Rejection of nonharmonic disturbances for a class of uncertain nonlinear systems with nonlinear exosystems  

作　　者：JIANG Yuan LIU ShuTang WANG RuLiang 

机构地区：[1]School of Information Engineering,Nanchang Hangkong University [2]School of Control Science and Engineering,Shandong University [3]School of Computer and Information Engineering,Guangxi Teachers Education University

出　　处：《Science China(Information Sciences)》2013年第3期186-197,共12页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.61164015,60864001);Foundation for the Author of National Excellent Doctoral Dissertation of China(Grant No.200444);Project Sponsored by the Scientific Research Foundation for the Doctors of Nanchang Hangkong University(Grant No. EA201104184)

摘　　要：This paper proposes an asymptotic rejection algorithm for rejecting exotic disturbances in nonlinear systems. Disturbances produced by nonlinear exosystems are nonharmonic and periodic. A new internal model is proposed to deal with these disturbances. Furthermore, an adaptive output feedback controller is designed to ensure that the system＇s state variables asymptotically converge to zero, and disturbances can be completely rejected. The proposed algorithm has various applications, such as active vibration control. The proposed algorithm is demonstrated to completely reject the nonharmonic periodic disturbances produced by a van der Pol oscillator.This paper proposes an asymptotic rejection algorithm for rejecting exotic disturbances in nonlinear systems. Disturbances produced by nonlinear exosystems are nonharmonic and periodic. A new internal model is proposed to deal with these disturbances. Furthermore, an adaptive output feedback controller is designed to ensure that the system＇s state variables asymptotically converge to zero, and disturbances can be completely rejected. The proposed algorithm has various applications, such as active vibration control. The proposed algorithm is demonstrated to completely reject the nonharmonic periodic disturbances produced by a van der Pol oscillator.

关 键 词：disturbance rejection adaptive control nonharmonic periodic signal van der Pol oscillator GLOBALSTABILITY 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]