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Identification of nonlinear systems using polynomial nonlinear state space models. (English) Zbl 1193.93089

Summary: We propose a method to model nonlinear systems using polynomial nonlinear state space equations. Obtaining good initial estimates is a major problem in nonlinear modelling. It is solved here by identifying first the best linear approximation of the system under test. The proposed identification procedure is successfully applied to measurements of two physical systems.

MSC:

93B30 System identification
93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
93C35 Multivariable systems, multidimensional control systems
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