Analytical Synthesis of the State Observer of a Bilinear Dynamic System with Vector Input

Abstract

The problem of estimating the state vector of a bilinear dynamic system with vector input is under consideration. It is shown that, with fulfillment of multiple constraints, a Luenberger state observer can be formed, with an estimation error tending to zero. A step-by-step algorithm for determining the observer coefficient matrices is proposed, based on matrix canonization and modal control methods.