TY - JOUR
T1 - A finite-dimensional modeling of heat conduction systems with state distribution error bounds
AU - Imai, Jun
AU - Ando, Yasuaki
AU - Konishi, Masami
N1 - Funding Information:
I This work was supported by a Grant-in-Aid for Scientific Research (C)(2) from the Ministry of Education, Culture, Sorts, Science and Technology of Japan (No. 1455(451).
Funding Information:
1 This work was supported by a Grant-in-Aid for Scientific Research (C)(2) from the Ministry of Education, Culture, Sorts, Science and Technology of Japan (No. 14550451).
Publisher Copyright:
© 2004 IFAC.
PY - 2004
Y1 - 2004
N2 - In this paper we present finite-dimensional modeling of heat conduction systems with frequency and space-dependent error bounds where the eigenstruc-tures of the systems are only partially known. It is shown that steady state analysis for dc input of a system is used effectively in reduced order modeling and bounding errors for the whole spatial distribution of temperature. A class of nominal models is clarified with tight additive error bounds, and the nominal models as well as the uncertainty weights are explicitly described as simple real rational form of transfer functions. The feasibility of the presented scheme is demonstrated by a simple example of heat conduction in copper rod.
AB - In this paper we present finite-dimensional modeling of heat conduction systems with frequency and space-dependent error bounds where the eigenstruc-tures of the systems are only partially known. It is shown that steady state analysis for dc input of a system is used effectively in reduced order modeling and bounding errors for the whole spatial distribution of temperature. A class of nominal models is clarified with tight additive error bounds, and the nominal models as well as the uncertainty weights are explicitly described as simple real rational form of transfer functions. The feasibility of the presented scheme is demonstrated by a simple example of heat conduction in copper rod.
KW - Distributed-parameter systems
KW - Modelling errors
KW - Uncertainty
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U2 - 10.1016/S1474-6670(17)31696-8
DO - 10.1016/S1474-6670(17)31696-8
M3 - Conference article
AN - SCOPUS:85064457423
SN - 1474-6670
VL - 37
SP - 725
EP - 730
JO - IFAC Proceedings Volumes (IFAC-PapersOnline)
JF - IFAC Proceedings Volumes (IFAC-PapersOnline)
IS - 11
T2 - 10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004
Y2 - 26 July 2004 through 28 July 2004
ER -