Convex Polyhedron Construction Based Parameter Estimation for Aero-engine Polynomial Linear Parameter Varying System

Parameter estimation technologies play an important role in improving the performances of complex system control and health monitoring. To guarantee the global parameter estimation stability and robustness of aero-engine under the existence of disturbance, the new robust filter design and solving method for polynomial linear parameter varying (PLPV) model are given. Based on the notion of parameterized Lyapunov functions (PLF) and affine quadratic stability (AQS), the sufficient conditions for global stable filter existence are proposed. Then a filter scheduled by the system parameter is achieved on the vertex set of the new constructed convex polyhedron by using normal convex optimization technique. Finally, numerical simulations on unmeasurable early deterioration parameters estimation for a turbofan engine PLPV model verify the feasibility and validity of the filter design and solving method.