Compensation of Perturbations in a Linear Optimal System on the Basis of Parametrization of the Lourie-Riccati Equation

摘要

The method of compensation of parametric perturbations in a system with the linear-quadratic regulator based on approximate recalculation of an optimization problem, which needs no new solving the Lourie-Riccati equation, is proposed. For compensation of parametric perturbations of the controlled object the additional feedback by a state- compensating regulators, are proposed to be used. On the basis of results of parametrization of the matrix algebraic Lourie-Riccati equation, the total set of compensated perturbations as well as the corresponding to it set of compensating regulators are found.