Adaptive observer design for wave PDEs with nonlinear dynamics and parameter uncertainty

被引：25
|
作者：
Benabdelhadi, Abdeljalil [1 ]
Giri, Fouad [2 ]
Ahmed-Ali, Tarek [2 ]
Krstic, Miroslav [3 ]
El Fadil, Hassan [1 ]
Chaoui, Fatima-Zahra [4 ]
机构：
[1] Ibn Tofail Univ, ISA Lab, ENSA, Kenitra 14000, Morocco
[2] Normandie Univ, UNICAEN, ENSICAEN, LAC, F-14000 Caen, France
[3] Univ Calif San Diego, La Jolla, CA 92093 USA
[4] Univ Mohammed 5, ENSET, Rabat 10000, Morocco
来源：
AUTOMATICA | 2021年 / 123卷
关键词：
OUTPUT-FEEDBACK STABILIZATION; UNSTABLE PARABOLIC PDES; DISTURBANCE REJECTION; BOUNDARY PARAMETER; HYPERBOLIC SYSTEMS; EQUATION; SUBJECT; DOMAIN;
D O I：
10.1016/j.automatica.2020.109295
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the problem of state observer design for wave PDEs containing Lipschitz nonlinearities in the domain and parameter uncertainties in the domain and at the boundaries. Using the decouplingtransformation design approach, we develop an adaptive boundary observer consisting of a state observer, a least-squares type parameter adaptive law, and a hyperbolic auxiliary filter. Using Lyapunov stability analysis, we show that the observer is exponentially convergent under a persistent excitation condition. The novelty is twofold: (i) the class of systems is much wider than those studied in previous works, it particularly accounts for structured disturbances acting on the domain and all boundaries; (ii) the proposed adaptive observer is quite different from existing ones for wave-type PDEs. (c) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：11
相关论文
共 50 条
  • [31] Nonlinear adaptive observer design for uncertain dynamical systems
    Vargas, JAR
    Hemerly, EM
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 1307 - 1308
  • [32] Adaptive observer design with unknown inputs for nonlinear systems
    Zhu F.
    Jiang P.
    Li X.
    Tongji Daxue Xuebao/Journal of Tongji University, 2016, 44 (09): : 1444 - 1449
  • [33] Adaptive Observer Design for a Class of MIMO Nonlinear Systems
    Zhao Lili
    Li Xiuliang
    Li Ping
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 2198 - 2203
  • [34] Adaptive observer design for a class of nonlinear descriptor systems✩
    Alma, Marouane
    Darouach, Mohamed
    Ali, Harouna Souley
    AUTOMATICA, 2023, 155
  • [35] Adaptive observer design for uncertain stochastic nonlinear systems
    Zhang, Li-Jun
    Yang, Li-Xin
    Jia, He-Ming
    Kongzhi yu Juece/Control and Decision, 2012, 27 (10): : 1552 - 1556
  • [36] Adaptive Observer Design for a Class of Lipschitz Nonlinear Systems
    Wang Hui
    Dong Yali
    Qin Wen
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 665 - 669
  • [37] Adaptive observer design for nonlinear systems with nonparametric uncertainties
    Chen, Peng-Nian
    Qin, Hua-Shu
    Zhang, Jie
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2010, 27 (02): : 147 - 151
  • [38] Adaptive observer design for a class of descriptor nonlinear systems
    Sassi, Ahlem
    Ali, Harouna Souley
    Zasadzinski, Michel
    Abderrahim, Kamel
    EUROPEAN JOURNAL OF CONTROL, 2018, 44 : 90 - 102
  • [39] An adaptive observer design methodology for bounded nonlinear processes
    Hovakimyan, N
    Calise, AJ
    Madyastha, VK
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 4700 - 4705
  • [40] NONLINEAR ADAPTIVE OBSERVER DESIGN FOR AN ELECTROMECHANICAL ROTATIVE PLANT
    Zhu, Jiang
    Khayati, Karim
    2011 24TH CANADIAN CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING (CCECE), 2011, : 385 - 388
12345