TY - GEN
T1 - Finite time model orbit stabilization of friction pendulum
AU - Orlov, Yury
AU - Aguilar, Luis T.
AU - Acho, Leonardo
AU - Ortiz, Adán
PY - 2006
Y1 - 2006
N2 - A novel approach to orbital stabilization is presented and tested on a friction pendulum, operating under uncertain conditions. The quasihomogeneous control synthesis is utilized to design a variable structure controller that drives the pendulum to a model orbit in finite time in spite of the presence of external disturbances with an a priori known magnitude bound. A well-known Van der Pol oscillator is modified to be introduced into the synthesis as an asymptotic harmonic generator of the periodic motion. The proposed modification possesses a limit cycle, producing a single harmonic as opposed to multi-harmonics of a standard harmonic oscillator. The parameters of the asymptotic harmonic generator are shown to specify damping, amplitude, and frequency of the limit cycle production. The resulting closed-loop system is capable of moving from one orbit to another by changing these parameters dynamically. Performance issues of the controller constructed are illustrated in an experimental study.
AB - A novel approach to orbital stabilization is presented and tested on a friction pendulum, operating under uncertain conditions. The quasihomogeneous control synthesis is utilized to design a variable structure controller that drives the pendulum to a model orbit in finite time in spite of the presence of external disturbances with an a priori known magnitude bound. A well-known Van der Pol oscillator is modified to be introduced into the synthesis as an asymptotic harmonic generator of the periodic motion. The proposed modification possesses a limit cycle, producing a single harmonic as opposed to multi-harmonics of a standard harmonic oscillator. The parameters of the asymptotic harmonic generator are shown to specify damping, amplitude, and frequency of the limit cycle production. The resulting closed-loop system is capable of moving from one orbit to another by changing these parameters dynamically. Performance issues of the controller constructed are illustrated in an experimental study.
UR - http://www.scopus.com/inward/record.url?scp=33845571870&partnerID=8YFLogxK
U2 - 10.1109/VSS.2006.1644535
DO - 10.1109/VSS.2006.1644535
M3 - Contribución a la conferencia
AN - SCOPUS:33845571870
SN - 1424402085
SN - 9781424402083
T3 - Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06
SP - 304
EP - 309
BT - Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06
T2 - 2006 International Workshop on Variable Structure Systems, VSS'06
Y2 - 5 June 2006 through 7 June 2006
ER -