Statistical Error-Based Controller Design of Hybrid Systems with Mixed Time Delays

• Activity Number: 77
• Type: Contributed
• Date/Time: Sunday, August 3, 2014 : 4:00 PM to 5:50 PM
• Sponsor: Section on Physical and Engineering Sciences
• Author(s): Morris Morgan*+ and Carolyn Bradshaw Morgan
• Companies: Hampton University and Hampton University
• Keywords: statistical error design ; controls ; synchronization ; hybrid systems

Abstract

The authors have recently shown that an error-based controller design method can be used to successful synchronize general chaotic systems with no inherent time delays. This approach employed interval estimates obtained from initial error distributions of the response state variables to formulate an interval representation of the original response system that provided stability requirements for the controller design. In specific cases where the number of controller parameters equals the number of state variables, a system of linear constraint equations arose that lead to a direct solution for the required controller gains. In the present investigation, this robust approach is extended to hybrid systems where the design goal is to synchronize systems with and without inherent time delays. Such mixed designs are encountered in many physical and biological systems. Surprisingly, most past studies on coupled oscillator systems have avoided these hybrid models. However, our statistical error-based controller design method can be successfully extend to such time delay systems.