Title :
Bifurcation control of a flexible beam under principal parametric excitation
Author :
Chen, L. ; Cao, T. ; He, F. ; Sammut, K.
Author_Institution :
Sch. of Inf. & Eng., Flinders Univ. of South Australia, Bedford Park, SA, Australia
Abstract :
A new approach is proposed in this paper for the nonlinear control of a flexible cantilever beam which is excited under a principal parametric vibration. The approach is based on a bifurcation control principle that combines linear and nonlinear feedback control strategies. A simplified nonlinear vibration model that accounts for the beam´s flexibility and the control feedback, is first derived by using the method of multiple scales. The analysis of stability based on Krasovskii´s theorem is then applied to the above system. Simulation results show that the proposed approach is effective for use in the case of parametric vibration control
Keywords :
bifurcation; control system analysis; feedback; flexible structures; nonlinear control systems; stability; vibration control; Krasovskii theorem; bifurcation control; control feedback; flexible cantilever beam; linear feedback control; nonlinear control; nonlinear feedback control; nonlinear vibration model; parametric vibration control; principal parametric excitation; principal parametric vibration; stability analysis; Bifurcation; Control systems; Feedback control; Frequency; Nonlinear control systems; Nonlinear systems; Resonance; Stability; Structural beams; Vibration control;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876930