State Feedback Stabilization of a Class of Nonlinear Discrete-Time Delay Systems
| Authors: | Bouazza Kheir Eddine, UHP Nancy I, CRAN- CNRS UMR 7039, France
Boutayeb Mohamed, LSIIT, Université Louis Pasteur, Strasbourg, France
Darouach Mohamed, UHP Nancy, CRAN- CNRS UMR 7039, France |
|---|
| Topic: | 2.3 Non-Linear Control Systems |
|---|
| Session: | Nonlinear Stabilization I |
|---|
| Keywords: | Nonlinear systems, time-delay systems, discrete-time systems, stabilization, state feedback, bounded state feedback, LMI |
|---|
Abstract
In this note we consider the problem of state feedback stabilization of a class of nonlinear discrete-time delay systems. From an appropriate Lyapunov function and judicious mathematical manipulations, we deduce a simple LMI condition (that may be checked easily) to ensure asymptotic stabilization. On the other hand, we provide two explicit state feedback laws that may be seen as a generalization of theexisting results on the stabilization of nonlinear systems. The approach developed in this note is simple (without state augmentation) and efficient.
