Time-delay control for non-linear dynamic cantilever beam

Abstract

Based on spring time-delay feedback controller, the excited cantilever beam modeled as an inextensible Euler-Bernoulli beam is investigated for the primary resonance. The spring controller is designed to control the dynamic behavior of the nonlinear dynamic system. The method of multiple scales is utilized directly to obtain the linear equations. The effect of the feedback gain and time-delay on the steady state response is investigated. It is found that proper selection of the feedback gain and time-delay can enhance the control performance. The bifurcation can be eliminated or the position of bifurcation point can be changed.