Stability and Robustness against System Parameter Drift of Algorithms for the Control of Low Dimensional Chaos

ORAL

Abstract

Previously, we have demonstrated that the chaotic formation of Taylor-Vortex pairs in Modified Taylor-Couette flow with hourglass geometry may be controlled by the application of the Recursive Proportional Feedback algorithm\footnote{Rollins \textit{et al}, Phys. Rev. E \textbf{47}, R780 (1993).}$^{,}$\footnote{Wiener \textit{et al}, Phys. Rev. Lett. \textbf{83}, 2340 (1999).}. We have developed analogous algorithms that may be more effective in changing environments, where system parameters may drift. We present numerical simulations and analysis to determine the stability and robustness of these new algorithms against such drift.

Authors

  • Thomas Olsen

    Lewis \& Clark College, Portland, OR

  • Kjell Schroder

    Lewis \& Clark College, Portland, OR

  • Katherine Carriker

  • Bonita Squires

  • Kara Yedinak

  • Richard Wiener

    Pacific University, Forest Grove, OR