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IMA Journal of Mathematical Control and Information Advance Access published online on July 12, 2005
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dni043
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Institute of Mathematics and its Applications 2005; all rights reserved for permissions please email: journals.permissions@oupjournals.org
Received April 8, 2004
Accepted November 2, 2004

Article

An optimal linear-quadratic digital tracker for analog neutral time-delay systems

Tzong J. Tsai 1, Jason S. H. Tsai 1*, Shu M. Guo 2, and Guanrong Chen 3

1 Control System Laboratory, Department of Electrical Engineering, National Cheng Kung University, Tainan 701, Taiwan, Republic of China
2 Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan 701, Taiwan, Republic of China
3 Department of Electronic and Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, People's Republic of China

* To whom correspondence should be addressed.
Jason S. H. Tsai, E-mail: shtsai{at}mail.ncku.edu.tw


  Abstract

In this paper, an optimal hybrid tracking control problem for continuous neutral time-delay systems is formulated and studied. An optimal linear integral quadratic cost function that has a high-gain property is used for tracking control specification. Two interpolation methods are applied to directly convert the original analog neutral time-delay system into an equivalent digital retarded time-delay system, and meanwhile convert the continuous-time quadratic cost function into a discretized form. Then, an extended state vector is constructed for an associate extended discrete-time optimal control problem without time delay. Using the standard discrete-time linear-quadratic optimal control theory and an indirect digital redesign technique with a predictive feature, an effective digital tracker is designed for the original analog neutral time-delay system. An example is finally given for illustrating the effectiveness of the new tracker design method.

Keywords: optimal control; neutral time-delay systems; retarded delay system; digital redesign.
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