Synthesis of Nonlinear State Feedback Control via Extended Quadratic Lyapunov Function

Convex Analysis Approach Using Linear Matrix Inequalities

Abstract

We show a synthesis method of nonlinear state feedback control for input-affine polynomial-type nonlinear systems. The method consists of having this problem result in convex programming and solving linear matrix inequalities. To demonstrate efficiency of this method, we also show acomputer simulation for abilinear model of a continuous stirred tank reactor.