Iterative Proportional-Integral Interval Estimation of Linear Discrete-Time Systems

被引：41

作者：

Shen, Mouquan ^{[1
,2
]}

Zhang, Tu ^{[1
]}

Park, Ju H. ^{[2
]}

Wang, Qing-Guo ^{[3
,4
]}

Li, Li-Wei ^{[1
]}

机构：

[1] Nanjing Tech Univ, Coll Elect Engn & Control Sci, Nanjing 211816, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, Kyonsan 38541, South Africa

[3] Beijing Normal Univ, Inst Artificial Intelligence & Future Networks, Zhuhai 519087, Peoples R China

[4] HKBU United Int Coll, Guangdong Key Lab AI & Multimodal Data Proc, BNU, Zhuhai 519087, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 07期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Terms-Linear systems; robust control; state estimation; STATE ESTIMATION; DYNAMICAL-SYSTEMS; UNKNOWN INPUT; OBSERVERS; PARAMETER; ZONOTOPES;

D O I：

10.1109/TAC.2022.3203226

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An iterative proportional-integral interval estimation strategy for linear discrete-time systems is investigated in this article. A sequence iterative proportional-integral observer is built on system output and unknown disturbance iterative estimation. With the help of a structure separation technique, a sufficient condition in terms of linear matrix inequality is proposed to make the observer error system be asymptotically stable. The boundary reachability of the observer error system is analyzed via zonotope. The zonotope-based iterative algorithms, with and without the output integral, are built to generate estimated state intervals. Compared with the existing result, the proposed algorithms render tighter estimation intervals illustrated by a simulation study.

引用

页码：4249 / 4256

页数：8

共 40 条

[1] Guaranteed state estimation by zonotopes [J].

Alamo, T ;

Bravo, JM ;

Camacho, EF .

AUTOMATICA, 2005, 41 (06) :1035-1043

[2] Secure State Estimation Against Sparse Sensor Attacks With Adaptive Switching Mechanism [J].

An, Liwei ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) :2596-2603

[3]

Boyd S., 1997, LINEAR MATRIX INEQUA, DOI [10.1137/1.9781611970777, DOI 10.1137/1.9781611970777]

[4] Observed-Mode-Dependent State Estimation of Hidden Semi-Markov Jump Linear Systems [J].

Cai, Bo ;

Zhang, Lixian ;

Shi, Yang .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (01) :442-449

[5] Applying discrete-time proportional integral observers for state and disturbance estimations [J].

Chang, JL .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (05) :814-818

[6] Energy-Efficient Data Forwarding for State Estimation in Multi-HopWireless Sensor Networks [J].

Cheng, Peng ;

Qi, Yifei ;

Xin, Kefei ;

Chen, Jiming ;

Xie, Lihua .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (05) :1322-1327

[7] Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence [J].

Combastel, Christophe .

AUTOMATICA, 2015, 55 :265-273

[8] Design of interval observers for uncertain dynamical systems [J].

Efimov, D. ;

Raissi, T. .

AUTOMATION AND REMOTE CONTROL, 2016, 77 (02) :191-225

[9] Interval Observers for Time-Varying Discrete-Time Systems [J].

Efimov, Denis ;

Perruquetti, Wilfrid ;

Raissi, Tarek ;

Zolghadri, Ali .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (12) :3218-3224

[10] Interval state observer for nonlinear time varying systems [J].

Efimov, Denis ;

Raissi, Tarek ;

Chebotarev, Stanislav ;

Zolghadri, Ali .

AUTOMATICA, 2013, 49 (01) :200-205

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