Identification Problem for Determining the Parameters of a Discrete Dynamic System
An identification problem is considered. It allows determining the parameters of a dynamic system in the discrete case. First, the nonlinear discrete equation is linearized by the method of quasi-linearization. Then, the quadratic functional and its gradient are derived using statistical data. A calculation algorithm is proposed to solve the problem. It is shown by way of an example that the statistical value of the coefficient of hydraulic resistance differs from the calculated value by 10–4. This is indicative of the adequacy of the mathematical model.
Keywordsdynamic system nonlinear discrete equation method of quasi-linearization gradient of functional identification statistical data coefficient of hydraulic resistance
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