周期分岔解的鲁棒控制  

Robust Control of Periodic Bifurcation Solutions

作　　者：梁建术[1] 陈予恕[1] 梁以德[2] 

机构地区：[1]天津大学力学系,天津300072 [2]香港城市大学建筑与结构工程系

出　　处：《应用数学和力学》2004年第3期239-246,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19990510);国家重点基础研究专项经费资助项目(G1998020316);博士点基金资助项目(D09901;D0200201)

摘　　要：　根据C＿L方法,可以得到非线性动力系统的分岔方程和拓扑分岔图·　根据得到的分岔图,结合控制理论,提出了周期解的鲁棒控制方法·　该方法将运动模式控制到目标模式·　由于该方法对控制器的参数没有严格的控制。The topological bifurcation diagrams and the coefficients of bifurcation equation were obtained by C-L method.According to obtained bifurcation diagrams and combining control theory,the method of robust control of periodic bifurcation was presented,which differs from generic methods of bifurcation control.It can make the existing motion pattern into the goal motion pattern.Because the method does not make strict requirement about parametric values of the controller,it is convenient to design and make it.Numerical simulations verify validity of the method.

关 键 词：分岔 拓扑结构 分岔控制 C-L方法 

分 类 号：O332[理学—一般力学与力学基础] O231[理学—力学]