H2 performance via static output feedback for a class Of nonlinear systems

This paper deals with the 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 H₂ static output feedback controller is developed. It consists on a sufficient condition, formulated as an LMI optimization convex problem. In fact, the approach is based on a family of LMI parameterized by a scalar, offering an additional degree of freedom. Numerical example is provided to illustrate the effectiveness of the proposed conditions.