Descriptor Polytopic Model of Aircraft and Gain Scheduling State Feedback Control

Abstract

This paper proposes an exact polytopic model for the linear parameter varying (LPV) system of aircraft. The LPV system of the linearized equation of aircraft is represented by a descriptor form which reserves physical features of the equation. A polytopic model, called descriptor polytopic model, is derived through a variable transformation to satisfy conditions for the polytope. Using the obtained descriptor polytopic model, a gain scheduling state feedback law is then designed by means of a linear matrix inequality (LMI) formulation. It is shown in a numerical example of a longitudinal flight control that the proposed descriptor polytopic model of aircraft had no model error and exactly represented the original LPV system without any unnecessary flight region.