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A Three-step Interval Estimation Method for Discrete-Time Linear Switched Systems
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  • Zhenhua Wang,
  • Xinyang Liu,
  • Tarek RAISSI,
  • Yi Shen
Zhenhua Wang
Harbin Institute of Technology School of Astronautics

Corresponding Author:zhenhua.wang@hit.edu.cn

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Xinyang Liu
Harbin Institute of Technology School of Astronautics
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Tarek RAISSI
Conservatoire National des Arts et Metiers Bibliotheques
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Yi Shen
Harbin Institute of Technology School of Astronautics
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Abstract

This paper proposes a three-step interval estimation method in the framework of optimization for discrete-time switched systems. The proposed method is realized based on observers design via reachability analysis and measurement update. In order to obtain interval estimation, a peak-to-peak index is used to improve the robustness caused by disturbances and noise. The calculation of zonotopes and boxes is used for reachability analysis. A new iterative algorithm is proposed to reduce computational complexity. For improving estimation accuracy, a method of 1-norm optimization is proposed, which can reduce the conservatism of computing intersections.
26 Jul 2024Submitted to International Journal of Robust and Nonlinear Control
26 Jul 2024Submission Checks Completed
26 Jul 2024Assigned to Editor
26 Jul 2024Review(s) Completed, Editorial Evaluation Pending
02 Aug 2024Reviewer(s) Assigned