Abstract
We develop and describe a stable gain scheduling controller for a gas turbine engine that drives a variable pitch propeller. A stability proof is developed for gain scheduled closed-loop system using global linearization and linear matrix inequality (LMI) techniques. Using convex optimization tools, a single quadratic Lyapunov function is computed for multiple linearizations near equilibrium and non-equilibrium points of the nonlinear closed-loop system. This approach guarantees stability of the closedloop gas turbine engine system. Simulation results show the developed gain scheduling controller is capable of regulating a turboshaft engine for large thrust commands in a stable fashion with proper tracking performance.
Published in Proceedings of ASME Turbo Expo, 2013. Presented at the ASME Turbo Expo held in San Antonio, TX on 3-7 Jun 2013. Prepared in cooperation with the Schools of Aerospace Engineering and Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, and Aurora Flight Sciences Corporation, Manassas, VA.