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Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions
Author(s) -
Jia Fujin,
Lu Junwei,
Li Yongmin
Publication year - 2021
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.3244
Subject(s) - control theory (sociology) , nonlinear system , control (management) , tracking (education) , tracking error , mathematics , internal model , nonlinear control , computer science , fuzzy control system , fuzzy logic , physics , quantum mechanics , artificial intelligence , psychology , pedagogy
This article studies the finite‐time output regulation problem for nonlinear strict‐feedback systems with completely unknown control directions and unknown functions. First, according to the necessary conditions for the solvability of the output regulation problem, the output regulation problem of nonlinear strict‐feedback systems and the external system is transformed into a stabilization problem of nonlinear systems. Second, an internal model with external signals is designed. Third, based on finite time, fuzzy control, output feedback control, and Nussbaum gain functions, the control law is designed so that all signals of the closed‐loop system are the semi‐global practically finite‐time stable (SGPFS), and the tracking error converges to a small neighborhood of the origin in a finite‐time. Finally, the proposed algorithm is applied to the finite‐time tracking problem of Chua's oscillator system.