Development of methods for identification of mathematical models for the technological objects with uncertainties
DOI:
https://doi.org/10.31548/energiya2019.04.056Abstract
Abstract. In the practical implementation of robust control methods for technological objects, a problem arose along with the identification of the mathematical model of the object, the identification of uncertainties. This raises several questions: the choice of the structure of uncertainties; calculation of the range of uncertainty.
The aim of the work is to develop generalized methods for identifying mathematical models of technological objects oriented to robust control. This will allow the efficient use of robust control systems and will lead to increased energy efficiency of the system as a whole.
Two methods for identifying mathematical models with interval uncertainties are proposed: empirical simple and with using randomization. The methodology is based on phased procedures, including the experiment, the identification of parameters in the nominal mode, as well as the identification of the interval uncertainty of the parameters of the mathematical model. The use of randomization methods, in particular bootstrap and jackknife at the stage of identification of the nominal model and interval uncertainty, allows to reducing the number and time of experiments, as well as increasing the accuracy of the estimates obtained. The advantages of both methods are the simplicity and intuitiveness of the obtained solutions.
Key words: mathematical model, identification, uncertainty, technological objectReferences
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