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

Yang Sun; Ming Zhu; Yifei Zhang; Tian Chen; Yang Sun; Ming Zhu; Yifei Zhang; Tian Chen

doi:10.3934/era.2025128

Electronic Research Archive

2025, Volume 33, Issue 5: 2925-2946. doi: 10.3934/era.2025128

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Research article

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

1.
School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
2.
Institute of Unmanned System, Beihang University, Beijing 100191, China

Received: 23 February 2025 Revised: 10 April 2025 Accepted: 15 April 2025 Published: 13 May 2025

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.
- adaptive control,
- incremental backstepping,
- time-delay estimation,
- stratospheric airship,
- robust control
Citation: Yang Sun, Ming Zhu, Yifei Zhang, Tian Chen. Adaptive incremental backstepping control of stratospheric airships using time-delay estimation[J]. Electronic Research Archive, 2025, 33(5): 2925-2946. doi: 10.3934/era.2025128

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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.

References

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