Using Proportional and Different Controller to control chaos in Non-autonomous mechanical system

摘要：

The complex dynamics behavior of the centrifugal flywheel governor system subjected to external disturbance is studied.The dynamical equation of the system is established using Lagrangian and Newton’s Second law.By Poincaré sections and Lyapunov exponents are presented to analyze hyperchaotic behavior of the system.The hyperchaotic behavior of system of two positive Lyapunov exponents along with one zero and one negative Lyapunov exponent is obtained.Routes from Hopf bifurcation to chaos are analyzed by the bifurcation diagram and phase portraits,and the Lyapunov exponents corresponded to bifurcation diagrams of the system are confirmed.The hyperchaotic behavior of the system is controlled by using proportional and different controller methods.Based on the non-linear feedback control,the different stable periodic orbits are obtained and by adjusting the feedback coefficients.The centrifugal flywheel governor system subjected to external disturbance is researched numerically.The results show that the method can control effectively the system,and the range of control is board.

关键词： centrifugal governor Lyapunov exponents Hopf bifurcation hyperchaotic chaos control periodic motion.

作者: Jian-gang Zhang Yan-dong Chu Xian-feng Li Ying-xiang Chang

作者单位: School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou,Peoples Republic of China

会议类型: 国际会议

会议名称: International Conference on Modelling,Identification and Control(模拟、鉴定、控制国际会议)

会议地点: 上海

会议语种:英文

在线出版日期: 2008-06-29（万方平台首次上网日期，不代表论文的发表时间）