文献类型：期刊文献

英文题名：Response of Duffing system with delayed feedback control under combined harmonic and real noise excitations

作者：Feng, C. S.[1,2];Wu, Y. J.[3];Zhu, W. Q.[1]

机构：[1]Zhejiang Univ, Dept Mech, State Key Lab Fluid Power Transmiss & Control, Hangzhou 310027, Peoples R China;[2]Hangzhou Dianzi Univ, Inst Mechatron Engn, Hangzhou 310018, Peoples R China;[3]E China Univ Sci & Technol, Inst Automat, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

年份：2009

卷号：14

期号：6

起止页码：2542

外文期刊名：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录：;EI(收录号：20090411873882);WOS:【SCI-EXPANDED(收录号:WOS:000263590700006)】；

语种：英文

外文关键词：Duffing system; Delayed feedback bang-bang control; Combined harmonic and real noise excitations; Stationary response; Stochastic jump; Stochastic averaging

摘要：This paper presents a procedure for predicting the response of Duffing system with delayed feedback bang-bang control under combined harmonic and real noise excitations by using the stochastic averaging method. First, the time-delayed feedback bang-bang control force is expressed approximately in terms of the system state variables without time delay. Then the averaged Ito stochastic differential equations for the system are derived by using the stochastic averaging method. Finally, the response of the system is obtained by solving the Fokker-Plank-Kolmogorov (FPK) equation associated with the averaged Ito equations. It is shown that the time delay in feedback control can deteriorate the control effectiveness and Cause bifurcation of stochastic jump of Duffing system, The validity of the proposed method is confirmed by digital simulation. (C) 2008 Elsevier B.V. All rights reserved.