Predictor control for wave PDE / nonlinear ODE cascaded system with boundary value-dependent propagation speed

Xiushan Cai; Yuhang Lin; Junfeng Zhang; Cong Lin

Kybernetika (2022)

  • Volume: 58, Issue: 3, page 400-425
  • ISSN: 0023-5954

Abstract

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This paper investigates predictor control for wave partial differential equation (PDE) and nonlinear ordinary differential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed first. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov arguments.

How to cite

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Cai, Xiushan, et al. "Predictor control for wave PDE / nonlinear ODE cascaded system with boundary value-dependent propagation speed." Kybernetika 58.3 (2022): 400-425. <http://eudml.org/doc/298881>.

@article{Cai2022,
abstract = {This paper investigates predictor control for wave partial differential equation (PDE) and nonlinear ordinary differential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed first. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov arguments.},
author = {Cai, Xiushan, Lin, Yuhang, Zhang, Junfeng, Lin, Cong},
journal = {Kybernetika},
keywords = {cascaded system; wave dynamics; boundary value-dependent; predictor control; backstepping transformation},
language = {eng},
number = {3},
pages = {400-425},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Predictor control for wave PDE / nonlinear ODE cascaded system with boundary value-dependent propagation speed},
url = {http://eudml.org/doc/298881},
volume = {58},
year = {2022},
}

TY - JOUR
AU - Cai, Xiushan
AU - Lin, Yuhang
AU - Zhang, Junfeng
AU - Lin, Cong
TI - Predictor control for wave PDE / nonlinear ODE cascaded system with boundary value-dependent propagation speed
JO - Kybernetika
PY - 2022
PB - Institute of Information Theory and Automation AS CR
VL - 58
IS - 3
SP - 400
EP - 425
AB - This paper investigates predictor control for wave partial differential equation (PDE) and nonlinear ordinary differential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed first. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov arguments.
LA - eng
KW - cascaded system; wave dynamics; boundary value-dependent; predictor control; backstepping transformation
UR - http://eudml.org/doc/298881
ER -

References

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