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

被引：0

作者：

Wang, Zhenhua ^{[1
]}

Liu, Xinyang ^{[1
]}

Raissi, Tarek ^{[2
]}

Shen, Yi ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Astronaut, Harbin, Peoples R China

[2] Conservatoire Natl Arts & Metiers CNAM, Cedr Lab, Paris, France

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2025年 / 35卷 / 11期

基金：

中国国家自然科学基金;

关键词：

interval estimation; observer design; optimization; switched systems; STATE ESTIMATION; OBSERVER DESIGN;

D O I：

10.1002/rnc.7949

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：4901 / 4912

页数：12

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