M.D. Kozlov1

1 Saint-Petersburg State University of Aerospace Instrumentation (St. Petersburg, Russia)

1 kozlov_31kaf@bk.ru

Real physical objects are characterized by the mutual influence of the control signal and state variables, which limits the application of simple linear models and requires a transition to more complex nonlinear descriptions and their subsequent parametric synthesis. In this regard, the aim of the work is to develop a methodology for synthesizing bilinear dynamic models using the generalized Galerkin method, which makes it possible to describe the behavior of complex dynamic objects, significantly expanding the model’s operating range without significantly increasing the computational complexity compared to general nonlinear methods.

The article proposes a synthesis methodology that combines the stages of structural analysis of the object and numerical estimation of parameters based on experimental data regarding the system’s input and output; it is shown that the transition from a linear approximation to a bilinear description achieves the set goal.

The practical significance is confirmed using the example of a synchronous electric drive: the synthesized bilinear model, with parameters within the range of technical feasibility, provides high accuracy in describing the object while maintaining computational simplicity, which makes it suitable for direct integration into modern electric drive control algorithms.

Kozlov M.D. Synthesis of bilinear models of dynamic objects using the synchronous drive as an example // Achievements of Modern Radioelectronics. 2026. V. 80. № 9. P. 85−93. DOI: https://doi.org/10.18127/j20700784-202609-09

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