Interval Estimation Methods for Discrete-Time Linear Time-Invariant Systems

被引：115
|
作者：
Tang, Wentao [1 ]
Wang, Zhenhua [1 ]
Wang, Ye [2 ]
Raissi, Tarek [3 ]
Shen, Yi [1 ]
机构：
[1] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Heilongjiang, Peoples R China
[2] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China
[3] Conservatoire Natl Arts & Metiers, F-75141 Paris, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Interval estimation; linear systems; reachability analysis; robust observer; GUARANTEED STATE ESTIMATION; SET-MEMBERSHIP; OBSERVER; ZONOTOPES; PARADIGMS; DESIGN;
D O I：
10.1109/TAC.2019.2902673
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 paper investigates interval estimation methods for discrete-time linear time-invariant systems. We propose a novel interval estimation method by integrating robust observer design with reachability analysis. By introducing H-infinity design into interval estimation, the proposed method is effective in improving the accuracy of interval estimation. Moreover, the comparisons and relationships between the existing methods and the proposed method are discussed in detail. Finally, simulation results are presented to demonstrate the effectiveness of the proposed method.
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页码：4717 / 4724
页数：8
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