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IMA Journal of Mathematical Control and Information 2005 22(3):266-284; doi:10.1093/imamci/dni027
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© The Author 2005. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved.

Equivalent linear observer-based tracker for stochastic chaotic system with delays and disturbances

Yu Y. Lee1, Jason S. H. Tsai1 *, Leang S. Shieh2 and Guanrong Chen3

1 Department of Electrical Engineering, National Cheng-Kung University, Tainan 701, Taiwan, Republic of China, 2 Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204-4005, USA, 3 Department of Electronic and Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, Peoples' Republic of China

Based on the state-space self-tuning control methodology, a unified method for determining the equivalent linear observer-based tracker for a stochastic chaotic system with input and state delays and deterministic disturbances is developed. In this approach, an equivalent linear observer is obtained for the concerned complex system, which may have unknown system parameters, system and measurement noises, and inaccessible system states. More precisely, an equivalent delay-free system is obtained in the estimating process of the self-tuning control loop, and then a linear controller and an observer are designed. The proposed method significantly simplifies the design and the implementation procedures of the tracker.

Keywords: self-tuning control; time-delayed system; stochastic system; orbit tracker.

* Corresponding author. Email: shtsai{at}mail.ncku.edu.tw



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