Using Statistical Moments to Improve the Control of Chaotic Oscillators

• Activity Number: 131
• Type: Contributed
• Date/Time: Monday, August 5, 2013 : 8:30 AM to 10:20 AM
• Sponsor: Section on Physical and Engineering Sciences
• Author(s): Morris Morgan*+ and Carolyn Morgan
• Companies: Hampton University and Hampton University
• Keywords: chaotic ; oscillators ; fuzzy interval ; controller ; sychronization

Abstract

A general design strategy is presented using statistical error-based controller structures to improve the synchronization of chaotic oscillators. Such oscillators arise in both biological and aero-dynamical settings where drive tracking is important. Here fuzzy interval-based representations of nonlinear terms associated with the response oscillator are used to provide initial controller estimates that are then updated using a proposed error-based controller design generated from statistical moments of the uncoupled response dynamics. This scheme enhances convergence and reduces the relative error between the drive and response oscillator. Such an approach is particularly applicable to the problem of stabilizing unmanned aerial vehicles (UAVs) in group flight formations where the goal is to maintain a given positional flight configuration until override commands are provided to individual units.