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

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. Furthermore, 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. (C) 2022 Elsevier B.V. All rights reserved.

Automated summary

In this paper, the concept of robust strict QSR-dissipativity is used 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. By combining a local dissipativity condition with generalized sector conditions, the synthesis of a stabilizing controller is formulated in terms of linear matrix inequalities. Additionally, an iterative algorithm based on linear matrix inequalities is proposed to compute the feedback gain matrix that maximizes the estimate of the closed-loop region of attraction. Numerical examples are provided to demonstrate the applicability of this new approach.