Stabilization and tracking control of a time-variant linear hyperbolic PIDE using backstepping

被引：7

作者：

Anfinsen, Henrik ^{[1
]}

Aamo, Ole Morten ^{[1
]}

机构：

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

来源：

AUTOMATICA | 2020年 / 116卷

关键词：

Distributed parameter systems; Hyperbolic systems; Linear systems; Boundary control; BOUNDARY; SYSTEMS; PDES;

D O I：

10.1016/j.automatica.2020.108929

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 extend previous results regarding infinite-dimensional backstepping-based controller design for linear hyperbolic partial (integro-)differential equations (P(I)DEs), and derive a state-feedback controller for a PIDE system with time-varying system parameters. The system state converges to zero in the -norm, in a finite time corresponding to the propagation time between the boundaries. Secondly, the controller is slightly modified to solve an output tracking problem. The derived controllers are demonstrated in simulations. The derived state-feedback controllers can also be combined with state observers into output-feedback controllers. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：5

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