DocumentCode
106335
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
Volume
22
Issue
2
fYear
2014
fDate
Mar-14
Firstpage
753
Lastpage
760
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;
fLanguage
English
Journal_Title
Control Systems Technology, IEEE Transactions on
Publisher
ieee
ISSN
1063-6536
Type
jour
DOI
10.1109/TCST.2013.2261299
Filename
6532371
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