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.

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页数：11

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