Robust observer design for discrete-time locally one-sided Lipschitz systems

被引:2
|
作者
Coutinho, Daniel [1 ]
Schons, Silvane [1 ,2 ]
Couto, Luis D. [2 ]
Kinnaert, Michel [2 ]
机构
[1] Univ Fed Santa Catarina, DAS, POB 476, BR-88040900 Florianopolis, SC, Brazil
[2] ULB, Dept Control Engn & Syst Anal SAAS, B-1050 Brussels, Belgium
关键词
Robust estimation; One-sided Lipschitz discrete-time systems; l(infinity)-induced system norm; LMI; Reachable set estimate; LITHIUM-ION BATTERIES; NONLINEAR-SYSTEMS; STATE; STABILITY;
D O I
10.1016/j.ejcon.2019.11.001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The robust estimation of discrete-time one-sided Lipschitz systems is considered. A linear matrix inequality based approach is presented to design a nonlinear state observer such that the input-to-state stability of the estimation error is locally guaranteed while minimizing an upper-bound on the l(infinity)-induced system norm from the disturbance input to the error system performance output. The effectiveness of the approach is demonstrated in simulation for several numerical examples. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:43 / 51
页数:9
相关论文
共 50 条
  • [1] Observer design for one-sided Lipschitz discrete-time systems
    Benallouch, Mohamed
    Boutayeb, Mohamed
    Zasadzinski, Michel
    SYSTEMS & CONTROL LETTERS, 2012, 61 (09) : 879 - 886
  • [2] OBSERVER DESIGN FOR ONE-SIDED LIPSCHITZ DISCRETE-TIME SYSTEMS SUBJECT TO DELAYS AND UNKNOWN INPUTS
    Minh Cuong Nguyen
    Hieu Trinh
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (03) : 1585 - 1601
  • [3] Robust observer design of one-sided Lipschitz nonlinear systems
    El Haiek, Badreddine
    El Aiss, Hicham
    Hmamed, Abdelaziz
    El Hajjaji, Ahmed
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 5250 - 5255
  • [4] Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay
    Minh Cuong Nguyen
    Hieu Trinh
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 286 : 57 - 71
  • [5] Robust generalized observer design for uncertain one-sided Lipschitz systems
    Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan
    不详
    Appl. Math. Comput., 2020,
  • [6] Nonlinear H∞ observer design for one-sided Lipschitz discrete-time singular systems with time-varying delay
    Yang, Yuxia
    Lin, Chong
    Chen, Bing
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (01) : 252 - 267
  • [7] Robust generalized observer design for uncertain one-sided Lipschitz systems
    Shaheen, Bilal
    Nazir, Muhammad Shahid
    Rehan, Muhammad
    Ahmad, Sohaira
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 365
  • [8] Robust observer design for uncertain one-sided Lipschitz systems with disturbances
    Nguyen, Cuong M.
    Pathirana, Pubudu N.
    Hieu Trinh
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (04) : 1366 - 1380
  • [9] Observer design for one-sided Lipschitz discrete-time switched non-linear systems under asynchronous switching
    Nemati, Maryam
    Koofigar, Hamid Reza
    Ataei, Mohammad
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (04) : 1163 - 1179
  • [10] H∞ OBSERVER-BASED CONTROL FOR DISCRETE-TIME ONE-SIDED LIPSCHITZ SYSTEMS WITH UNKNOWN INPUTS
    Benallouch, Mohamed
    Boutayeb, M.
    Trinh, H.
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (06) : 3751 - 3775