematics and Physics |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Nos.11971303 and 11871330)。 |
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| 摘 要： | In this paper,the static output feedback stabilization for large-scale unstable second-order singular systems is investigated.First,the upper bound of all unstable eigenvalues of second-order singular systems is derived.Then,by using the argument principle,a computable stability criterion is proposed to check the stability of secondorder singular systems.Furthermore,by applying model reduction methods to original systems,a static output feedback design algorithm for stabilizing second-order singular systems is presented.A simulation example is provided to illustrate the effectiveness of the design algorithm.
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| 关 键 词： | second-order singular system static output feedback model reduction method argument principle |
Static output feedback stabilization for second-order singular systems using model reduction methods |
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| Zheng WANG,Yuhao CONG,Xiulin HU.Static output feedback stabilization for second-order singular systems using model reduction methods[J].Applied Mathematics and Mechanics(English Edition),2021(3):457-466. |
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| Abstract: | In this paper, the static output feedback stabilization for large-scale unstable second-order singular systems is investigated. First, the upper bound of all unstable eigenvalues of second-order singular systems is derived. Then, by using the argument principle, a computable stability criterion is proposed to check the stability of secondorder singular systems. Furthermore, by applying model reduction methods to original systems, a static output feedback design algorithm for stabilizing second-order singular systems is presented. A simulation example is provided to illustrate the effectiveness of the design algorithm. |
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