Basic Dynamical Systems Control of Aeroengine Flow

TL;DR

This paper develops a control framework for aeroengine flow using dynamical systems theory, demonstrating controllability of surge and stall phenomena through optimal and basic control strategies with numerical validation.

Contribution

It introduces a novel control approach for the nonlinear viscous Moore-Greitzer model, including the design of a basic control for surge and stall management.

Findings

Stall is uncontrollable in the linearized model.

A basic control can effectively manage surge and stall.

Numerical simulations validate the control strategy.

Abstract

The notions of basic controllability and basic control are defined using dynamical systems theory of partial differential equations. A quadratic optimal control of the linearized viscous Moore-Greitzer equation is presented and it is confirmed that stall is uncontrollable in this model. A basic control is constructed for the nonlinear viscous Moore-Greitzer equation which can control both surge and stall. Numerical simulations of the basic control are presented.