基于混合区域极点配置的航空发动机全包线鲁棒变参数控制器设计

In order to solve the problem of multivariable robust gain-scheduling controller design of aeroengine in full envelope, a robust parameter-varying control algorithm based on mixed regional pole assignment was presented. Firstly, the Jacobian linearization method was used to obtain aero-engine affine Linear Parameter Varying (LPV) model with multiple scheduling parameters, which can describe its nonlinear dynamic performance in full envelope. Aiming at the LPV model above, a state feedback controller was designed using affine parameter-dependent Lyapunov functions and the controller satisfied robust H_∞ performance requirement. The proof of the global stability for control system was given. The poles of the closed-loop system were placed to the designated region of the left half plane based on mixed regional pole assignment method, to guarantee the dynamic characteristics and stability margin of the control system. By introducing convex polytope technology, the parameter-dependent Linear Matrix Inequality (LMI) were transformed into finite-dimensional LMIs to solving controller, and the global solution is obtained.The simulation results of a turbofan engine in full envelope showed that, under complex measurement noise disturbances, the robust parameter-varying controller can realize the accurate tracking of control commands with step response time less than 1.5s, no over shoot and steady-state tracking error less than 0.02%, which satisfies the technical requirements of aeroengine control system.