Static output feedback stabilization for second-order singular systems using model reduction methods

doi:10.1007/s10483-021-2710-7

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (3): 457-466.doi: https://doi.org/10.1007/s10483-021-2710-7

• 论文 • 上一篇

Static output feedback stabilization for second-order singular systems using model reduction methods

Zheng WANG¹, Yuhao CONG^1,2, Xiulin HU³

1. Department of Mathematics, Shanghai University, Shanghai 200444, China;
2. Shanghai Customs College, Shanghai 201204, China;
3. Department of Mathematics and Physics, Hefei University, Hefei 230601, China

收稿日期:2020-10-14 修回日期:2020-12-21 发布日期:2021-02-23
通讯作者: Yuhao CONG E-mail:yhcong@shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11971303 and 11871330)

Static output feedback stabilization for second-order singular systems using model reduction methods

Zheng WANG¹, Yuhao CONG^1,2, Xiulin HU³

1. Department of Mathematics, Shanghai University, Shanghai 200444, China;
2. Shanghai Customs College, Shanghai 201204, China;
3. Department of Mathematics and Physics, Hefei University, Hefei 230601, China

Received:2020-10-14 Revised:2020-12-21 Published:2021-02-23
Contact: Yuhao CONG E-mail:yhcong@shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11971303 and 11871330)

摘要/Abstract

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.

关键词: second-order singular system, static output feedback, model reduction method, argument principle

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.

Key words: second-order singular system, static output feedback, model reduction method, argument principle

中图分类号:

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, 42(3): 457-466.

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Static output feedback stabilization for second-order singular systems using model reduction methods

Static output feedback stabilization for second-order singular systems using model reduction methods

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