Work

A Three‐Step Interval Estimation Method for Discrete‐Time Linear Switched Systems

Year: 2025

Type: article

Abstract: 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.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.7949

Authors: Zhenhua Wang, Xinyang Liu, Tarek Raïssi, Yi Shen

Institutions: Harbin Institute of Technology, Conservatoire National des Arts et Métiers, Centre d'études et de recherche en informatique et communications

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $4,270

Funder: National Natural Science Foundation of China