RECURSIVE PROPORTIONAL-FEEDBACK AND ITS USE TO CONTROL CHAOS IN AN ELECTROCHEMICAL SYSTEM

P. PARMANANDA, R. W. ROLLINS, P. SHERARD
Condensed Matter and Surface Sciences Program,
Department of Physics and Astronomy, Ohio University, Athens,
Ohio 45701-2979
- H. D. DEWALD
Condensed Matter and Surface Sciences Program,
Department of Chemistry, Ohio University,
Athens, Ohio 45701-2979

1 September 1993

Abstract:

We report the successful application of a simple recursive proportional-feedback (RPF) algorithm to control chemical chaos observed during the electrodissolution of a rotating copper disk in a sodium acetate/acetic acid buffer. The RPF method is generally applicable to the control of chaotic systems that are highly dissipative and adequately described by one-dimensional maps of a single variable. The successive minima of the measured anodic current generate a return map that is used to implement the control strategy and the anodic potential is the control parameter. Unstable periodic orbits of period one and period two are stabilized by applying small perturbations ( 0.05%) to the anodic potential on each cycle of the periodic oscillation. Experimental evidence is presented to indicate why the RPF method was necessary in this system and the theoretical robustness of the algorithm is discussed.

PACS numbers: 05.45.+b, 87.10.+e

• Introduction
• Experimental System
• Control Method
• Results and Discussion
  • Control of period-1 and period-2 orbits
  • Why use RPF method
  • Theoretical robustness of RPF method
• Acknowledgements
• References
• About this document ...