Polynomial approach is used to explain the partial improvement in single-input, single-output (SISO) linear quadratic computer control design. It consists of input signals anticipation which is always applicable if external inputs to the process are known in advance. The open-loop structure is considered in this first part while the second part of the work will concern the feedback LQ control.
49N40, 93B51, 93C55, 93C05, 49N10