Optimal Tracking Control for Discrete-time Systems with Time-delay Based on the Preview Control Method

Xu Haishan () and Liao Fucheng ()
Additional contact information
Xu Haishan: Zhengzhou Institute of Technology, Zhengzhou, 450000, China
Liao Fucheng: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

Journal of Systems Science and Information, 2019, vol. 7, issue 5, 452-461

Abstract: In this paper, the optimal tracking control problem for discrete-time with state and input delays is studied based on the preview control method. First, a transformation is introduced. Thus, the system is transformed into a non-delayed system and the tracking problem of the time-delay system is transformed into the regulation problem of a non-delayed system via processing of the reference signal. Then, by applying the preview control theory, an augmented system for the non-delayed system is derived, and a controller with preview function is designed, assuming that the reference signal is previewable. Finally, the optimal control law of the augmented error system and the optimal control law of the original system are obtained by letting the preview length of the reference signal go to zero.

Keywords: discrete-time systems; time-delay systems; optimal control; preview control (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.21078/JSSI-2019-452-10 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:7:y:2019:i:5:p:452-461:n:4

DOI: 10.21078/JSSI-2019-452-10

Access Statistics for this article

Journal of Systems Science and Information is currently edited by Shouyang Wang

More articles in Journal of Systems Science and Information from De Gruyter
Bibliographic data for series maintained by Peter Golla ().