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Research Article | Open Access

Adaptive incremental backstepping control of stratospheric airships using time-delay estimation

Yang Sun1Ming Zhu2Yifei Zhang2Tian Chen2( )
School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
Institute of Unmanned System, Beihang University, Beijing 100191, China
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Abstract

This paper proposes an adaptive incremental backstepping control method for stratospheric airship attitude control that combines time delay estimation and incremental backstepping control to enhance robustness under model uncertainties. By integrating incremental control and time delay estimation, a linear time-invariant system relating to the attitude angle tracking error is obtained, where the time-delay estimation error is treated as a disturbance to the system. Meanwhile, an adaptive technique is utilized to reduce the effects of noise and center-of-gravity variations on system robustness. In conclusion, the convergence property of all signals is meticulously examined by employing Lyapunov theory. The proposed scheme is subsequently validated for effectiveness through numerical simulations.

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Electronic Research Archive
Pages 2925-2946

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Cite this article:
Sun Y, Zhu M, Zhang Y, et al. Adaptive incremental backstepping control of stratospheric airships using time-delay estimation. Electronic Research Archive, 2025, 33(5): 2925-2946. https://doi.org/10.3934/era.2025128

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Received: 23 February 2025
Revised: 10 April 2025
Accepted: 15 April 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)