Adaptive Control System for Nonlinear Unsertant Object with Magnetic Levitation

Student: Razhnov Bogdan

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

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2019

The object of research in this paper is a nonlinear indefinite system with magnetic levitation – MagLev ball. The aim of this work is the construction of adaptive control using the method of State Depended Coefficients (SDC), the solution of the Riccati equation depending on the state of system State Dependent Riccati Equation (SDRE). Firstly, the theory of solving the problems of finding the optimal control was presented, then the mathematical model of the problem was described, and an experiment was conducted in the MatLab Simulink program, during which the system was modeled and the control over it was visualized. As a result of modeling, adequate answers corresponding to common sense were obtained, which can be used in further studies of this question.

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