Gain Margins in a Class of Nonlinear Systems: Lyapunov approach

Abstract

In this paper, a novel concept of Gain Margin is defined and studied for a class of Nonlinear Systems specifically the Lur'e type. The corresponding algorithms for computing practical Gain Margins in such systems, based on Lyapunov's Second Method and Linear Matrix Inequalities, are introduced. The efficacy of the proposed algorithms is illustrated in tutorial examples.