Journal Article

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

Tzong J. Tsai, Jason S. H. Tsai, Shu M. Guo and Guanrong Chen

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 23, issue 1, pages 43-66
Published in print March 2006 | ISSN: 0265-0754
Published online March 2006 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/dni043
An optimal linear-quadratic digital tracker for analog neutral time-delay systems

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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

Journal Article.  0 words. 

Subjects: Mathematics

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