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Dynamic Surface Control Using Fuzzy Logic Systems for Uncertain, Strict‐feedback, Nonlinear Systems with Unknown Control Directions
Author(s) -
Shi Wenrui,
Xu Lijia,
Chen Sanyan
Publication year - 2020
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.23036
Subject(s) - control theory (sociology) , fuzzy logic , nonlinear system , a priori and a posteriori , fuzzy control system , filter (signal processing) , projection (relational algebra) , adaptive control , mathematics , computer science , operator (biology) , control system , multivariable calculus , control (management) , control engineering , engineering , algorithm , artificial intelligence , philosophy , repressor , chemistry , biochemistry , epistemology , quantum mechanics , transcription factor , computer vision , physics , electrical engineering , gene
This paper proposes an adaptive tracking control design procedure for a class of uncertain, strict‐feedback, nonlinear systems in the presence of unknown structure uncertainties, external disturbances, and unknown control directions. To stabilize the systems, fuzzy logic systems are utilized to approximate the unknown structure uncertainties, and the weight matrices and the upper bounds of approximation errors of fuzzy logic systems are not supposed to be known a priori. Then, to avoid the problem of ‘explosion of terms’, a dynamic surface control approach is employed by introducing a first‐order low‐pass filter. Furthermore, the issue of unknown control directions is solved by inserting the Nussbaum function. In addition, the projection operator is applied in the adaptation laws to guarantee the boundedness of the estimated parameters. Finally, simulation results are presented to show the validity of the proposed control strategy. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.