Problems of stabilization and damping of external perturbations in control systems

Abstract

New criteria for output stabilizability of linear control systems using static
and dynamic regulators are obtained. It is shown that the arising algo-
rithms of stabilization are available for a certain class of nonlinear control
systems. Algorithms for constructing the control laws providing a specified
evaluation of the weighted damping level of input signals and initial per-
turbations and robust stability of the equilibrium state of control system
are proposed. The results are illustrated by an example for a stabilization
system of a single-link robot manipulator.