Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on July 12, 2005
IMA Journal of Mathematical Control and Information 2006 23(1):43-66; doi:10.1093/imamci/dni043
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
23/1/43    most recent
dni043v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Tsai, T. J.
Right arrow Articles by Chen, G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

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

Tzong J. Tsai1, Jason S. H. Tsai1,**, Shu M. Guo2 and Guanrong Chen3

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

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

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.

Received on 8 April 2004. accepted on 2 November 2004.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.