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

16 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
DOIs
StatePublished - Dec 17 2013
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

Other

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

ASJC Scopus subject areas

  • Engineering(all)

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