Registration Number
0221U100555,
0120U100177
, R & D reports
Title
Analytical methods for studying control problems of multi-scale mechatronic systems
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Head
Hrushkovska Viktoriia V., Кандидат фізико-математичних наук
Registration Date
07-01-2021
Organization
Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine
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The project focuses on the development of effective methods for the control design, analysis of qualitative properties of trajectories of complex dynamical systems with external perturbations and certain physical processes, and their applications to modern control problems of multiscale mechatronic systems. A generic method for solving stabilization and optimization problems for underactuated systems is obtained. New control algorithms for the partial stabilization of control affine systems are presented. Such controls are applied to the leader-following problem in multi-agent systems and to the trajectory tracking problem. Sufficient conditions for the partial stabilization of the mechanical system by means of stochastic control are also proposed. A constructive control design method is developed for problem of observing the velocity of oscillations and determining the coefficients of elastic coupling of two Van der Pol oscillators. The improvement of the method of energy estimates is proposed to study the behavior of solutions to double nonlinear parabolic equations with power-like singular boundary data, regardless of the type of equation.
Product Description
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Yevgenieva Yevgeniia O.
Vasylieva Iryna H
Zhoholeva Nadiia V
Khoroshun Anatolii S.
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2021-03-17
