DocumentCode :
1265024
Title :
Tracking inherent periodic orbits in chaotic dynamic systems via adaptive variable structure time-delayed self control
Author :
Yu, Xinghuo
Author_Institution :
Fac. of Inf. & Commun., Central Queensland Univ., Rockhampton, Qld., Australia
Volume :
46
Issue :
11
fYear :
1999
fDate :
11/1/1999 12:00:00 AM
Firstpage :
1408
Lastpage :
1411
Abstract :
Tracking inherent periodic orbits is of significance in chaos control research. In this paper, we propose an adaptive variable structure time-delayed self-control design using only partial information of states for tracking inherent unstable periodic orbits (UPO´s) in chaotic dynamic systems. Since the period of inherent UPO´s is usually difficult to obtain, a gradient-descent-based adaptive search algorithm for the time-delay constant is utilized. A variable structure control (VSC) mechanism is employed to create an attraction region about the UPO such that once the trajectory enters the region, it will stay in it forever. Due to the ergodicity of chaotic dynamics, such an attraction region is always reachable. Two well-known chaotic dynamics, the Duffing equation and the Lorenz system, are used to demonstrate the effectiveness of the proposed approach
Keywords :
adaptive control; chaos; control system analysis; delay estimation; tracking; variable structure systems; Duffing equation; Lorenz system; adaptive variable structure; attraction region; chaos control research; chaotic dynamic systems; chaotic dynamics; gradient-descent-based adaptive search algorithm; inherent periodic orbits; orbit tracking; time-delay constant; time-delayed self control; trajectory; unstable periodic orbits; Adaptive control; Adaptive systems; Chaos; Chaotic communication; Communication system control; Control systems; Equations; Force control; Orbits; Periodic structures;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.802846
Filename :
802846
Link To Document :
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