Adaptive Finite-Time Fuzzy Funnel Control for Nonaffine Nonlinear Systems

This paper, for the first time, presents an adaptive finite-time fuzzy funnel controller for nonaffine nonlinear systems via backstepping. To ensure the tracking error with prescribed boundedness, a modified transformation for funnel error is developed and embedded in the procedure of control design...

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Bibliographic Details
Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 5; pp. 2894 - 2903
Main Authors Liu, Cungen, Wang, Huanqing, Liu, Xiaoping, Zhou, Yucheng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Adaptive systems
Backstepping
Closed loop systems
Control design
Control systems design
Controllers
Feedback control
finite time
funnel control
Fuzzy control
Fuzzy logic
Fuzzy systems
nonaffine structure
Nonlinear control
Nonlinear systems
Steady-state
Tracking errors
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Summary:This paper, for the first time, presents an adaptive finite-time fuzzy funnel controller for nonaffine nonlinear systems via backstepping. To ensure the tracking error with prescribed boundedness, a modified transformation for funnel error is developed and embedded in the procedure of control design. The unknown packaged nonlinear functions appeared in the controller design process are approximated by using fuzzy logic systems. It is proved that the proposed method guarantees that the output tracking error falls within a preset funnel and all signals in the closed-loop system are semi-globally practically finite-time bounded (SGPFB). Simulations are carried out to demonstrate the effectiveness of the controller design scheme.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2019.2917547