Exact bounded-error continuous-time linear state estimator

被引:5
作者
Rohou, Simon [1 ]
Jaulin, Luc [1 ]
机构
[1] ENSTA Bretagne, UMR CNRS 6285, Lab STICC, Brest, France
关键词
Linear system; State-space equations; Interval analysis; Tubes; Time uncertainties; State estimator; SET-MEMBERSHIP DESCRIPTION; FEASIBLE PARAMETER SET; MODELS;
D O I
10.1016/j.sysconle.2021.104951
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 proposes an interval-based method for estimating the state of a linear continuous-time dynamical system. In this work, we assume that the measurements are provided at discrete times and that all errors are bounded. Interval analysis is used to propagate the interval uncertainties continuously over time. The resulting method is guaranteed to never lose any feasible solution and provides an optimal polygonal enclosure of the state trajectory. A reproducible example illustrates the principle of the method. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数:8
相关论文
共 33 条
  • [21] ESTIMATION THEORY AND UNCERTAINTY INTERVALS EVALUATION IN PRESENCE OF UNKNOWN BUT BOUNDED ERRORS - LINEAR FAMILIES OF MODELS AND ESTIMATORS
    MILANESE, M
    BELFORTE, G
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (02) : 408 - 414
  • [22] Guaranteed SLAM-An interval approach
    Mustafa, Mohamed
    Stancu, Alexandru
    Delanoue, Nicolas
    Codres, Eduard
    [J]. ROBOTICS AND AUTONOMOUS SYSTEMS, 2018, 100 : 160 - 170
  • [23] Interval State Estimation for a Class of Nonlinear Systems
    Raissi, Tarek
    Efimov, Denis
    Zolghadri, Ali
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (01) : 260 - 265
  • [24] Rauh Andreas, 2019, 2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR), P18, DOI 10.1109/MMAR.2019.8864648
  • [25] Revol N., 2002, RELIAB COMPUT, V11, P275
  • [26] Rohou S., 2021, CODAC LIB CONSTRAINT
  • [27] Reliable non-linear state estimation involving time uncertainties
    Rohou, Simon
    Jaulin, Luc
    Mihaylova, Lyudmila
    Le Bars, Fabrice
    Veres, Sandor M.
    [J]. AUTOMATICA, 2018, 93 : 379 - 388
  • [28] RECURSIVE STATE ESTIMATION - UNKNOWN BUT BOUNDED ERRORS AND SYSTEM INPUTS
    SCHWEPPE, FC
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (01) : 22 - &
  • [29] VERES SM, 1996, BOUNDING APPROACHES, P275
  • [30] Zonotopic guaranteed state estimation for uncertain systems
    Vu Tuan Hieu Le
    Stoica, Cristina
    Alamo, Teodoro
    Camacho, Eduardo F.
    Dumur, Didier
    [J]. AUTOMATICA, 2013, 49 (11) : 3418 - 3424