Boundary Parameter and State Estimation in General Linear Hyperbolic PDEs

被引：5

作者：

Anfinsen, Henrik ^{[1
]}

Diagne, Mamadon ^{[2
]}

Aamo, Ole Morten ^{[1
]}

Krstic, Miroslav ^{[3
]}

机构：

[1] Norwegian Univ Sci & Technol, Dept Engn Cybernet, N-7491 Trondheim, Norway

[2] Univ Michigan, Dept Mech Engn, Ann Arbor, MI 48109 USA

[3] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

来源：

IFAC PAPERSONLINE | 2016年 / 49卷 / 08期

关键词：

Backstepping; Swapping design; Adaptive observer; FEEDBACK STABILIZATION; DISTURBANCE REJECTION; SYSTEMS; DOMAIN;

D O I：

10.1016/j.ifacol.2016.07.426

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 develop an adaptive observer that estimates boundary parameters and the system states in general heterodirectional linear systems of m+n coupled hyperbolic partial differential equations. The observer uses boundary sensing only, and is based on the swapping design, where filters are constructed that can be used to express the system states as linear static combinations of the unknown parameters and the filters states. Standard parameter identification laws can then be applied. Proof of boundedness of the estimates is offered, and sufficient conditions ensuring exponential convergence to their true values is derived. The theory is verified in a simulation. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：104 / 110

页数：7

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