Eigenvalue structure of the predictor feedback for discrete-time LTI systems

Lorlynn Asuncion Mateo, Kentaro Hirata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The discrete-time predictor feedback system was designed to compensate for constant input delays based on d-step ahead state predictions in discrete-time linear time-invariant systems. The entire spectrum, initially investigated by numerical computation, shows that aside from the eigenvalues of A + BK, there are other eigenvalues located about the origin. Existing literature only focuses on the spectrum coinciding with that of A + BK, but, in this study, we extended previous results by considering the full state of the system to obtain the eigenvalues mathematically. In contrast to the continuous-time case, it is important to note that the discrete-time delay system is finite-dimensional. From this viewpoint, we started our analysis from the state space representation to construct a proof that derives the poles of the closed-loop system. Furthermore, as a preliminary step, we attempt a frequency domain analysis by considering nonzero initial conditions in taking the Z-transform of the system with an example.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Industrial Technology
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages67-72
Number of pages6
ISBN (Print)9781479939398
DOIs
Publication statusPublished - Sep 9 2014
Externally publishedYes
Event2014 IEEE International Conference on Industrial Technology, ICIT 2014 - Busan, Korea, Republic of
Duration: Feb 26 2014Mar 1 2014

Other

Other2014 IEEE International Conference on Industrial Technology, ICIT 2014
CountryKorea, Republic of
CityBusan
Period2/26/143/1/14

Fingerprint

Z transforms
Frequency domain analysis
Closed loop systems
Poles
Time delay
Feedback

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications

Cite this

Mateo, L. A., & Hirata, K. (2014). Eigenvalue structure of the predictor feedback for discrete-time LTI systems. In Proceedings of the IEEE International Conference on Industrial Technology (pp. 67-72). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIT.2014.6894974

Eigenvalue structure of the predictor feedback for discrete-time LTI systems. / Mateo, Lorlynn Asuncion; Hirata, Kentaro.

Proceedings of the IEEE International Conference on Industrial Technology. Institute of Electrical and Electronics Engineers Inc., 2014. p. 67-72.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mateo, LA & Hirata, K 2014, Eigenvalue structure of the predictor feedback for discrete-time LTI systems. in Proceedings of the IEEE International Conference on Industrial Technology. Institute of Electrical and Electronics Engineers Inc., pp. 67-72, 2014 IEEE International Conference on Industrial Technology, ICIT 2014, Busan, Korea, Republic of, 2/26/14. https://doi.org/10.1109/ICIT.2014.6894974
Mateo LA, Hirata K. Eigenvalue structure of the predictor feedback for discrete-time LTI systems. In Proceedings of the IEEE International Conference on Industrial Technology. Institute of Electrical and Electronics Engineers Inc. 2014. p. 67-72 https://doi.org/10.1109/ICIT.2014.6894974
Mateo, Lorlynn Asuncion ; Hirata, Kentaro. / Eigenvalue structure of the predictor feedback for discrete-time LTI systems. Proceedings of the IEEE International Conference on Industrial Technology. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 67-72
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