Adaptive anti-measurement-disturbance stabilization fora class of nonlinear systems via output feedback
LIN Lei
SHEN Yan-jun
Abstract：In this paper,we study adaptive anti-measurement-disturbance stabilization for a class of nonlinear systems via output feedback.In the output of the systems,there exist multiplicative noises which are assumed to be positive and have known upper and lower bounds.The growth rate of the nonlinear terms has an unknown constant multiplied by a power function of the output and a power function of the output with time delay.Firstly,a matrix inequality is developed.Secondly,we design an output feedback stabilizer with three time-varying gains,and give adaptive laws of the gains as well.Then,a Lyapunov-Krasovskii functional is constructed,and sufficient conditions are derived to ensure that the closed-loop system is asymptotically stable.Finally,numerical simulations are provided to verify the feasibility and effectiveness of the design method.
Keywords：multiplicative noisesadaptive stabilizationnonlinear systemtime-delayoutput feedback
Publication Date：2022-08-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：11( 1460-1470 )