By Peter Englezos
A reference and textbook delivering readers with crucial optimization equipment for parameter estimation in chemical engineering. The CD-ROM good points Fortran desktop courses for fixing equation platforms and different issues of Microsoft Excel and Sigma Plot. includes over 900 equations in all.
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Additional info for Applied Parameter Estimation for Chemical Engineers
Are never known exactly, whereas the residual (e;) corresponds to the estimated parameter values. The choice of the objective function is very important, as it dictates not only the values of the parameters but also their statistical properties. We may encounter two broad estimation cases. Explicit estimation refers to situations where the output vector is expressed as an explicit function of the input vector and the parameters. Implicit estimation refers to algebraic models in which output and input vec- tor are related through an implicit function.
As another example let us consider a complex batch reactor. We may have to consider the concentration of many intermediates and final products in order to describe the system over time. However, it is quite plausible that only very few species are measured. In several cases, the measurements could even be pools of several species present in the reactor. ,N. The initial condition x0, is also chosen by the experimentalist and it is assumed to be precisely known. It represents a very important variable from an experimental design point of view.
However, the fact that in such cases we have a system of high dimensionality requires particular attention. Parameter estimation for systems described by PDEs is examined in Chapter 11. 2 THE OBJECTIVE FUNCTION What type of objective function should we minimize? This is the question that we are always faced with before we can even start the search for the parame- ter values. In general, the unknown parameter vector k is found by minimizing a scalar function often referred to as the objective function.