Feedback control of temperature in solids with a finite speed of heat propagation is investigated in this work. The emphases are placed on the effect of rapid thermal relaxation in high-rate heating and the possible delay during the short-time operations. Fundamental characteristics and dominating parameters are identified for effective feedback control in proportional heating. Transient instability, including the intrinsic transition from the desirable stability, neutral stability, to the ultimate unstable response are investigated in a wide spectrum of heating rates. Delayed heating is found to have a destabilizing effect during the short-time transient.
Thermal Control in Solids With Rapid Relaxation
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division July 6 2000; final revision. April 22, 2003. Associate Editor: Rahn.
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Tzou, D. Y. (January 29, 2004). "Thermal Control in Solids With Rapid Relaxation ." ASME. J. Dyn. Sys., Meas., Control. December 2003; 125(4): 563–568. https://doi.org/10.1115/1.1636196
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