Static output feedback stabilization of uncertain rational nonlinear systems with input saturation

Abstract

In this letter, the notion of robust strict QSRdissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric uncertainties. A local dissipativity condition is combined with generalized sector conditions to formulate the stabilization problem in terms of linear matrix inequalities. The strategy applies to general static output feedback design without any restrictions on the plant output matrix. An optimization problem is formulated in order to compute the feedback gain matrix that maximizes the estimate on the closed-loop region of attraction. Numerical examples are provided to illustrate the applicability of this new approach in examples adapted from the literature.