Robust disturbance rejection for left invertible systems with measurable and nonmeasurable disturbances

Abstract

The problem of robust disturbance rejection for left invertible linear systems, with nonlinear uncertain structure and with measurable and nonmeasurable disturbances, is studied and solved for the first time. The necessary and sufficient conditions for the problem to have a solution, via an independent of the uncertainties static feedback law, are established. The general explicit expression of the feedback matrix is derived. The feedback invariant poles are determined. Sufficient conditions for robust disturbance rejection with simultaneous robust stability, are established.