Fractional anti-disturbance control for a class of incommensurate fractional-order uncertain systems with multiple mismatched disturbances
ZHENG Wei-jia
FENG Shi-rong
HUANG Run-quan
CHEN Yang-quan
Abstract：The existing active disturbance rejection control(ADRC)approaches mainly aim at the integer-order systems or the commensurate fractional-order systems.When applied to more general incommensurate fractional-order systems,where the derivative orders are different from each other,the existing methods may not achieve satisfactory performance.To deal with the control problem of the incommensurate fractional-order uncertain systems with multiple exogenous distur-bances,an enhanced fractional-order anti-disturbance control(EFADC)scheme is developed in this paper.The incommen-surate-order dynamics are regarded as the model uncertainties and are compensated by a fractional-order ADRC(FOADR-C)scheme.In addition,a fractional-order disturbance observer(FODO)is developed to estimate the disturbances described by exogenous models.Assisted by the commensurate model corrected by the FOADRC scheme,a novel fractional-order sliding mode control(FOSMC)scheme is developed to make the system achieve fast response and strong robustness to exogenous disturbances.Theoretical analysis and numerical simulations are presented to validate the effectiveness of the proposed EFADC scheme.Simulation results show that the proposed method effectively improves the dynamic perfor-mance of incommensurate fractional-order systems and enhances their robustness against exogenous disturbances.
Keywords：active disturbance rejection controldisturbance observersliding mode controlincommensurate fractional-order systems
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：9( 1092-1100 )