Fixed-Time Fuzzy Control for a Class of Nonlinear Systems

Fixed-time tracking control is considered for a class of nonlinear systems in this article. Different from the conventional literature on fixed-time control studies, in this article, the nonlinearities of systems are all completely unknown. Fuzzy-logic systems are utilized to model these unknown non...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2022-05, Vol.52 (5), p.3880-3887
Main Authors: Sun, Yumei, Wang, Fang, Liu, Zhi, Zhang, Yun, Chen, C. L. Philip
Format: Article
Language:English
Subjects:
Adaptive control
Adaptive fuzzy control
Adaptive systems
backstepping
Control systems
Design parameters
fixed-time control
Fuzzy control
Fuzzy logic
Fuzzy systems
Nonlinear systems
Nonlinearity
Stability analysis
Stability criteria
Tracking control
Upper bound
Upper bounds
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Summary:Fixed-time tracking control is considered for a class of nonlinear systems in this article. Different from the conventional literature on fixed-time control studies, in this article, the nonlinearities of systems are all completely unknown. Fuzzy-logic systems are utilized to model these unknown nonlinearities. To deal with the fixed-time control under the approximation errors, three steps are taken. First, a new criterion of fixed-time stability is developed; second, a new fixed-time control scheme is proposed, which is different from the existing adaptive design method; and third, to analyze the fixed-time stability of the system, two novel inequalities are established. It shows that the proposed fuzzy control scheme can guarantee system performance in a fixed time, and the upper bound of the settling time only depends on the design parameters.
ISSN:2168-2267
2168-2275
DOI:10.1109/TCYB.2020.3018695