比例微分控制模型在双稳态悬臂梁混沌运动中的实证研究

Empirical Study of Proportional Derivative Control Model in Chaotic Motion of Bi-stable Cantilever Beam

建立了双稳态悬臂梁集中参数模型,并利用不动点的稳定性理论解释了系统的双稳态特性.分析了在不同外界激励频率下悬臂梁振动特性.引入比例微分控制器对悬臂梁的混沌运动进行了控制.研究表明:比例微分控制器可以有效地将悬臂梁的混沌运动控制到周期状态,并且控制器的引入并不影响原系统的稳定性.

A bi-stable cantilever beam with lumped parameter model is established.The bi-stable characteristics is explained with the theory of stability of fixed point.Vibration characteristics of cantilever beam with various external excitation frequencies is analyzed.The proportional derivative controller is used to control the chaotic motion of the cantilever beam.The results is showed that the proportional derivative controller can effectively control the chaotic motion of the cantilever beam to the periodic state,and the introduction of the controller does not affect the stability of the original system.