Adaptive NN stabilization for stochastic systems with discrete and distributed time-varying delays  

作　　者：Jing Li Junmin Li Yuli Xiao 

机构地区：[1]Department of Mathematics, Xidian University, Xi＇an 710071, R R. China [2]School of Telecommunications Engineering, Xidian University, Xi＇an 710071, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第6期954-966,共13页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Fundation of China (60804021;60974139;61075117);the Fundamental Research Funds for the Central Universities (JY10000970001;K50510700002;72103676)

摘　　要：A new adaptive neural network（NN） output-feedback stabilization controller is investigated for a class of uncertain stochastic nonlinear strict-feedback systems with discrete and distributed time-varying delays and unknown nonlinear functions in both drift and diffusion terms.First,an extensional stability notion and the related criterion are introduced.Then,a nonlinear observer to estimate the unmeasurable states is designed,and a systematic backstepping procedure to design an adaptive NN output-feedback controller is proposed such that the closed-loop system is stable in probability.The effectiveness of the proposed control scheme is demonstrated via a numerical example.A new adaptive neural network（NN） output-feedback stabilization controller is investigated for a class of uncertain stochastic nonlinear strict-feedback systems with discrete and distributed time-varying delays and unknown nonlinear functions in both drift and diffusion terms.First,an extensional stability notion and the related criterion are introduced.Then,a nonlinear observer to estimate the unmeasurable states is designed,and a systematic backstepping procedure to design an adaptive NN output-feedback controller is proposed such that the closed-loop system is stable in probability.The effectiveness of the proposed control scheme is demonstrated via a numerical example.

关 键 词：distributed delay output-feedback stabilization nonlinear observer stochastic nonlinear strict-feedback system adaptive neural network control（ANNC）. 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置] TM343[自动化与计算机技术—控制科学与工程]