Robust non-fragile control of a class of nonlinear uncertain systems

Abstract

This paper proposes a method to design a stabilizing Robust non-fragile control of uncertain polynomial systems. Based on a quadratic Lyapunov Function, a sufficient stabilization conditions are proposed. An LMI-based optimization problem is then derived for computing the state feedback gains of the closed-loop system with maximization of the stability robustness bound. The effectiveness of the proposed robust control scheme is illustrated through numerical simulations on a numerical example.