An improved LMI approach for robust static output feedback stabilization of nonlinear system

This paper deals with the problem of robust stability for a class of nonlinear systems. The systems are composed of a linear constant part perturbated by an additive nonlinear function which satisfies a quadratic constraint. A new sufficient condition, formulated in terms of linear matrix inequality LMI, is presented for static output feedback stabilization. Numerical examples are given to illustrate the effectiveness of the proposed design methods.