Abstract
This paper first discusses the D-pole placement problem of discrete time-delay systems. Some criteria are proposed to ensure that all the closed-loop eigenvalues of discrete systems with a time delay are located inside a specific disk D(α, r) centered at (α, 0) with radius r. Then, several sufficient conditions for guaranteeing the D-stability of discrete time-delay systems subjected to parametric perturbations are presented. Both unstructured and highly structured parametric perturbations are considered. By these sufficient conditions, the tolerable parametric perturbation bounds that ensure all the closed-loop poles of discrete time-delay perturbed systems to remain inside the desired disk D(α, r) can be estimated. Finally, illustrative examples are given for demonstration.
| Original language | English |
|---|---|
| Pages (from-to) | 213-219 |
| Number of pages | 7 |
| Journal | Systems and Control Letters |
| Volume | 19 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1992 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science(all)
- Mechanical Engineering
- Electrical and Electronic Engineering
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D-stability analysis for discrete systems with a time delay. / Lee, Chien Hua; Li, Tzuu-Hseng S.; Kung, Fan Chu.
In: Systems and Control Letters, Vol. 19, No. 3, 01.01.1992, p. 213-219.Research output: Contribution to journal › Article
TY - JOUR
T1 - D-stability analysis for discrete systems with a time delay
AU - Lee, Chien Hua
AU - Li, Tzuu-Hseng S.
AU - Kung, Fan Chu
PY - 1992/1/1
Y1 - 1992/1/1
N2 - This paper first discusses the D-pole placement problem of discrete time-delay systems. Some criteria are proposed to ensure that all the closed-loop eigenvalues of discrete systems with a time delay are located inside a specific disk D(α, r) centered at (α, 0) with radius r. Then, several sufficient conditions for guaranteeing the D-stability of discrete time-delay systems subjected to parametric perturbations are presented. Both unstructured and highly structured parametric perturbations are considered. By these sufficient conditions, the tolerable parametric perturbation bounds that ensure all the closed-loop poles of discrete time-delay perturbed systems to remain inside the desired disk D(α, r) can be estimated. Finally, illustrative examples are given for demonstration.
AB - This paper first discusses the D-pole placement problem of discrete time-delay systems. Some criteria are proposed to ensure that all the closed-loop eigenvalues of discrete systems with a time delay are located inside a specific disk D(α, r) centered at (α, 0) with radius r. Then, several sufficient conditions for guaranteeing the D-stability of discrete time-delay systems subjected to parametric perturbations are presented. Both unstructured and highly structured parametric perturbations are considered. By these sufficient conditions, the tolerable parametric perturbation bounds that ensure all the closed-loop poles of discrete time-delay perturbed systems to remain inside the desired disk D(α, r) can be estimated. Finally, illustrative examples are given for demonstration.
UR - http://www.scopus.com/inward/record.url?scp=0026927257&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026927257&partnerID=8YFLogxK
U2 - 10.1016/0167-6911(92)90115-9
DO - 10.1016/0167-6911(92)90115-9
M3 - Article
AN - SCOPUS:0026927257
VL - 19
SP - 213
EP - 219
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
IS - 3
ER -