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 language | English |
|---|---|
| Title of host publication | Proceedings of the IEEE International Conference on Industrial Technology |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 67-72 |
| Number of pages | 6 |
| ISBN (Print) | 9781479939398 |
| DOIs | |
| Publication status | Published - Sep 9 2014 |
| Externally published | Yes |
| Event | 2014 IEEE International Conference on Industrial Technology, ICIT 2014 - Busan, Korea, Republic of Duration: Feb 26 2014 → Mar 1 2014 |
Other
| Other | 2014 IEEE International Conference on Industrial Technology, ICIT 2014 |
|---|---|
| Country | Korea, Republic of |
| City | Busan |
| Period | 2/26/14 → 3/1/14 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Computer Science Applications
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Eigenvalue structure of the predictor feedback for discrete-time LTI systems
AU - Mateo, Lorlynn Asuncion
AU - Hirata, Kentaro
PY - 2014/9/9
Y1 - 2014/9/9
N2 - 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.
AB - 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.
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U2 - 10.1109/ICIT.2014.6894974
DO - 10.1109/ICIT.2014.6894974
M3 - Conference contribution
AN - SCOPUS:84907749896
SN - 9781479939398
SP - 67
EP - 72
BT - Proceedings of the IEEE International Conference on Industrial Technology
PB - Institute of Electrical and Electronics Engineers Inc.
ER -