Abstract
The present paper deals with the problem of controlling a class of distributed parameter flow systems, using dynamical lumped parameter controllers. The asymptotic stability of the closed loop transient response is investigated using a quadratic Lyapunov functional. A simple stability criterion is obtained in function of the controller's transfer matrix, allowing an easy design based on technical frequency domain specifications. As an application, the control of heat exchangers is extensively discussed. Both linear control, by varying the inlet temperatures, and nonlinear control using flow rates as input variables, are considered. The theoretical stability limits are computed and compared with results obtained by digital simulation.
The first author acknowledges the financial support of the Belgian National Fund for Scientific Research.
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© 1980 Springer-Veralg
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Derese, I., Noldus, E. (1980). Control of parallel current and countercurrent hèat exchangers. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004062
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DOI: https://doi.org/10.1007/BFb0004062
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10472-8
Online ISBN: 978-3-540-38489-2
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