Global Stabilization of Discrete-time Chain of Integrators by Saturated Feedback ?

The global stabilization problem for discrete-time n-th order integrators system with saturated input is considered. A new class of nested type nonlinear feedback law is proposed possessing new and useful characteristics. First, this approach allows the designer to pick some parameters that facilitate the placement of the closed-loop pole set consisting of some pairs of conjugate complex numbers having negative real parts when none of the saturation elements in the control laws is saturated. Only real numbers are allowed in the other existing results. Second, there are more free parameters in this class of nonlinear feedback laws that can be further used to improve performances of the closed-loop system. Third, this class of nonlinear feedback laws possesses very simple structure and is easy to implement in practice. Some simulative experiments confirm the good behavior in term of convergence performance of the closed-loop system comparing with some other existing techniques.