Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation

Xiushan Cai; Yuhang Lin; Cong Lin; Leipo Liu

Kybernetika (2024)

  • Volume: 60, Issue: 6, page 797-818
  • ISSN: 0023-5954

Abstract

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We investigate Korteweg-de Vries-Burgers (KdVB) equation, where the dissipation and dispersion coefficients are unknown, but their lower bounds are known. First, we establish dynamic boundary controls with update laws to globally exponentially stabilize this uncertain system. Secondly, we demonstrate that the dynamic boundary control design is suboptimal to a meaningful functional after some minor modifications of the dynamic boundary controls. In addition, we also consider dynamic boundary controls for the case of unknown dissipation or dispersion coefficients, and obtain corresponding results. Finally, three examples are used to demonstrate the effectiveness of the proposed control design.

How to cite

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Cai, Xiushan, et al. "Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation." Kybernetika 60.6 (2024): 797-818. <http://eudml.org/doc/299888>.

@article{Cai2024,
abstract = {We investigate Korteweg-de Vries-Burgers (KdVB) equation, where the dissipation and dispersion coefficients are unknown, but their lower bounds are known. First, we establish dynamic boundary controls with update laws to globally exponentially stabilize this uncertain system. Secondly, we demonstrate that the dynamic boundary control design is suboptimal to a meaningful functional after some minor modifications of the dynamic boundary controls. In addition, we also consider dynamic boundary controls for the case of unknown dissipation or dispersion coefficients, and obtain corresponding results. Finally, three examples are used to demonstrate the effectiveness of the proposed control design.},
author = {Cai, Xiushan, Lin, Yuhang, Lin, Cong, Liu, Leipo},
journal = {Kybernetika},
language = {eng},
number = {6},
pages = {797-818},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation},
url = {http://eudml.org/doc/299888},
volume = {60},
year = {2024},
}

TY - JOUR
AU - Cai, Xiushan
AU - Lin, Yuhang
AU - Lin, Cong
AU - Liu, Leipo
TI - Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
VL - 60
IS - 6
SP - 797
EP - 818
AB - We investigate Korteweg-de Vries-Burgers (KdVB) equation, where the dissipation and dispersion coefficients are unknown, but their lower bounds are known. First, we establish dynamic boundary controls with update laws to globally exponentially stabilize this uncertain system. Secondly, we demonstrate that the dynamic boundary control design is suboptimal to a meaningful functional after some minor modifications of the dynamic boundary controls. In addition, we also consider dynamic boundary controls for the case of unknown dissipation or dispersion coefficients, and obtain corresponding results. Finally, three examples are used to demonstrate the effectiveness of the proposed control design.
LA - eng
UR - http://eudml.org/doc/299888
ER -

References

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