Disturbance Decoupling Control for 2-D Linear Shift-Invariant Systems

Abstract

This paper discusses the disturbance decoupling problem, i. e. the feedback synthesis problem concerned with decoupling the system output from the effect of disturbances acting at the input, for 2-D linear shift-invariant systems. Exploration of this problem leads an extension of the well-known fundamental geometric concept of (A, B)-invariant subspace. With such an extension, some new sufficient/necessary conditions for the solvability as well as the corresponding algorithm to the problem under discussion are obtained, which, have improved the existing results.