Stabilization of a linear hyperbolic PDE with actuator and sensor dynamics

被引：17
|
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 | 2018年 / 95卷
关键词：
Distributed parameter systems; Hyperbolic systems; Linear systems; Boundary control; OUTPUT-FEEDBACK STABILIZATION; SYSTEMS; STABILITY;
D O I：
10.1016/j.automatica.2018.05.019
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 a scalar 1-D linear hyperbolic partial differential equation (PDE) for which infinite dimensional backstepping controllers have previously been designed based on boundary actuation and sensing, and incorporate first order actuator and sensor dynamics into the design. Two observer designs are proposed, and combined with a state-feedback into output-feedback control laws which render the origin of the closed-loop system exponentially stable with arbitrary convergence rate. The theory is verified in simulations. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：104 / 111
页数：8
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