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
相关论文
共 50 条
  • [41] The Stabilization of Switched Linear Systems Subject to Actuator Saturation
    Jing, Li
    Yang, Jin
    Du, Hongbo
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 4146 - 4148
  • [42] Observer design and output feedback stabilization for nonlinear multivariable systems with diffusion PDE-governed sensor dynamics
    Wu, Huai-Ning
    Wang, Jun-Wei
    NONLINEAR DYNAMICS, 2013, 72 (03) : 615 - 628
  • [43] Dynamics of generalized hyperbolic linear operators
    Cirilo, Patricia
    Gollobit, Bryce
    Pujals, Enrique
    ADVANCES IN MATHEMATICS, 2021, 387
  • [44] SYSTEMS OF HYPERBOLIC PDE
    SMITH, RR
    MCCALL, D
    COMMUNICATIONS OF THE ACM, 1970, 13 (09) : 567 - &
  • [45] Single-step feedback linearization with assignable dynamics for hyperbolic PDE
    Aksikas, Ilyasse
    Dubljevic, Stevan
    2015 23RD MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2015, : 1180 - 1185
  • [46] Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance
    Zhou, Hua-Cheng
    Guo, Bao-Zhu
    INTERNATIONAL JOURNAL OF CONTROL, 2019, 92 (01) : 12 - 26
  • [47] Prescribed Time Stabilization of ODEs with Diffusive Actuator Dynamics
    Steeves, Drew
    Krstic, Miroslav
    IFAC PAPERSONLINE, 2021, 54 (09): : 434 - 439
  • [48] Online policy iteration algorithm for optimal control of linear hyperbolic PDE systems
    Luo, Biao
    Wu, Huai-Ning
    JOURNAL OF PROCESS CONTROL, 2012, 22 (07) : 1161 - 1170
  • [49] Output regulation and tracking for linear ODE-hyperbolic PDE–ODE systems
    Redaud, Jeanne
    Bribiesca-Argomedo, Federico
    Auriol, Jean
    Automatica, 2024, 162
  • [50] Online policy iteration algorithm for optimal control of linear hyperbolic PDE systems
    Science and Technology on Aircraft Control Laboratory, School of Automation Science and Electrical Engineering, Beihang University , Beijing 100191, China
    J Process Control, 1600, 7 (1161-1170):
12345