Koay, A. L.; Pulko, S. H.; Wilkinson, A. J. An investigation of the effect of feedback on TLM nodes representing heat transfer. (English) Zbl 1095.80001 Int. J. Numer. Model. 18, No. 6, 399-411 (2005). 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. Reviewer: Dan Polisevski (Bucureşti) Cited in 2 Documents MSC: 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 Keywords:TLM node; heat transfer feedback; current generators; transient modelling PDFBibTeX XMLCite \textit{A. L. Koay} et al., Int. J. Numer. Model. 18, No. 6, 399--411 (2005; Zbl 1095.80001) Full Text: DOI References: [1] Transmission Line Matrix (TLM) Techniques for Diffusion Applications. Gordon and Breach: London, 1998. · Zbl 0929.76003 [2] Pulko, International Journal of Numerical Modelling 15 pp 303– (2002) [3] Koay, Journal of Numerical Heat Transfer, Part B: Fundamentals 44 pp 347– [4] Cattaneo, Comptes Rendus Academie Science 247 pp 431– (1958) [5] Vernotte, Comptes Rendus Academie Science 246 pp 3154– (1958) [6] Kaminsci, Journal of Heat Transfer 112 pp 555– (1990) [7] Mitra, Journal of Heat Transfer 117 pp 568– (1995) [8] Witwit, International Journal of Numerical Modelling 8 pp 61– (1995) · Zbl 0824.35108 [9] , . Digital Control of Dynamic Systems. Addison-Wesley: Reading, MA, 1990. · Zbl 0697.93002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.