Parameter Identification of Dynamic Systems

Dietmar P. F. Moeller
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Dietmar P. F. Moeller: California State University, Chico College of Engineering, Computer Science and Technology O’Connel Technology Center

Chapter 5 in Mathematical and Computational Modeling and Simulation, 2004, pp 257-310 from Springer

Abstract: Abstract As shown in Chap. 1, there are two different approaches building a model of a real-world system, the theoretical one, based on the derivation of the essential physical relationships of the real-world system, and the empirical one, based on experiments with the real-world system. Practical approaches combine both. The difficulty in implementing a mathematical model, developed theoretically, is that not all important system parameters, appearing in the model equations as some coefficients, are known a priori. Unknown parameter values can be determined through experiments with the real-world system. This can, in principle, be done through evaluation of the data measured at the system input and output by the use of parameter-identification methods, which will work either in a direct manner, as shown in Fig. 5.1, or in an indirect way, by using an adjustable-parameter vector, which is part of the mathematical model, as shown in Fig. 5.2. Hence the parameter-identification method can be stated as a link between data and models.

Keywords: Parameter Identification; Parameter Vector; Identification Model; True Model; Identification Task (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-18709-4_5

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