Dynamic Characteristics of Single-frequency Signal after Modulated by Feedback Control System  

作　　者：Chao-Feng Lan Xiao-Xia Guo Huan Chen Zong-Rui Hao Jing-Yu Liu 

机构地区：[1]School of Electrical and Electronic Engineering,Harbin University of Science and Technology [2]China Ship Design and Development Center [3]Institute of Oceangraphic Instrumention,Shandong Academy of Science [4]Computer Science and Information Engineering,Harbin Normal University

出　　处：《Journal of Harbin Institute of Technology(New Series)》2014年第1期62-68,共7页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by Basic Research Development Program(Grant No.7131107);the National Natural Science Foundation of China(Grant No.51206101)

摘　　要：In order to study the dynamic characteristics of the single-frequency signal through the nonlinear control system,the system control mode,the outer excitation patterns of the model and the amplitude are investigated by using the methods of the nonlinear dynamical analysis. The time-domain diagram,power spectrum,phase diagram and the largest Lyapunov exponent obtained from the process of the signal propagate through different control module are given. The researches on different control systems demonstrate that: after single-frequency signal goes through the nonlinear controller,it is still non-chaotic although the output contains more frequency components; but with the feedback and the external perturbation,the output is a continuous broadband spectrum and the result shows that there is chaos. The energy of the input signal reduces with some appropriate parameters. Therefore,the control system of the nonlinear feedback is a good way to broaden the spectrum of output with inputting a single-frequency signal.In order to study the dynamic characteristics of the single-frequency signal through the nonlinear control system, the system control mode, the outer excitation patterns of the model and the amplitude are investigated by using the methods of the nonlinear dynamical analysis. The time-domain diagram, power spectrum, phase diagram and the largest Lyapunov exponent obtained from the process of the signal propagate through different control module are given. The researches on different control systems demonstrate that： after single-frequency signal goes through the nonlinear controller, it is still non-chaotic although the output contains more frequency components; but with the feedback and the external perturbation, the output is a continuous broadband spectrum and the result shows that there is chaos. The energy of the input signal reduces with some appropriate parameters. Therefore, the control system of the nonlinear feedback is a good way to broaden the spectrum of output with inputting a single-frequency signal.

关 键 词：nonlinear control feedback control line spectrum broadening energy change 

分 类 号：O332[理学—一般力学与力学基础]