Adaptive fuzzy control for fractional-order nonlinear systems with state and input quantization
SUN Ke
MA Zhi-yao
MA Hong-jun
TONG Shao-cheng
Abstract：This article mainly discusses the fuzzy adaptive control problem of fractional-order nonlinear systems un-der state and input quantization conditions.To begin with,based on the case of non-quantized states,virtual and actual controllers under state quantization are designed,where their partial derivatives are the product of the quantized states,to achieve the final control design.Next,to ensure that the series of errors caused by state and input quantization is bounded,a sufficiently smooth fractional-order projection operator is constructed,and a fuzzy adaptive backstepping recursive control strategy is designed.Furthermore,a fractional-order uniform boundedness criterion is established and rigorously proven,addressing the issue of uniform boundedness of the error signal in the fractional-order sense under the premise of known bounded parameters.With the assurance of the fractional-order uniform boundedness criterion,the boundedness of all closed-loop signals is guaranteed.Finally,the effectiveness of this method is validated through simulation results.
Keywords：fractional-order nonlinear systemsstate and input quantizationfuzzy logic systembackstepping
Publication Date：2025-06-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 1132-1141 )