Multivariable robust gain scheduled LPV control synthesis of turbofan engine

Abstract

The dramatic changes of dynamics characteristics of aeroengine, the aero dynamics effects together with the wide range of flight envelope, it is required that the controller can adapt to the large parameter variation range and has good robustness. To address the above problems, a new turbofan engine Multivariable robust gain scheduled LPV control algorithm based the closed-loop system regional pole assignment was brought forward. Firstly, to describe the dynamic performance of Multivariable turbofan engine under certain conditions, the Jacobian linearization method was used to obtain polynomial LPV model. Aiming at above LPV model, by using a LMI approach, a state feedback controller with the closed-loop system pole placement in a given region and with a signal Lapunov function was designed, which satisfy robust H ∞ performance requirement. The signal Lapunov function will simplify the solution process of the controller and will guarantee the global stability of the system in theory. Simulation results with a turbofan engine model demonstrate that the proposed controller can realize the accurate tracking of control commands and guarantee the global stability of the control system in the design envelope, and the control system has good robustness.