Robust adaptive dynamic surface control scheme for a class of single‐input and single‐output uncertain nonlinear systems in strict‐feedback form

Soukkou, Yassine; Tadjine, Mohamed; Nibouche, Mokhtar; Zhu, Quanmin

Abstract

This article presents a robust adaptive dynamic surface control using σ-modification adaptation laws for a class of single-input and single-output (SISO) uncertain nonlinear systems in strict-feedback form with parametric uncertainties and external disturbances. The proposed scheme is developed by employing dynamic surface control based robust adaptive control technique. The key features of the approach are that, first, the problem of explosion of complexity inherent in the conventional adaptive backstepping control method is avoided, second, the proposed approach of σ-modification adaptation laws gives fast and accurate parameter estimation performance, and, third, the closed-loop signals of the system are proven to be uniformly ultimately bounded (UUB) by using the Lyapunov stability theory. We show the effectiveness of our approach by simulating an electromechanical system.

Citation

Soukkou, Y., Tadjine, M., Nibouche, M., & Zhu, Q. (2022). Robust adaptive dynamic surface control scheme for a class of single‐input and single‐output uncertain nonlinear systems in strict‐feedback form. International Journal of Adaptive Control and Signal Processing, 36(11), 2938-2952. https://doi.org/10.1002/acs.3486

• Journal Article Type: Article
• Acceptance Date: Aug 11, 2022
• Online Publication Date: Aug 30, 2022
• Publication Date: Nov 6, 2022
• Deposit Date: Nov 10, 2022
• Journal: International Journal of Adaptive Control and Signal Processing
• Print ISSN: 0890-6327
• Electronic ISSN: 1099-1115
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 36
• Issue: 11
• Pages: 2938-2952
• DOI: https://doi.org/10.1002/acs.3486
• Keywords: Electrical and Electronic Engineering, Signal Processing, Control and Systems Engineering, dynamic surface control, electromechanical system, Lyapunov stability theory, robust adaptive control, strict-feedback form, uncertain nonlinear systems
• Public URL: https://uwe-repository.worktribe.com/output/9960976
• Publisher URL: https://onlinelibrary.wiley.com/doi/10.1002/acs.3486