МАТЕМАТИЧЕСКИЙ АНАЛИЗ УСТОЙЧИВОСТИ МАЯТНИКА ФУРУТЫ НА ОСНОВЕ ПРЯМОГО МЕТОДА ЛЯПУНОВА
Journal Title: World Science - Year 2018, Vol 1, Issue 5
Abstract
The rapid development of science allows modernizing existing objects and creating more complex dynamically unstable, oscillatory ones, which we can apply in aviation, astronautics, robotics, and manipulators. At the same time, the complexity of the design and the characteristics of external influences do not allow us to compile a complete mathematical description of the object. It is possible to study similar problems with the help of analogues, one of which is Furuta's pendulum. However, for the synthesis of control systems, it is necessary to study the stability of dynamically unstable objects. The most common method for determining equilibrium positions is the direct method of Lyapunov that determines the flow of excess energies depending on the properties of the mechanisms in question.
Authors and Affiliations
Ефим Сергеевич Роенко
Keywords
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