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An investigation of the effect of feedback on TLM nodes representing heat transfer. (English) Zbl 1095.80001
TLM (Transmission Line Method) is used for modelling thermal transients in heat transfer systems. Both the parabolic and the hyperbolic nodal parameterizations are considered. The authors show that the dynamics of a TLM node can be controlled by applying feedback. This method facilitates the choice of thermal actuation strategies for the control and shaping of transient thermal fields. The design of state feedback, applied via current generators, is developed algebraically and demonstrated numerically.

80A20 Heat and mass transfer, heat flow (MSC2010)
93B52 Feedback control
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
Full Text: DOI
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