A Constrained Scalar Control for the Motion of a System of Oscillators with Damping Residual Oscillations

摘要

The problem of scalar control of a finite or countable system of oscillators mounted on a common base is considered. The control is conducted by a scalar bounded force applied to the base. A wide circle of control problems for systems with distributed parameters and many-mass systems can be reduced to the considered statement. A method for solving the problem of constructing a control bounded in modulus that steers the base from a given state to the origin for a finite time and provides that there are no residual oscillations is developed.