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 - 2005/12/1
Y1 - 2005/12/1
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
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M3 - Conference contribution
AN - SCOPUS:79960731371
SN - 008045108X
SN - 9780080451084
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 119
EP - 124
BT - Proceedings of the 16th IFAC World Congress, IFAC 2005
T2 - 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
Y2 - 3 July 2005 through 8 July 2005
ER -