Phase Margins in a Class of Nonlinear Systems: Lyapunov, Circle Criterion and Describing Function Approaches

摘要

In this work, Phase Margins are studied for a class of Nonlinear Systems specifically the Lur’e type. New definitions are proposed for Practical Phase Margins in such systems and the corresponding computational algorithms are developed via Describing Function, Circle Criterion and Lyapunov methods. The efficacy of the proposed approaches are illustrated on a tutorial example.