Command Filter-Based Finite-Time Adaptive Fuzzy Control for Uncertain Nonlinear Systems With Prescribed Performance

• Published in: IEEE transactions on fuzzy systems Vol. 28; no. 12; pp. 3161 - 3170
• Main Authors: Sun, Wei, Wu, Yu-Qiang, Sun, Zong-Yao
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-12-2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Adaptive filters; Adaptive fuzzy control; Adaptive systems; Backstepping; command filter backstepping; Convergence; Feedback control; finite-time control; Fuzzy control; Fuzzy systems; Nonlinear control; Nonlinear systems; prescribed performance; Tracking control; Tracking errors; Uncertainty
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2020.2967295

This article reports our study on the issue of finite-time adaptive fuzzy tracking control for a class of uncertain nonlinear systems with the prescribed performance. A novel finite-time prescribed performance control approach, in which fuzzy systems are employed to approximate completely unknown nonlinear functions, is proposed by incorporating the technique of prescribed performance control with the method of command filtered design. Based on the finite-time stability theory, all the signals of the closed-loop system can be bounded and the output tracking error can converge to a prescribed small region within a finite-time by the proposed scheme; meanwhile, the problem of complexity explosion can be avoided. The effectiveness of the presented method is verified by two examples.