Time-delayed feedback control optimization for quasi linear systems under random excitations  

作　　者：Xueping Li Demin Wei Weiqiu Zhu School of Civil Engineering and Transportation, South China University of Technology, 510640 Guangzhou, China Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, 310027 Hangzhou, China 

出　　处：《Acta Mechanica Sinica》2009年第3期395-402,共8页力学学报（英文版）

基　　金：the National Natural Science Foundation of China (10772159);Specialized Research Fund for the Doctoral Program of Higher Education of China (20060335125)

摘　　要：A strategy for time-delayed feedback control optimization of quasi linear systems with random excitation is proposed. First, the stochastic averaging method is used to reduce the dimension of the state space and to derive the stationary response of the system. Secondly, the control law is assumed to be velocity feedback control with time delay and the unknown control gains are determined by the performance indices. The response of the controlled system is predicted through solving the Fokker-Plank-Kolmogorov equation associated with the averaged Ito equation. Finally, numerical examples are used to illustrate the proposed control method, and the numerical results are confirmed by Monte Carlo simulation .A strategy for time-delayed feedback control optimization of quasi linear systems with random excitation is proposed. First, the stochastic averaging method is used to reduce the dimension of the state space and to derive the stationary response of the system. Secondly, the control law is assumed to be velocity feedback control with time delay and the unknown control gains are determined by the performance indices. The response of the controlled system is predicted through solving the Fokker-Plank-Kolmogorov equation associated with the averaged Ito equation. Finally, numerical examples are used to illustrate the proposed control method, and the numerical results are confirmed by Monte Carlo simulation .

关 键 词：Quasi linear system Time-delayed feedback Stochastic averaging method Random excitation 

分 类 号：O231.3[理学—运筹学与控制论]