Abstract
This paper considers synthesis problems of stabilizing dynamic output feedback controllers for linear time-delay systems via infinite-dimensional Linear Matrix Inequality (LMI) approach. We derive an existence condition and an explicit formula of dynamic output feedback controllers for linear time-delay systems, which guarantee the internal stability of the closed loop systems. The derived dynamic output feedback controllers can be interpreted as controllers which consist of memory state feedback controllers and memory observers. Next, we introduce a technique to reduce conditions for synthesis in the form of infinitedimensional LMIs to a finite number of LMIs. and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs. Finally we demonstrate the efficacy of the proposed dynamic output feedback controllers by a numerical case study.
| Original language | English |
|---|---|
| Pages (from-to) | 209-214 |
| Number of pages | 6 |
| Journal | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Volume | 36 |
| Issue number | 19 |
| DOIs | |
| Publication status | Published - 2003 Jan 1 |
| Event | 4th IFAC Workshop on Time Delay Systems, TDS 2003 - Rocquencourt, France Duration: 2003 Sep 8 → 2003 Sep 10 |
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Keywords
- Linear matrix inequality
- Linear time-delay systems
- Output feedback control
- Stabilization
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Memory observer-based output feedback control for linear time-delay systems. / Azuma, Takehito; Naito, Hiroyuki; Sagara, Seiichi; Fujita, Masayuki; Uchida, Kenko.
In: IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 36, No. 19, 01.01.2003, p. 209-214.Research output: Contribution to journal › Conference article
}
TY - JOUR
T1 - Memory observer-based output feedback control for linear time-delay systems
AU - Azuma, Takehito
AU - Naito, Hiroyuki
AU - Sagara, Seiichi
AU - Fujita, Masayuki
AU - Uchida, Kenko
PY - 2003/1/1
Y1 - 2003/1/1
N2 - This paper considers synthesis problems of stabilizing dynamic output feedback controllers for linear time-delay systems via infinite-dimensional Linear Matrix Inequality (LMI) approach. We derive an existence condition and an explicit formula of dynamic output feedback controllers for linear time-delay systems, which guarantee the internal stability of the closed loop systems. The derived dynamic output feedback controllers can be interpreted as controllers which consist of memory state feedback controllers and memory observers. Next, we introduce a technique to reduce conditions for synthesis in the form of infinitedimensional LMIs to a finite number of LMIs. and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs. Finally we demonstrate the efficacy of the proposed dynamic output feedback controllers by a numerical case study.
AB - This paper considers synthesis problems of stabilizing dynamic output feedback controllers for linear time-delay systems via infinite-dimensional Linear Matrix Inequality (LMI) approach. We derive an existence condition and an explicit formula of dynamic output feedback controllers for linear time-delay systems, which guarantee the internal stability of the closed loop systems. The derived dynamic output feedback controllers can be interpreted as controllers which consist of memory state feedback controllers and memory observers. Next, we introduce a technique to reduce conditions for synthesis in the form of infinitedimensional LMIs to a finite number of LMIs. and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs. Finally we demonstrate the efficacy of the proposed dynamic output feedback controllers by a numerical case study.
KW - Linear matrix inequality
KW - Linear time-delay systems
KW - Output feedback control
KW - Stabilization
UR - http://www.scopus.com/inward/record.url?scp=85058215375&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85058215375&partnerID=8YFLogxK
U2 - 10.1016/S1474-6670(17)33327-X
DO - 10.1016/S1474-6670(17)33327-X
M3 - Conference article
AN - SCOPUS:85058215375
VL - 36
SP - 209
EP - 214
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8963
IS - 19
ER -