An interpolation approach for robust constrained output feedback

In this paper, we consider the regulation problem for uncertain linear discrete time systems with bounded disturbance, bounded input and bounded output. Based on the input-output representation, an extended state space model is constructed via the delayed inputs and outputs of the systems and hence there is no need for any estimate of the unmeasured states. The control is obtained using an interpolation technique, which assures feasibility and a robustly asymptotically stable closed loop behavior.