Abstract
A regulator problem for a heat conduction system, of which the eigenstructure is just partially known, is formulated to design a stabilizing controller that keeps a performance index less than a prescribed value. The index is made of the spatio integral of the squared deviation from reference temperature distribution. It is shown that through characterizing frequency response from input to temperature at each spatial point, a distributed parameter system with nominal model and additive uncertainty weight, both of which are real rational, is reconstructed using knowledge of the eigenstructure. A main result claims that the formulated problem is reduced to a standard mixed H2/H∞ one for a linear finite dimensional time-invariant system. Numerical study demonstrates feasibility of the proposed design scheme.
| Original language | English |
|---|---|
| Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Pages | 119-124 |
| Number of pages | 6 |
| Volume | 16 |
| Publication status | Published - 2005 |
| Event | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic Duration: Jul 3 2005 → Jul 8 2005 |
Other
| Other | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 |
|---|---|
| Country | Czech Republic |
| City | Prague |
| Period | 7/3/05 → 7/8/05 |
Fingerprint
Keywords
- Distributed-parameter systems
- Modeling errors
- Uncertainty
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
On regulator design for spatial temperature distribution using finite-dimensional modeling of heat equations. / Imai, Jun; Ando, Yasuaki; Konishi, Masami; Nishi, Tatsushi.
IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. p. 119-124.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - On regulator design for spatial temperature distribution using finite-dimensional modeling of heat equations
AU - Imai, Jun
AU - Ando, Yasuaki
AU - Konishi, Masami
AU - Nishi, Tatsushi
PY - 2005
Y1 - 2005
N2 - A regulator problem for a heat conduction system, of which the eigenstructure is just partially known, is formulated to design a stabilizing controller that keeps a performance index less than a prescribed value. The index is made of the spatio integral of the squared deviation from reference temperature distribution. It is shown that through characterizing frequency response from input to temperature at each spatial point, a distributed parameter system with nominal model and additive uncertainty weight, both of which are real rational, is reconstructed using knowledge of the eigenstructure. A main result claims that the formulated problem is reduced to a standard mixed H2/H∞ one for a linear finite dimensional time-invariant system. Numerical study demonstrates feasibility of the proposed design scheme.
AB - A regulator problem for a heat conduction system, of which the eigenstructure is just partially known, is formulated to design a stabilizing controller that keeps a performance index less than a prescribed value. The index is made of the spatio integral of the squared deviation from reference temperature distribution. It is shown that through characterizing frequency response from input to temperature at each spatial point, a distributed parameter system with nominal model and additive uncertainty weight, both of which are real rational, is reconstructed using knowledge of the eigenstructure. A main result claims that the formulated problem is reduced to a standard mixed H2/H∞ one for a linear finite dimensional time-invariant system. Numerical study demonstrates feasibility of the proposed design scheme.
KW - Distributed-parameter systems
KW - Modeling errors
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=79960731371&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79960731371&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:79960731371
SN - 008045108X
SN - 9780080451084
VL - 16
SP - 119
EP - 124
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
ER -