Robust Stabilization Approach and H∞ Performance via Static Output Feedback for a Class of Nonlinear Systems

Abstract EN

This paper deals with the stability and stabilization problems for a class of discrete-time nonlinear systems.

The systems are composed of a linear constant part perturbated by an additive nonlinear function which satisfies a quadratic constraint.

A new approach to design a static output feedback controller is proposed.

A sufficient condition, formulated as an LMI optimization convex problem, is developed.

In fact, the approach is based on a family of LMI parameterized by a scalar, offering an additional degree of freedom.

The problem of performance taking into account an H∞ criterion is also investigated.

Numerical examples are provided to illustrate the effectiveness of the proposed conditions.