YANXING SONG
Faculty of Informatics and Communication, Central Queensland University, Rockhampton QLD 4702, Australia
XINGHUO YU
Faculty of Informatics and Communication, Central Queensland University, Rockhampton QLD 4702, Australia
GUANRONG CHEN
Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, P. R. China
JIAN-XIN XU
Department of Electrical Engineering, National University of Singapore, Singapore
YU-PING TIAN
Department of Automatic Control, Southeast University, Nanjing, P. R. China

Received 30 December 2000
Revised 1 October 2001

In this paper, a time-delayed chaos control method based on repetitive learning is proposed. A general repetitive learning control structure based on the invariant manifold of the chaotic system is given. The integration of the repetitive learning control principle and the time-delayed chaos control technique enables adaptive learning of appropriate control actions from learning cycles. In contrast to the conventional repetitive learning control, no exact knowledge (analytic representation) of the target unstable periodic orbits is needed, except for the time delay constant, which can be identified via either experiments or adaptive learning. The controller effectively stabilizes the states of the continuous-time chaos on desired unstable periodic orbits. Simulations on the Duffing and Lorenz chaotic systems are provided to verify the design and analysis.

Time-delay; chaos control; learning control