Open AccessMethod for optimal control of mechanical systems oscillations
Author(s) -
Yu. F. Golubev
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-33
Subject(s) - control theory (sociology) , servomechanism , position (finance) , degrees of freedom (physics and chemistry) , oscillation (cell signaling) , mechanical system , optimal control , rest (music) , amplitude , control (management) , mathematics , computer science , physics , control engineering , engineering , artificial intelligence , mathematical optimization , acoustics , finance , quantum mechanics , biology , economics , genetics
The problem of controlling oscillations in the vicinity of the equilibrium position of scleronomic mechanical systems with n degrees of freedom is solved. One degree of freedom is uncontrollable, and the rest are controlled by servos. A method is proposed for finding the optimal control of the oscillation amplitude of an uncontrollable degree of freedom by choosing the control of the law of change of other degrees of freedom. The controlled coordinates can include both position and cyclic coordinates. The effectiveness of the proposed method is demonstrated by the examples of specific oscillating systems.