THE ALMOST DISTURBANCE DECOUPLING PROBLEM WITH INTERNAL STABILITY FORLINEAR-SYSTEMS SUBJECT TO INPUT SATURATION - STATE-FEEDBACK CASE

We consider the almost disturbance decoupling problem (ADDP) and/or al most D-bounded disturbance decoupling problem ((ADDP)(D)) with interna l stability for linear systems subject to input saturation and input-a dditive disturbance via linear static state feedback. We show that the almost D-bounded disturbance decoupling problem with local asymptotic stability ((ADDP/LAS)(D)) is always solvable via linear static state feedback as long as the system in the absence of input saturation is s tabilizable, no matter where the poles of the open-loop system are, an d the locations of these poles play a role only in the solution of (AD DP/GAS)(D), (ADDP/SGAS)(D) or ADDP/GAS where semi-global or global asy mptotic stability is required.