Stabilization of discrete-time multi-integral systems with input constraint

This paper presents global stabilization results of linear discrete-time multi-integral systems subject to input constraints. Nonlinear feedback control schemes are proposed to control a class of discrete-time systems with multiple integrators and arbitrary zeros. An augmented system is introduced, based on which control laws are derived. This allows easy handling of the system with arbitrary zeros and achieving global stabilization results. Stabilization of a tracking control system is analyzed and a simulation study is carried out. The results obtained show the effectiveness of the proposed system.