STATIC OUTPUT FEEDBACK DESIGN USING MODEL REDUCTION METHODS FOR SECOND-ORDER SYSTEMS

Yuhao Cong; Zheng Wang

doi:10.11948/20200241

2021 Volume 11 Issue 4

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Yuhao Cong, Zheng Wang. STATIC OUTPUT FEEDBACK DESIGN USING MODEL REDUCTION METHODS FOR SECOND-ORDER SYSTEMS[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1852-1867. doi: 10.11948/20200241

Citation:

Yuhao Cong, Zheng Wang. STATIC OUTPUT FEEDBACK DESIGN USING MODEL REDUCTION METHODS FOR SECOND-ORDER SYSTEMS[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1852-1867. doi: 10.11948/20200241

STATIC OUTPUT FEEDBACK DESIGN USING MODEL REDUCTION METHODS FOR SECOND-ORDER SYSTEMS

Yuhao Cong^1,2,
Zheng Wang^1, ,

1.
Department of Mathematics, Shanghai University, 99 ShangDa Road, Shanghai 200444, China
2.
Shanghai Customs College, 5677 Huaxia West Road, Shanghai 201204, China

Corresponding author: Email: wzheng2017@shu.edu.cn(Z. Wang)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11971303, 11871330)

Abstract

Abstract

In this paper, the static output feedback design is investigated using model reduction methods for large-scale second-order systems. First, based on the second-order Krylov subspace method, a low dimensional structure-preserving second-order system is derived. Then, applying matrix transformation, the relationship between input variables and output variables is directly established in the low dimensional system. We design output feedback controller for this system. Finally, using the argument principle, a computable stability criterion is presented to check the stability of the closed-loop system. Furthermore, a numerical algorithm is provided to design the output feedback controller for large-scale second-order systems. Numerical examples are given to illustrate the effectiveness of the algorithms.
- Second-order systems /
- static output feedback /
- model reduction methods /
- argument principle

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References

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