By Gérard Gilles (auth.), A. J. Fossard, D. Normand-Cyrot (eds.)
Nonlinear Systems is split into 3 volumes. the 1st offers with modeling and estimation, the second one with balance and stabilization and the 3rd with regulate. This three-volume set offers the main complete and special reference to be had on nonlinear platforms. Written by way of a bunch of best specialists within the box, drawn from undefined, govt and educational associations, it offers a superior theoretical foundation on nonlinear regulate equipment in addition to useful examples and recommendation for engineers, academics and researchers operating with nonlinear structures. each one publication specializes in the applicability of the suggestions brought and retains the extent of arithmetic to a minimal. Simulations and business examples drawn from aerospace in addition to mechanical, electric and chemical engineering are given throughout.
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Extra resources for Nonlinear Systems: Modeling and Estimation 1
Example text
This approach was successfully applied to a refinery debutanizer. Another approach, proposed by Rouchon (1990) consists of: - concentrating the liquid holdups in a reduced number of trays, - transforming the differential equations into the corresponding steady state algebraic equations for the remaining trays. Excellent results were obtained on a refinery depropanizer and the simplified model was used to implement a nonlinear control law. 4 Bilinear modeling Consider a binary column for which the heat balances are replaced by the Lewis assumption - constant flowrates on each section of the column.
B. (1968). Processanalysisandsimulation, Wiley, New York. [18] JAOUAHRI S. (1980). Modelisation statique et dynamique d'un echangeur thermique aquatrefluides, Internal note LAG, Grenoble. [19] MORE J. J. AND M. Y. COSNARD (1979). Numerical solution of nonlinear equations, ACM Trans. Math. , 5, 1,64-68. R. AND P. LOTSTED. (1986). Numerical solution of nonlinear differential equations with algebraic constraints (II) - Practical implications, SIAM J. of Scientific and Statistical Computation, 7, 720-733.
Such models - which are themselves knowledge models - can be used for a wide range of processes. The full range of operation of a distillation column lies in a very restricted part of the domain of application of such models. Therefore, for a given process in this restricted domain, one can postulate the obtention of simpler representations of the thermodynamic properties without a significant loss of accuracy. For the considered process, the significant components and the bounds of the operating domain are assumed to be known: they come from the specification of the problem and from a basic knowledge of the process.