Title :
Parametric Resonance Cancellation Via Reshaping Stability Regions: Numerical and Experimental Results
Author :
Moreno-Ahedo, Luis ; Collado, Joaquin ; Vazquez, Carlos
Author_Institution :
Eng. Fac., Univ. Autonoma de Baja California, Mexicali, Mexico
Abstract :
In this brief, a vibrational control law is designed and applied to an unstable and parametrically excited mechanical system, namely, a gantry crane. The control law cancels the parametric resonance by reshaping the stable regions. The parameters of the control law are tuned by using a graphic scheme based on the symbolic computation of the monodromy matrix. The control law is implemented experimentally in the laboratory model of a gantry crane, confirming the theoretical results.
Keywords :
control system synthesis; cranes; graph theory; matrix algebra; mechanical stability; numerical analysis; symbol manipulation; vibration control; gantry crane; graphic scheme; laboratory model; monodromy matrix; parametric resonance cancellation; parametrically excited mechanical system; reshaping stability regions; symbolic computation; vibrational control law; Mathieu equation; parametric resonance; vibrational control;
Journal_Title :
Control Systems Technology, IEEE Transactions on
DOI :
10.1109/TCST.2013.2261299
