A Three‐Step Interval Estimation Method for Discrete‐Time Linear Switched Systems
ABSTRACT This article proposes a three‐step interval estimation method in the framework of optimization for discrete‐time switched systems. The proposed method is realized based on the observers design via reachability analysis and measurement update. 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.
Authors
- Tarek Raïssi (ORCID: https://orcid.org/0000-0002-8735-9395)
- Yi Shen (ORCID: https://orcid.org/0000-0002-3198-1927)
- Zhenhua Wang (ORCID: https://orcid.org/0000-0003-4923-9381)
- Xinyang Liu (ORCID: https://orcid.org/0000-0003-1235-8213)
Institutions
- Conservatoire National des Arts et Métiers (FR)
- Harbin Institute of Technology (CN)
Publication Details
- Journal
- International Journal of Robust and Nonlinear Control
- Published
- 2025-03-30
- DOI
- https://doi.org/10.1002/rnc.7949
- Citations
- 1
- Primary Topic
- Control Systems and Identification
- Type
- article
- Field-Weighted Citation Impact
- 1.21
Funders
- National Natural Science Foundation of China