A stable gain scheduled controller for a gas turbine engine that drives a variable pitch propeller is developed and described. 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 nonequilibrium points of the nonlinear closed-loop system. This approach guarantees stability of the closed-loop gas turbine engine system. To verify the stability of the closed-loop system on-line, an optimization problem is proposed, which is solvable using convex optimization tools. Simulation results show that the developed gain scheduled controller is capable to regulate a turboshaft engine for large thrust commands in a stable fashion with proper tracking performance.
Gain Scheduled Control of Gas Turbine Engines: Stability and Verification
Contributed by the Aircraft Engine Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received August 29, 2013; final manuscript received September 30, 2013; published online November 14, 2013. Editor: David Wisler.This material is declared a work of the US Government and is not subject to copyright protection in the United States. Approved for public release; distribution is unlimited.
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Pakmehr, M., Fitzgerald, N., Feron, E. M., Shamma, J. S., and Behbahani, A. (November 14, 2013). "Gain Scheduled Control of Gas Turbine Engines: Stability and Verification." ASME. J. Eng. Gas Turbines Power. March 2014; 136(3): 031201. https://doi.org/10.1115/1.4025637
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