Gain Scheduling Control of Gas Turbine Engines: Absolute Stability by Finding a Common Lyapunov Matrix

TL;DR

This paper presents a gain scheduling control approach for gas turbine engines, ensuring absolute stability through a novel Lyapunov-based stability proof using LMI techniques, applicable for large thrust commands.

Contribution

It introduces a new stability proof for gain scheduling control of gas turbines using global linearization and LMI methods, guaranteeing absolute stability.

Findings

Control architecture achieves stable operation for large thrust commands

Global linearization and LMI techniques ensure absolute stability

Control inputs include fuel flow and propeller pitch angle

Abstract

This manuscript aims to develop and describe gain scheduling control concept for a gas turbine engine which drives a variable pitch propeller. An architecture for gain-scheduling control is developed that controls the turboshaft engine for large thrust commands in stable fashion with good performance. Fuel ow and propeller pitch angle are the two control inputs of the system. New stability proof has been developed for gain scheduling control of gas turbine engines using global linearization and LMI techniques. This approach guarantees absolute stability of the closed loop gas turbine engine systems with gain-scheduling controllers.