Control of a Spring Pendulum with Single-Frequency Excitation
Spring pendulum with single-frequency excitation can be expressed in a group of complicated nonlinear equations. Bifurcation of the spring pendulum with single-frequency is studied in this paper, feedback controllers are designed, analysis method is used to obtain the control equation of excited system, and the relationship function between control parameters and bifurcation is gained. This acts as an implementation of feedback control method to saddle-node bifurcation control, and also brings average method to numerical calculation of multiple-degree-of-freedom nonlinear system.
H. Xiao et al., "Control of a Spring Pendulum with Single-Frequency Excitation", Advanced Materials Research, Vols. 255-260, pp. 1660-1664, 2011