Synthesis of multivariable systems of prescribed accuracy. Part 1. Use of procedures of LQ-optimization

A problem is stated for the synthesis of continuous controllers that ensure the desired accuracy of variables in the steady state under the effect of unmeasurable polyharmonic bounded (external) disturbances with unknown ampl itudes and frequencies. Conditions of problem solvability are found and syn thesis algorithms are developed for two kinds of plants on the basis of inv estigations of the frequency properties of linear-quadratic (LQ) optimal sy stems and the choice of coefficients of a quadratic optimization functional .