Optimal control of a two-mass system moving in a resistive medium along a straight line

摘要

A two-body system moving along a horizontal line in a nonlinear viscous medium is considered. One of the bodies (main body) interacts with the environment and with the other body (internal body), which interacts with the main body but does not interact with the environment. A periodic optimal motion of the internal body relative to the main body, which sustains the velocity-periodic motion of the main body and maximizes its average velocity, is defined by solving an optimal control problem.