Identification of Friction Coefficients in the Hinge of a Controlled Physical Pendulum Using the Amplitudes of Steady-State Oscillations

A dynamic model of a controlled physical pendulum is considered. The Pontryagin method of searching for the periodic solutions to near-Hamiltonian systems is used to formulate a programmed law of pendulum oscillations such that the test modes of oscillations become steady and orbitally stable. An approach to identify the friction parameters in the hinge of the pendulum is proposed for the case of the active motor mode. This approach is based on the data available about the integral characteristics of motion. The motion of the system under consideration is numerically simulated.