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Hierarchical sliding mode-based adaptive fuzzy control for uncertain switched under-actuated nonlinear systems with input saturation and dead-zone

Shuai Yue (College of Control Science and Engineering, Bohai University, Jinzhou, China)
Ben Niu (School of Information Science and Engineering, Shandong Normal University, Jinan, China)
Huanqing Wang (College Mathematical Science, Bohai University, Jinzhou, China)
Liang Zhang (College of Control Science and Engineering, Bohai University, Jinzhou, China)
Adil M. Ahmad (Communication Systems and Networks Research Group, Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia)

Robotic Intelligence and Automation

ISSN: 2754-6969

Article publication date: 25 August 2023

Issue publication date: 13 October 2023

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Abstract

Purpose

This paper aims to study the issues of adaptive fuzzy control for a category of switched under-actuated systems with input nonlinearities and external disturbances.

Design/methodology/approach

A control scheme based on sliding mode surface with a hierarchical structure is introduced to enhance the responsiveness and robustness of the studied systems. An equivalent control and switching control rules are co-designed in a hierarchical sliding mode control (HSMC) framework to ensure that the system state reaches a given sliding surface and remains sliding on the surface, finally stabilizing at the equilibrium point. Besides, the input nonlinearities consist of non-symmetric saturation and dead-zone, which are estimated by an unknown bounded function and a known affine function.

Findings

Based on fuzzy logic systems and the hierarchical sliding mode control method, an adaptive fuzzy control method for uncertain switched under-actuated systems is put forward.

Originality/value

The “cause and effect” problems often existing in conventional backstepping designs can be prevented. Furthermore, the presented adaptive laws can eliminate the influence of external disturbances and approximation errors. Besides, in contrast to arbitrary switching strategies, the authors consider a switching rule with average dwell time, which resolves control problems that cannot be resolved with arbitrary switching signals and reduces conservatism.

Keywords

Acknowledgements

This research work was funded by Institutional Fund Projects under grant no. (IFPIP: 127-611-1443). The authors gratefully acknowledge technical and financial support provided by the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia.

The authors sincerely thank the anonymous editors and reviewers and hope to publish in Robot Intelligence and Automation.

Funding: This work was partially supported by the National Natural Science Foundation of China, under Grant 62203064. The authors gratefully acknowledge anonymous editors and reviewers.

Citation

Yue, S., Niu, B., Wang, H., Zhang, L. and Ahmad, A.M. (2023), "Hierarchical sliding mode-based adaptive fuzzy control for uncertain switched under-actuated nonlinear systems with input saturation and dead-zone", Robotic Intelligence and Automation, Vol. 43 No. 5, pp. 523-536. https://doi.org/10.1108/RIA-04-2023-0056

Publisher

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Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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