文献类型：期刊文献

英文题名：Adaptive neural control for a class of non-affine stochastic non-linear systems with time-varying delay: a Razumikhin-Nussbaum method

作者：Yu, Z.[1];Jin, Z.[1];Du, H.[1]

机构：[1]E China Univ Sci & Technol, Dept Automat, Shanghai 200237, Peoples R China

年份：2012

卷号：6

期号：1

起止页码：14

外文期刊名：IET CONTROL THEORY AND APPLICATIONS

收录：;EI(收录号：20120114652436);WOS:【SCI-EXPANDED(收录号:WOS:000298370900003)】；

基金：The authors thank the editors and reviewers for their kind help and comments. The work was supported by the Natural Science Foundation of P. R. China under grant numbers 60704013 and 60974066, the Natural Science Foundation of Shanghai under grant no. 11ZR1409800 and the Special Foundation of East University of Science and Technology for Youth Teacher under grant no. YH0157134.

语种：英文

外文关键词：Nonlinear systems - Stochastic systems - Embedded systems - Adaptive control systems - Linear systems - Time varying control systems - Time delay

摘要：This study focuses on the problem of adaptive neural control for a class of uncertain non-affine stochastic non-linear systems with time-varying delay. Major technical difficulties for this class of systems lie in: (i) the unknown control direction embedded in the unknown control gain functions and (ii) the unknown system function with unknown time-varying delay. A novel Razumikhin-Nussbaum lemma is proposed to overcome the mentioned difficulties. Moreover, based on the Razumikhin functional approach, an adaptive neural controller is developed for this class of systems by exploring the application of Nussbaum functions to stochastic non-linear systems. The proposed design guarantees that all the error variables in the closed-loop systems are four-moment semi-globally uniformly ultimately bounded in a compact set, while the tracking error remains in a neighbourhood of the origin. The effectiveness of the proposed design is verified by simulation results.