Adaptive finite‐time control for a class of uncertain high‐order non‐linear systems based on fuzzy approximation. Issue 5 (3rd February 2017)

• Record Type: Journal Article
• Authors: Wang, Honghong; Chen, Bing; Lin, Chong; Sun, Yumei; Wang, Fang
• Is Part Of: IET control theory & applications. Volume 11:Issue 5(2017)
• Page Start: 677
• Page End: 684
• Publication Date: 2017-02-03
• Subjects: adaptive control -- nonlinear control systems -- fuzzy control -- approximation theory -- control nonlinearities -- control system synthesis -- Lyapunov methods -- stability -- closed loop systems; tracking error convergence -- semiglobal practical finite‐time stability -- control design -- finite‐time Lyapunov stability theory -- adaptive closed‐loop system stability analysis -- nonlinear uncertainty identification -- fuzzy logic systems -- backstepping‐based adaptive fuzzy finite‐time control -- single‐output nonlinear systems -- single‐input nonlinear systems -- adaptive practical finite‐time control problem -- fuzzy approximation -- uncertain high‐order nonlinear systems; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2016.0947
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : The problem of adaptive practical finite‐time control is considered for a class of single‐input and single‐output non‐linear systems, in which the system non‐linear functions are assumed to be unknown. By combining adaptive fuzzy control approach with the backstepping technology, a backstepping‐based adaptive fuzzy finite‐time control scheme is proposed. In the control design procedure, fuzzy logic systems are employed to identify the non‐linear uncertainties. The stability analysis of the adaptive closed‐loop systems is proposed based on the finite‐time Lyapunov stability theory. The proposed adaptive fuzzy controller guarantees that all the closed signals are semi‐global practical finite‐time stability while the tracking error converges to a small neighbourhood of the origin. Finally, simulation results are presented to validate the effectiveness of our results.