Modelling and dynamic feedback linearisation of a heat exchanger model

In this paper, a nonlinear lumped approximation model of a heat exchanger is derived from first principles. The use of dynamic state feedback to achieve feedback linearisation of the nonlinear heat exchanger model is investigated. Necessary and sufficient conditions for feedback linearisability are derived. A simple example is presented to complement the theory.<<ETX>>

[1]  Kumpati S. Narendra,et al.  Control of nonlinear dynamical systems using neural networks: controllability and stabilization , 1993, IEEE Trans. Neural Networks.

[2]  William E. Schiesser,et al.  Dynamic Modeling of Transport Process Systems , 1992 .

[3]  Franjo Jović,et al.  Process Control Systems , 1986 .

[4]  P. J. Erens,et al.  Analysis of spray-cooled finned-tube heat exchangers , 1992 .

[5]  A. Arapostathis,et al.  Linearization of discrete-time systems , 1987 .

[6]  Approximate and local linearizability of non-linear discrete-time systems , 1986 .

[7]  F. R. Gantmakher.  The Theory of Matrices , 1984 .

[8]  Olafur P. Palsson,et al.  Modeling and Parameter Estimation of Heat Exchangers—A Statistical Approach , 1992 .

[9]  Louis R. Hunt,et al.  Right coprime factorizations and stabilization for nonlinear systems , 1993, IEEE Trans. Autom. Control..

[10]  W. Sluis.  A necessary condition for dynamic feedback linearization , 1993 .

[11]  H. Rake,et al.  Identification of a Large Water-Heated Crossflow Heat Exchanger with Binary Multifrequency Signals , 1985 .

[12]  M. Korenberg,et al.  The nonlinear identification of a heat exchanger , 1987, 26th IEEE Conference on Decision and Control.

[13]  B. Jakubczyk.  Feedback linearization of discrete-time systems , 1987 .

[14]  George Stephanopoulos,et al.  Chemical Process Control: An Introduction to Theory and Practice , 1983 .

[15]  L. Mirsky,et al.  The Theory of Matrices , 1961, The Mathematical Gazette.

[16]  S. Billings,et al.  The Practical Identification of Systems with Nonlinearities , 1985 .

[17]  J. A. De Abreu-Garcia,et al.  Modelling and simulation of a heat exchanger , 1991, IEEE 1991 International Conference on Systems Engineering.

[18]  John Tsinias.  Stabilization of non-linear control systems to subspaces , 1987 .