Gain Scheduling Control of Gas Turbine Engines: Absolute Stability by   Finding a Common Lyapunov Matrix
  This manuscript aims to develop and describe gain scheduling control concept for a gas turbine engine which drives a variable pitch propeller. An architecture for gain-scheduling control is developed that controls the turboshaft engine for large thrust commands in stable fashion with good performance. Fuel ow and propeller pitch angle are the two control inputs of the system. New stability proof has been developed for gain scheduling control of gas turbine engines using global linearization and LMI techniques. This approach guarantees absolute stability of the closed loop gas turbine engine systems with gain-scheduling controllers. 
Mehrdad Pakmehr, Nathan Fitzgerald, Eric Feron, Jeff Shamma, Alireza   Behbahani
math.OC