Abstract
A mixed Galerkin formulation for reduced-order modeling is presented for controller design of distributed parameter systems with boundary inputs. A null space approach is established to yield appropriate trial and test functions by using candidate trial functions which are free from boundary conditions. The approach is applicable, with considerably mild conditions on the candidate trial functions, on the interior domain as well as its boundaries. It is shown that this modeling technique yields a finite dimensional descriptor system of index 1, that is equivalent to a state-space representation suitable for controller design model. Effectiveness of the proposed method is demonstrated by an example of a heat conduction rod using polynomial functions which are not preprocessed to meet the boundary conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 7133-7138 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 50 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jul 1 2017 |
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Keywords
- Boundary conditions
- Distributed parameter systems
- Method of weighted residuals
- Reduced-order models
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
On Mixed Galerkin Modeling for Controller Design of Boundary Control Systems. / Imai, Jun; Noso, Katsuyuki; Takahashi, Akiko; Funabiki, Shigeyuki.
In: IFAC-PapersOnLine, Vol. 50, No. 1, 01.07.2017, p. 7133-7138.Research output: Contribution to journal › Article
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TY - JOUR
T1 - On Mixed Galerkin Modeling for Controller Design of Boundary Control Systems
AU - Imai, Jun
AU - Noso, Katsuyuki
AU - Takahashi, Akiko
AU - Funabiki, Shigeyuki
PY - 2017/7/1
Y1 - 2017/7/1
N2 - A mixed Galerkin formulation for reduced-order modeling is presented for controller design of distributed parameter systems with boundary inputs. A null space approach is established to yield appropriate trial and test functions by using candidate trial functions which are free from boundary conditions. The approach is applicable, with considerably mild conditions on the candidate trial functions, on the interior domain as well as its boundaries. It is shown that this modeling technique yields a finite dimensional descriptor system of index 1, that is equivalent to a state-space representation suitable for controller design model. Effectiveness of the proposed method is demonstrated by an example of a heat conduction rod using polynomial functions which are not preprocessed to meet the boundary conditions.
AB - A mixed Galerkin formulation for reduced-order modeling is presented for controller design of distributed parameter systems with boundary inputs. A null space approach is established to yield appropriate trial and test functions by using candidate trial functions which are free from boundary conditions. The approach is applicable, with considerably mild conditions on the candidate trial functions, on the interior domain as well as its boundaries. It is shown that this modeling technique yields a finite dimensional descriptor system of index 1, that is equivalent to a state-space representation suitable for controller design model. Effectiveness of the proposed method is demonstrated by an example of a heat conduction rod using polynomial functions which are not preprocessed to meet the boundary conditions.
KW - Boundary conditions
KW - Distributed parameter systems
KW - Method of weighted residuals
KW - Reduced-order models
UR - http://www.scopus.com/inward/record.url?scp=85031815232&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85031815232&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2017.08.549
DO - 10.1016/j.ifacol.2017.08.549
M3 - Article
AN - SCOPUS:85031815232
VL - 50
SP - 7133
EP - 7138
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8963
IS - 1
ER -