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Adaptive fuzzy finite‐time optimal control for switched nonlinear systems
Author(s) -
Fan Yanli,
Li Yongming
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2623
Subject(s) - backstepping , control theory (sociology) , controller (irrigation) , fuzzy logic , adaptive control , nonlinear system , integrator , fuzzy control system , computer science , mathematics , control (management) , bandwidth (computing) , artificial intelligence , computer network , physics , quantum mechanics , agronomy , biology
Summary This article addresses the adaptive fuzzy finite‐time control problem for a class of switched nonlinear systems whose powers are positive odd rational numbers and vary with the switching signal. The fuzzy logic systems (FLSs) are used to approximate the unknown nonlinearities of the controlled systems, and then by combining backstepping control algorithm with adding a power integrator technique, an adaptive finite‐time controller is designed. By modifying and optimizing the relevant design parameters of the proposed adaptive finite‐time controller, a novel adaptive finite‐time optimal control approach is developed. The proposed two adaptive finite‐time optimal control schemes can guarantee semi‐globally practically finite‐time stability of the closed‐loop system. Moreover, the adaptive finite‐time optimal controller can also achieve optimized performance in relation to the cost functional. Finally, a simulation example is given to illustrate the effectiveness of the proposed two adaptive finite‐time control strategies.