Backstepping control of ODE/wave PDE cascaded systems with dynamic boundary conditions

Cai, Xiushan; Wan, Liguang; Yang, Qingsheng; Wu, Jie; Liu, Leipo

doi:10.1080/00207179.2020.1866214

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2022

2024

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Cited by 5 publications

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“…Recent years, the control design for ODE-PDE cascaded system receives more and more attentions [6][7][8]. Backstepping method, developed by Krstic, is a powerful tool for the design of exponential stability control law for ODE-PDE cascaded systems, such as ODE-Schrödinger equations by Ren, Wang and Krstic [9], Tang and Xie's ODE-heat equations [10,11], and ODE-wave equations [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Infinite‐dimensional extended state observer based stabilization for an ODE‐wave cascaded system with control matched disturbance

Mei

2023

Asian Journal of Control

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This paper focuses on the output feedback exponential stabilization for an ODE‐wave cascaded system with control matched disturbance at one end of the wave equation. We construct an infinite‐dimensional extended state observer to trace the state and estimate the total disturbance simultaneously. An estimated state and estimated total disturbance based output feedback control law is then designed. It is proved that the original system is exponentially stabilized and the whole closed‐loop system is bounded.

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