Open AccessAdaptive iterative learning control for a class of fractional-order nonlinear systems
Author(s) -
Hao Xiu-qing,
Xiaoli Liu
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012079
Subject(s) - iterative learning control , bounded function , nonlinear system , sequence (biology) , fractional calculus , tracking error , control theory (sociology) , controller (irrigation) , adaptive control , class (philosophy) , mathematics , domain (mathematical analysis) , computer science , control (management) , artificial intelligence , mathematical analysis , physics , quantum mechanics , biology , agronomy , genetics
Based on the discussions on the properties of fractional integral and Caputo fractional derivative, an adaptive iterative learning control approach is proposed for a class of fractional-order nonlinear system (FONS) with unknown time-varying parameter. With the design of learning controller and adaptive learning law for unknown parameter, the tracking error sequence converges to zero in the iteration domain while all the closed-loop signals remain bounded. Finally, a numerical example is given to verify the validity of the designed method.