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

Zheng WANG, Yuhao CONG, Xiulin HU

doi:10.1007/s10483-021-2710-7

Applied Mathematics and Mechanics >

2021 , Vol. 42 >Issue 3: 457 - 466

DOI: https://doi.org/10.1007/s10483-021-2710-7

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

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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 date: 2020-10-14

Revised date: 2020-12-21

Online published: 2021-02-23

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11971303 and 11871330)

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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.

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

Cite this article

Zheng WANG, Yuhao CONG, Xiulin HU . Static output feedback stabilization for second-order singular systems using model reduction methods[J]. Applied Mathematics and Mechanics, 2021 , 42(3) : 457 -466 . DOI: 10.1007/s10483-021-2710-7

References

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