Interval estimation of state and unknown input for linear discrete-time systems

被引：11

作者：

Li, Jitao ^{[1
]}

Raissi, Tarek ^{[2
]}

Wang, Zhenhua ^{[1
]}

Wang, Xinsheng ^{[3
]}

Shen, Yi ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China

[2] Conservatoire Natl Arts & Metiers CNAM, F-75141 Paris, France

[3] Harbin Inst Technol Weihai, Sch Informat & Elect Engn, Weihai 264209, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 13期

基金：

中国国家自然科学基金;

关键词：

ROBUST FAULT ESTIMATION; OBSERVER DESIGN; NONLINEAR-SYSTEMS; ZONOTOPES;

D O I：

10.1016/j.jfranklin.2020.06.021

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 addresses the problem of state and unknown input estimation for linear discrete-time systems subject to unknown but bounded process disturbance and measurement noise. The existing methods treat this problem based on coordinate transformation, which is complex and may incorporate some conservatism. Unlike the existing methods, we estimate the state and unknown input simultaneously based on an augmented approach. Then a novel observer structure and an L-infinity norm based approach are presented to obtain a tight interval of estimation. The viability and validity of the proposed method are demonstrated by numerical simulations. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：9045 / 9062

页数：18

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