Estudo da estabilidade de sistemas via LMI's

Abstract

This report addresses the design of controllers for linear time invariant continuous (LTI-C) systems using the state-feedback methodology. The stability of the closed-loop system is analyzed from the perspective of Lya punov’s Theorem, which leads to a stability condition in the form of a matrix inequality. The inherent non-linearity of this inequality is overcome through a change of variables, transforming the controller design problem into a convex optimization problem involving Linear Matrix Inequalities (LMIs).