Nonlinear dynamic output feedback stabilization of Moore-Greitzer models with quadratic constraints

Here, we propose a new procedure for output feedback design for systems with nonlinearities satisfying quadratic constraints. It provides an alternative for the classical observer-based design and relies on transformation of the closed-loop system with a dynamic controller of particular structure into a special block form. Asymptotic stability is shown using Lyapunov theory with strictly positive realness and a circle-theorem approach. The result is relevant for control and stability analysis of Moore-Greitzer models of compressor systems.