Gain scheduling control of gas turbine engines: Stability by computing a single quadratic lyapunov function

Mehrdad Pakmehr*, Nathan Fitzgerald, Eric M. Feron, Jeff S. Shamma, Alireza Behbahani

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

15 Scopus citations

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 closed-loop 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.

Original languageEnglish (US)
Title of host publicationASME Turbo Expo 2013
Subtitle of host publicationTurbine Technical Conference and Exposition, GT 2013
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)9780791855188
DOIs
StatePublished - 2013
Externally publishedYes
EventASME Turbo Expo 2013: Turbine Technical Conference and Exposition, GT 2013 - San Antonio, Tx, United States
Duration: Jun 3 2013Jun 7 2013

Publication series

NameProceedings of the ASME Turbo Expo
Volume4

Conference

ConferenceASME Turbo Expo 2013: Turbine Technical Conference and Exposition, GT 2013
Country/TerritoryUnited States
CitySan Antonio, Tx
Period06/3/1306/7/13

ASJC Scopus subject areas

  • General Engineering

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