NONLINEAR MODELS IN THE DESIGN PROBLEM OF A STATIC OUTPUT-FEEDBACK FOR LINEAR-SYSTEMS OF AUTOMATIC-CONTROL

Using the algebraic theory of invariants, two nonlinear systems of equations are constructed which relate the unknown elements of the feedback matrix with parameters of a control system consisting of n states, m inputs, and p outputs, with the desired roots of the characteristic polynomial of a closed system. In the case of two inputs or outputs, sufficient conditions for convergence of an iterative procedure for solution of the design problem are obtained; if moreover m + p less-than-or-equal-to n less-than-or-equal-to 6, an analytic solution is determined. Examples are given.