TY - GEN
T1 - Micro-chaotic behavior of digitally controlled machines
AU - Enikov, Eniko
AU - Stepan, Gabor
N1 - Funding Information:
This reseeirch has been supported by the U.S.-Hungarian Science & Technology Program JFID No. 336 between Auburn University and Technical University of Budapest, and also by the Hungarian Scientific Research Foundation OTKA No. 5-328. One of the authors (GS) wishes to thank also to the Fulbright Commission for its supporting his visit at Cal-Tech (Pasadena) during the preparation of this pa per.
Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - The desired stationary motions of machines are often unstable. Human operator or computer control may be needed to stabilize these machines. An important common feature of both analog and digital controllers, is the time delay which is introduced into the system. Even when these delayed systems should be stable, the experiments show small stochastic oscillations around the desired motion. In case of the stabilization of Ein inverted pendulum, the analysis of the equation of motion shows that chaotic vibrations occur around the equilibrium even when stochastic effects related to human control are not present. In advanced design work of digitally controlled machines, it is vital to know the characteristics of this chaotic behavior. The estimation of the distribution of vibration amplitudes and the frequency range should be available at the design stage. This initiates the analysis of the so-called micro-chaos or;z-chaos.
AB - The desired stationary motions of machines are often unstable. Human operator or computer control may be needed to stabilize these machines. An important common feature of both analog and digital controllers, is the time delay which is introduced into the system. Even when these delayed systems should be stable, the experiments show small stochastic oscillations around the desired motion. In case of the stabilization of Ein inverted pendulum, the analysis of the equation of motion shows that chaotic vibrations occur around the equilibrium even when stochastic effects related to human control are not present. In advanced design work of digitally controlled machines, it is vital to know the characteristics of this chaotic behavior. The estimation of the distribution of vibration amplitudes and the frequency range should be available at the design stage. This initiates the analysis of the so-called micro-chaos or;z-chaos.
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U2 - 10.115/DETC-1995-0279
DO - 10.115/DETC-1995-0279
M3 - Conference contribution
AN - SCOPUS:85103437397
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 399
EP - 406
BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Y2 - 17 September 1995 through 20 September 1995
ER -