Abstract
This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of L2 gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay-independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs.
| Original language | English |
|---|---|
| Pages (from-to) | 505-520 |
| Number of pages | 16 |
| Journal | Kybernetika |
| Volume | 37 |
| Issue number | 4 |
| Publication status | Published - 2001 |
Fingerprint
ASJC Scopus subject areas
- Human-Computer Interaction
- Control and Systems Engineering
Cite this
Infinite-dimensional LMI approach to analysis and synthesis for linear time-delay systems. / Ikeda, Kojiro; Azuma, Takehito; Uchida, Kenko.
In: Kybernetika, Vol. 37, No. 4, 2001, p. 505-520.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Infinite-dimensional LMI approach to analysis and synthesis for linear time-delay systems
AU - Ikeda, Kojiro
AU - Azuma, Takehito
AU - Uchida, Kenko
PY - 2001
Y1 - 2001
N2 - This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of L2 gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay-independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs.
AB - This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of L2 gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay-independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs.
UR - http://www.scopus.com/inward/record.url?scp=0035648514&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035648514&partnerID=8YFLogxK
M3 - Article
VL - 37
SP - 505
EP - 520
JO - Kybernetika
JF - Kybernetika
SN - 0023-5954
IS - 4
ER -