Output feedback control for nonlinear fractional-order systems with parametric uncertainties
LIU Le-fei
GE Fu-dong
CHEN Yang-quan
Abstract：This paper is concerned with the output feedback control problems of nonlinear fractional-order systems involving parametric uncertainties.Toward this aim,we first propose a novel fractional-order proportional integral(PI)observer to estimate the unknown state of the considered system.Sufficient conditions for asymptotical stability of the re-sulting observer error systems are then obtained by using the Laplace transformation and the Gronwall-Bellman inequality.Subsequently,output feedback control problem of the studied system is considered and asymptotic stability of correspond-ing closed-loop system is derived based on the fractional Lyapunov stability theorem.At last,to illustrate the effectiveness and practical applicability of our obtained theoretical results,we provide a detailed numerical example.
Keywords：output feedback controlPI observer designnonlinear fraction-order systemsparametric uncertaintiesasymptotic stability
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：8( 1124-1131 )