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

TL;DR

This paper presents a new method for designing static output feedback controllers that ensure stability of uncertain rational nonlinear systems with input saturation, using dissipativity and linear matrix inequalities.

Contribution

It introduces a novel approach combining dissipativity theory and sector conditions for static output feedback design without restrictions on the plant output.

Findings

Successfully stabilizes uncertain nonlinear systems with input saturation.

Maximizes the estimated region of attraction.

Validated through numerical examples from literature.

Abstract

In this paper, the notion of robust strict QSR-dissipativity 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 synthesis of a stabilizing controller in terms of linear matrix inequalities. The strategy applies to general static output feedback design without any restrictions on the plant output equation. An iterative algorithm based on linear matrix inequalities is proposed in order to compute the feedback gain matrix that maximizes the estimate of the closed-loop region of attraction. Numerical examples are provided to illustrate the applicability of this new approach in examples borrowed from the literature.