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Stabilization of the Ball on the Beam System by Means of the Inverse Lyapunov Approach
Joint Authors
Rubio, José de Jesús
Suárez-Castañón, Miguel S.
Aguilar-Ibáñez, Carlos Fernando
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A novel inverse Lyapunov approach in conjunction with the energy shaping technique is applied to derive a stabilizing controller for the ball on the beam system.
The proposed strategy consists of shaping a candidate Lyapunov function as if it were an inverse stability problem.
To this purpose, we fix a suitable dissipation function of the unknown energy function, with the property that the selected dissipation divides the corresponding time derivative of the candidate Lyapunov function.
Afterwards, the stabilizing controller is directly obtained from the already shaped Lyapunov function.
The stability analysis of the closed-loop system is carried out by using the invariance theorem of LaSalle.
Simulation results to test the effectiveness of the obtained controller are presented.
American Psychological Association (APA)
Aguilar-Ibáñez, Carlos Fernando& Suárez-Castañón, Miguel S.& Rubio, José de Jesús. 2012. Stabilization of the Ball on the Beam System by Means of the Inverse Lyapunov Approach. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029773
Modern Language Association (MLA)
Aguilar-Ibáñez, Carlos Fernando…[et al.]. Stabilization of the Ball on the Beam System by Means of the Inverse Lyapunov Approach. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029773
American Medical Association (AMA)
Aguilar-Ibáñez, Carlos Fernando& Suárez-Castañón, Miguel S.& Rubio, José de Jesús. Stabilization of the Ball on the Beam System by Means of the Inverse Lyapunov Approach. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029773