Abstract
This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.
| Original language | English |
|---|---|
| Pages (from-to) | 50-58 |
| Number of pages | 9 |
| Journal | Electronics and Communications in Japan |
| Volume | 98 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2015 May 1 |
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Keywords
- linear matrix inequality
- Lyapunov-Krasovskii functional
- output feedback
- performance weight
- time-delay systems
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Computer Networks and Communications
- Physics and Astronomy(all)
- Signal Processing
- Applied Mathematics
Cite this
Output feedback controller based on a complete quadratic Lyapunov-Krasovskii functional for time-delay systems. / Minagawa, Daiki; Uchimura, Yutaka.
In: Electronics and Communications in Japan, Vol. 98, No. 5, 01.05.2015, p. 50-58.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Output feedback controller based on a complete quadratic Lyapunov-Krasovskii functional for time-delay systems
AU - Minagawa, Daiki
AU - Uchimura, Yutaka
PY - 2015/5/1
Y1 - 2015/5/1
N2 - This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.
AB - This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.
KW - linear matrix inequality
KW - Lyapunov-Krasovskii functional
KW - output feedback
KW - performance weight
KW - time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=84926659994&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84926659994&partnerID=8YFLogxK
U2 - 10.1002/ecj.11739
DO - 10.1002/ecj.11739
M3 - Article
AN - SCOPUS:84926659994
VL - 98
SP - 50
EP - 58
JO - Electronics and Communications in Japan
JF - Electronics and Communications in Japan
SN - 1942-9533
IS - 5
ER -