Paper Info
Title
Self-Tuning Approach To Stabilizing Unknown And Unstable Periodic Orbits
Abstract
We consider an improved control method based on the Stability Transformation Method. Stability Transformation Method detects unknown and unstable periodic orbits of chaotic dynamical systems. Based on the approach to realize the Stability Transformation Method in real systems, we have proposed a control method which can stabilize unknown and unstable periodic orbits embedded in chaotic attractors. However, setting of the control parameters of the control system has remained as unsolved issue. When the dynamics of a target system are unknown, the control parameters have to be set by trial and error. In this paper, we improve the control method with the automatic adjustment function of the control parameters. We show an example of stabilizing unstable periodic orbits of the 3-dimensional hysteresis chaos generator by using the proposed control method. Some results are confirmed by laboratory measurements. The results imply that any unknown and unstable periodic orbits can be stabilized by using the proposed method, if the target chaos system is reduced to 1-dimensional return map.
Year
DOI
Venue
2014
10.1587/transfun.E97.A.2212
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
controlling chaos, unknown and unstable periodic orbits, stability transformation method, 1-dimensional return map
Discrete mathematics,Control theory,Control of chaos,Self-tuning,Periodic orbits,Classical mechanics,Mathematics
Journal
Volume
Issue
ISSN
E97A
11
1745-1337
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Takumi Hasegawa100.34
Tadashi Tsubone2209.43