Fast interval estimation for discrete-time systems based on fixed-time convergence

被引:0
作者
Wang, Zhenhua [1 ]
Dinh, Thach Ngoc [2 ]
Zhang, Qinghua [3 ]
Raissi, Tarek [2 ]
Shen, Yi [1 ]
机构
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
[2] Cedr Lab, Conservatoire Natl Arts & Metiers CNAM, F-75141 Paris, France
[3] Univ Gustave Eiffel, INRIA, COSYS SII, I4S, F-35042 Rennes, France
基金
中国国家自然科学基金;
关键词
Interval estimation; discrete-time systems; fixed-time; optimization; OBSERVER DESIGN; STATE ESTIMATION; FAULT-DETECTION;
D O I
10.1016/j.ifacol.2020.12.481
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 studies interval estimation for discrete-time linear systems with unknown but bounded disturbance and measurement noise. Inspired by the well-known parity space approach in the field of fault diagnosis, we propose a fast interval estimation method with fixed-time convergence property. A singular value decomposition-based parameter optimization algorithm is used to attenuate the effect of uncertainties on the estimation error. Comparison study illustrates the superiority of the proposed method over existing technique. Copyright (C) 2020 The Authors.
引用
收藏
页码:4571 / 4575
页数:5
相关论文
共 22 条
[1]   Robust MPC of constrained discrete-time nonlinear systems based on approximated reachable sets [J].
Bravo, J. M. ;
Alamo, T. ;
Camacho, E. F. .
AUTOMATICA, 2006, 42 (10) :1745-1751
[2]  
Ding SX, 2013, ADV IND CONTROL, P3, DOI 10.1007/978-1-4471-4799-2_1
[3]   A continuous-time observer which converges in finite time [J].
Engel, R ;
Kreisselmeier, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) :1202-1204
[4]   Interval observers for uncertain biological systems [J].
Gouzé, JL ;
Rapaport, A ;
Hadj-Sadok, MZ .
ECOLOGICAL MODELLING, 2000, 133 (1-2) :45-56
[5]   High gain observer based on a triangular structure [J].
Hammouri, H ;
Targui, B ;
Armanet, F .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2002, 12 (06) :497-518
[6]  
Kalman RE., 1960, Transactions of the ASMEJournal of Basic Engineering, V82, P35, DOI [DOI 10.1115/1.3662552, 10.1115/1.3662552]
[7]   Observer design for unknown input nonlinear descriptor systems via convex optimization [J].
Koenig, Damien .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (06) :1047-1052
[8]  
Lopez-Ramirez F, 2016, 2016 EUROPEAN CONTROL CONFERENCE (ECC), P289, DOI 10.1109/ECC.2016.7810300
[9]   Fixed-time observer with simple gains for uncertain systems [J].
Menard, Tomas ;
Moulay, Emmanuel ;
Perruquetti, Wilfrid .
AUTOMATICA, 2017, 81 :438-446
[10]   Interval State Estimation for a Class of Nonlinear Systems [J].
Raissi, Tarek ;
Efimov, Denis ;
Zolghadri, Ali .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (01) :260-265