Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (3): 263-271.

• Articles • Previous Articles     Next Articles

ROBUST CONTROL OF PERIODIC BIFURCATION SOLUTIONS

LIANG Jian-shu1, CHEN Yu-shu1, Andrew Y.T.Leung2   

  1. 1. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China;
    2. Department of Building and Construction, City University of Hong Kong, Hong Kong, P.R.China
  • Received:2003-11-29 Revised:2003-11-20 Online:2004-03-18 Published:2004-03-18
  • Supported by:
    the National Natural Science Foundation of China(19990510); the National Key Basic Research Special Foundation(G1998020316); the Doctoral Point Foundation of Education Ministry PRC(D09901, D0200201)

Abstract: 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.

2010 MSC Number: 

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