Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:B2L-D
Session:
Number:B2L-D-2
Chaos Control Method Based on the Stability Transformation Method Utilizing the Occasional Proportional Feedback Control
Viet Hung Nguyen, Tadashi Tsubone,
pp.467-470
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
In this paper, we consider a novel chaos control method based on the Stability Transformation Method for the continuous-time chaotic systems. Previously, we have proposed a stabilization method that can stabilize unknown unstable periodic orbits embedded in chaotic attractors in continuous-time dynamical systems detected via the approach of the Stability Transformation Method. However, the application range of this control method has been restricted since the method requires discontinuity of state variables. This paper presents a stabilization method of unknown unstable periodic orbits without state-jump dynamics by utilizing the Occasional Proportional Feedback technique. The stability of the control system is theoretically analyzed. Some results are verified by laboratory measurements.