Gain Scheduling Control of Gas Turbine Engines: Stability by Computing a Single Quadratic Lyapunov Function

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2013
Accession Number
ADA588152

Entities

People

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

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Control Systems
  • Control Systems Engineering
  • Engineering
  • Engineers
  • Equations
  • Flow
  • Gas Turbines
  • Lyapunov Functions
  • Mechanical Engineering
  • Propellers
  • Simulations
  • Turbine Components
  • Turbines
  • Turbofan Engines
  • Turboshaft Engines
  • Variable Pitch Propellers

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Aerospace Engineering
  • Control Systems Engineering.