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

页码：104 / 111

页数：8

共 50 条

[21] Output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially-varying coefficients
Deutscher, J.
Gehring, N.
Kern, R.
INTERNATIONAL JOURNAL OF CONTROL, 2019, 92 (10) : 2274 - 2290
[22] Compensation of actuator dynamics governed by quasilinear hyperbolic PDEs
Bekiaris-Liberis, Nikolaos
Krstic, Miroslav
AUTOMATICA, 2018, 92 : 29 - 40
[23] Model Reference Adaptive Control of 2 x 2 Coupled Linear Hyperbolic PDEs
Anfinsen, Henrik
Aamo, Ole Morten
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) : 2405 - 2420
[24] Observer Design for n plus m Linear Hyperbolic ODE-PDE-ODE Systems
Auriol, Jean
Argomedo, Federico Bribiesca
IEEE CONTROL SYSTEMS LETTERS, 2022, 7 : 283 - 288
[25] STABILIZATION OF A RAYLEIGH BEAM WITH COLLOCATED PIEZOELECTRIC SENSOR/ACTUATOR
Bai, Yubo
Prieur, Christophe
Wang, Zhiqiang
EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (01): : 67 - 97
[26] Two-Sided Boundary Stabilization of Heterodirectional Linear Coupled Hyperbolic PDEs
Auriol, Jean
Di Meglio, Florent
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) : 2421 - 2436
[27] Stabilization of Switched Linear Systems Subject to Actuator Saturation via Invariant Semiellipsoids
Lian, Jie
Wu, Feiyue
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (10) : 4332 - 4339
[28] Stabilization of 2 x 2 linear hyperbolic systems with delayed feedback boundary
Boulouz, Abed
IFAC PAPERSONLINE, 2022, 55 (12): : 193 - 197
[29] Robust state-feedback stabilization of an underactuated network of interconnected n plus m hyperbolic PDE systems
Auriol, Jean
Pietri, Delphine Bresch
AUTOMATICA, 2022, 136
[30] Robust output feedback stabilization for two heterodirectional linear coupled hyperbolic PDEs
Auriol, Jean
Di Meglio, Florent
AUTOMATICA, 2020, 115

← 1 2 3 4 5 →