External synchronization of two dynamical systems with uncertain parameters  

作　　者：HAN QingKai 1,SUN XiaoYu 2,YANG XiaoGuang 3 &WEN BangChun 1 1 School of Mechanical Engineering&Automation,Northeastern University,Shenyang 110004,China 2 School of Electrical Engineering,Shenyang University of Technology,Shenyang 110023,China 3School of Mechanical Engineering,The University of Birmingham,Birmingham,B15 2TT,UK 

出　　处：《Science China(Technological Sciences)》2010年第3期731-740,共10页中国科学（技术科学英文版）

基　　金：supported by the Important Project of Ministry of Education,China(Grant No.108037);the National Natural Science Foundations of China(Grant Nos.10402008 and 50535010);Opening Project of State Key Laboratory of Robotics(Grant No.RLO200808)

摘　　要：External synchronization is addressed as two or more dynamical systems with synchronous motions,which is also regarded as master-slave system.In this paper,two dynamical systems,one employs a hysteretic term to model the friction phenomenon,the other involves a hardening stiffness component with the third order of displacement due to flexible deformation,are controlled to converge to the same trajectory.The control strategy is extended from feedback control for all parameters known to adaptive control for linear parameters unknown and all parameters unknown.The slave system can keep synchronous motions with the movements of master via the designed control strategy even all the parameters are not known.The stability of synchronization error,the transient process into synchronization and the effects of parameters on the designed controller using different control strategies are investigated.The simulation results unfold the feasibility and effectiveness of this synchronization method.External synchronization is addressed as two or more dynamical systems with synchronous motions,which is also regarded as master-slave system.In this paper,two dynamical systems,one employs a hysteretic term to model the friction phenomenon,the other involves a hardening stiffness component with the third order of displacement due to flexible deformation,are controlled to converge to the same trajectory.The control strategy is extended from feedback control for all parameters known to adaptive control for linear parameters unknown and all parameters unknown.The slave system can keep synchronous motions with the movements of master via the designed control strategy even all the parameters are not known.The stability of synchronization error,the transient process into synchronization and the effects of parameters on the designed controller using different control strategies are investigated.The simulation results unfold the feasibility and effectiveness of this synchronization method.

关 键 词：controlled SYNCHRONIZATION UNCERTAIN parameters hysteretic SYSTEM DUFFING SYSTEM 

分 类 号：N941.3[自然科学总论—系统科学]