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Observers for Dynamical Systems Using Dynamical Neural Network

Student: Artem Borisov

Supervisor: Olga Andrianova

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Year of Graduation: 2020

This final qualification paper is devoted to the problem of restoring the state of a dynamic system. The purpose of this final qualification work is: • Building an identifier for a singular perturbed system • Evaluating the quality of this identifier • Numerical implementation of a singular perturbed system for a visual demonstration of the advantage of this identifier. An identifier based on a rational dynamic neural network has been proposed. The quality of this identifier was evaluated based on the derivative of the Lyapunov function on the system trajectories. The Enzyme-Substrate-Inhibitor system was chosen as an example of the system. The quality of the constructed identifier was compared with the classical identifier based on a dynamic neural network. The numerical implementation was performed in the MATLAB SIMULINK environment. This work contains 5 chapters, a conclusion, 14 illustrations, and a list of references from 35 sources.

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