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Second order sliding mode control with proportional integral observer for wing rock

Mahmood, Ahmad; Iqbal, Jamshed

Authors

Ahmad Mahmood



Abstract

In this study, a reduced-order fast proportional integral (PI) observer with a fast convergence function based on the equivalent control notion is developed to estimate the side slip angle β. An unknown state can be discovered by forcing the PI term on the state error, which is the difference between the real and estimated states. A second order sliding mode control (SOSMC) based on a proposed nonlinear sliding manifold is designed to achieve improved transient response and control performance by robustness. The proposed sliding manifold ensures the convergence of the roll angle in finite time. To validate the assertion regarding the proposed SOSMC, classical SOSMC and proportional integral derivative (PID) SOSMC are simulated both in the absence and presence of disturbances. The simulation results show that the proposed SOSMC over-performs in terms of achieving the desired response in both cases. Additionally, a numerical analysis is also performed for both scenarios to evaluate the effectiveness of the proposed controller in terms of the power consumption of the control law and burden on the aileron control surface. Finally, Monte Carlo simulations are performed to demonstrate the robustness of the proposed controller against external disturbances.

Citation

Mahmood, A., & Iqbal, J. (2025). Second order sliding mode control with proportional integral observer for wing rock. Systems Science and Control Engineering, 13(1), Article 245224779. https://doi.org/10.1080/21642583.2025.2460427

Journal Article Type Article
Acceptance Date Jan 26, 2025
Online Publication Date Feb 6, 2025
Publication Date Jan 1, 2025
Deposit Date Jan 26, 2025
Publicly Available Date Feb 7, 2025
Journal Systems Science and Control Engineering
Print ISSN 2164-2583
Publisher Taylor and Francis
Peer Reviewed Peer Reviewed
Volume 13
Issue 1
Article Number 245224779
DOI https://doi.org/10.1080/21642583.2025.2460427
Keywords Wing rock; Proportional integral observer; Equivalent control sliding manifold; Second order sliding mode control
Public URL https://hull-repository.worktribe.com/output/5008678

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0

Copyright Statement
© 2025 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.




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