An iterative interval estimation approach to nonlinear discrete-time systems

被引:0
作者
Zhang, Tu [1 ]
Zhang, Guobao [1 ]
Huang, Yongming [1 ]
机构
[1] Southeast Univ, Sch Automat, Sipailoust, Nanjing 210096, Peoples R China
关键词
Interval estimation; nonlinear systems; robust control; linear matrix inequality; STATE ESTIMATION; LINEAR-SYSTEMS; SET-MEMBERSHIP; OBSERVERS; PARADIGMS; ZONOTOPES; DESIGN;
D O I
10.1177/09596518241249876
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 is devoted to the iterative interval estimation for nonlinear discrete-time systems. To reconstruct the system state, a sequence of iterative observers is established based on the iterative disturbance estimation and measured output. By means of the Lipschitz condition and H infinity technique, sufficient conditions are built by the Lyapunov function method to make observation errors convergent. Resorting to the zonotope-based reachability analysis, the reachable set of nonlinear terms and observation errors are analyzed such that the state interval can be supplied. The presented approach is validated by a simulation comparison.
引用
收藏
页码:1837 / 1844
页数:8
相关论文
共 33 条
  • [1] Guaranteed state estimation by zonotopes
    Alamo, T
    Bravo, JM
    Camacho, EF
    [J]. AUTOMATICA, 2005, 41 (06) : 1035 - 1043
  • [2] Energy-Efficient Data Forwarding for State Estimation in Multi-HopWireless Sensor Networks
    Cheng, Peng
    Qi, Yifei
    Xin, Kefei
    Chen, Jiming
    Xie, Lihua
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (05) : 1322 - 1327
  • [3] An Extended Zonotopic and Gaussian Kalman Filter (EZGKF) merging set-membership and stochastic paradigms: Toward non-linear filtering and fault detection
    Combastel, Christophe
    [J]. ANNUAL REVIEWS IN CONTROL, 2016, 42 : 232 - 243
  • [4] Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence
    Combastel, Christophe
    [J]. AUTOMATICA, 2015, 55 : 265 - 273
  • [5] Functional interval observers for nonlinear fractional-order systems with time-varying delays and disturbances
    Dao Thi Hai Yen
    Dinh Cong Huong
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2021, 235 (04) : 550 - 562
  • [6] Design of interval observers for uncertain dynamical systems
    Efimov, D.
    Raissi, T.
    [J]. AUTOMATION AND REMOTE CONTROL, 2016, 77 (02) : 191 - 225
  • [7] Control of Nonlinear and LPV Systems: Interval Observer-Based Framework
    Efimov, Denis
    Raissi, Tarek
    Zolghadri, Ali
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (03) : 773 - 778
  • [8] Girard A, 2006, LECT NOTES COMPUT SC, V3927, P257
  • [9] Interval observers for uncertain biological systems
    Gouzé, JL
    Rapaport, A
    Hadj-Sadok, MZ
    [J]. ECOLOGICAL MODELLING, 2000, 133 (1-2) : 45 - 56
  • [10] Hardy GH., 1952, Inequalities