A Novel Practical Finite-Time Adaptive Fuzzy Tracking Strategy of Stochastic Nonlinear Systems

Xu, Shanyuan; Zhu, Chenglong; Zhao, Junsheng; Sun, Zong-Yao; Hu, Yangzi

Abstract

This paper explores a challenge of achieving practical finite-time stability (PFTS) in stochastic nonlinear systems with non-affine inputs and asymmetric output constraints. To tackle these issues, an improved dynamic event-triggered mechanism is proposed to handle the problem of non-affine inputs. Additionally, a quartic time-varying barrier Lyapunov function is established to deal with asymmetric output constraints. Furthermore, an innovative criterion for PFTS is formulated specifically for stochastic nonlinear systems, which aims to deal with the difficulty that the existence of unknown stochastic disturbance terms renders conventional PFTS control strategies infeasible. Based on the dynamic event-triggered mechanism and a bounded command filter method, an improved PFTS adaptive fuzzy control strategy is brought up for stochastic nonlinear systems. This strategy not only greatly improves the efficiency of resource utilization, but also improves the robustness and stability of the control system. Ultimately, to examine the validity of the proposed approach, the technique is applied to flexible robotic manipulators and ship maneuvering systems.

Citation

Xu, S., Zhu, C., Zhao, J., Sun, Z.-Y., & Hu, Y. (online). A Novel Practical Finite-Time Adaptive Fuzzy Tracking Strategy of Stochastic Nonlinear Systems. International Journal of Fuzzy Systems, https://doi.org/10.1007/s40815-025-02018-9

• Journal Article Type: Article
• Acceptance Date: Feb 21, 2025
• Online Publication Date: Apr 9, 2025
• Deposit Date: Apr 17, 2025
• Journal: International Journal of Fuzzy Systems
• Print ISSN: 1562-2479
• Electronic ISSN: 2199-3211
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1007/s40815-025-02018-9
• Public URL: http://researchrepository.napier.ac.uk/Output/4242081