Method for optimal control of mechanical systems oscillations

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.