Compensation of External Perturbations under Uncertainty

The issue of compensating external perturbations by the appropriate choice of the feedback matrix is studied for a controlled linear stationary system with uncertainty. The task is to minimize the norm of the controller matrix on the condition that H-norm of the transfer matrix, which determines the effect of the external perturbations, does not exceed a given value. An algorithm based on linear matrix inequalities is proposed for synthesis of suboptimal controllers. Examples are given to appraise its efficiency.