Guaranteed state estimation by zonotopes

被引：465
|
作者：
Alamo, T
Bravo, JM
Camacho, EF
机构：
[1] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain
[2] Univ Huelva, Dept Ingn Elect Sistemas Informat & Automat, Huelva, Spain
来源：
AUTOMATICA | 2005年 / 41卷 / 06期
关键词：
non-linear observers; set-membership state estimation; interval analysis;
D O I：
10.1016/j.automatica.2004.12.008
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 presents a new approach to guaranteed state estimation for non-linear discrete-time systems with a bounded description of noise and parameters. The main result is an algorithm to compute a set that contains the states consistent with the measured output and the given noise and parameters. This set is represented by a zonotope. The size of the zonotope is minimized each sample time by an analytic expression or by solving a convex optimization problem. Interval arithmetic is used to calculate a guaranteed trajectory of the process state. Two examples have been provided to clarify the algorithm. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1035 / 1043
页数：9
相关论文
共 50 条
  • [21] GUARANTEED STATE ESTIMATION FOR DYNAMICAL-SYSTEMS - ELLIPSOIDAL TECHNIQUES
    KURZHANSKI, AB
    SUGIMOTO, K
    VALYI, I
    [J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 1994, 8 (01) : 85 - 101
  • [22] Guaranteed recursive nonlinear state estimation using interval analysis
    Kieffer, M
    Jaulin, L
    Walter, É
    [J]. PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 3966 - 3971
  • [23] EQUATIONS OF CONTINUOUS GUARANTEED ESTIMATION OF THE STATE OF DYNAMICAL-SYSTEMS
    OVSEYEVICH, AI
    TRUSHCHENKOV, VL
    CHERNOUSKO, FL
    [J]. ENGINEERING CYBERNETICS, 1984, 22 (06): : 65 - 71
  • [24] A Guaranteed State Estimation of Linear Retarded Neutral Type Systems
    Ananyev, B. I.
    [J]. APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2017, 1895
  • [25] Performance guaranteed state estimation for renewable penetration with improved meters
    Weng, Yang
    Yu, Jiafan
    Rajagopal, Ram
    [J]. JOURNAL OF ENGINEERING-JOE, 2018, (06): : 323 - 331
  • [26] Set-membership state estimation for discrete time piecewise affine systems using zonotopes
    Tabatabaeipour, S. Mojtaba
    Stoustrup, Jakob
    [J]. 2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 3149 - 3154
  • [27] A distributed Kalman filter with symbolic zonotopes and unique symbols provider for robust state estimation in CPS
    Combastel, Christophe
    Zolghadri, Ali
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (11) : 2596 - 2612
  • [28] Guaranteed State Estimation of Synchronous Generators Based on DC Programming
    Cai, Yongzhi
    Chen, Haoyong
    Assala, Pascal Dieu Seul
    Guo, Manlan
    [J]. 2014 IEEE PES ASIA-PACIFIC POWER AND ENERGY ENGINEERING CONFERENCE (IEEE PES APPEEC), 2014,
  • [29] Set-based state estimation of nonlinear systems using constrained zonotopes and interval arithmetic
    Rego, Brenner S.
    Raimondo, Davide M.
    Raffo, Guilherme V.
    [J]. 2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 1584 - 1589
  • [30] Resilient set-based state estimation for linear time-invariant systems using zonotopes
    Niazi, Muhammad Umar B.
    Alanwar, Amr
    Chong, Michelle S.
    Johansson, Karl H.
    [J]. EUROPEAN JOURNAL OF CONTROL, 2023, 74
12345