Micro-chaotic behavior of digitally controlled machines

E. Enikov, G. Stepan

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations


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 an 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 μ-chaos.

Original languageEnglish (US)
Number of pages8
StatePublished - 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995


OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1
CityBoston, MA, USA

ASJC Scopus subject areas

  • General Engineering


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