Modeling method for multi-cell LPV system of elastic hypersonic aircraft

Abstract

The invention discloses a modeling method for a multi-cell LPV system of an elastic hypersonic aircraft. The method comprises the following steps: establishing an elastic hypersonic aircraft nonlinearlongitudinal model, obtaining corresponding aerodynamic parameters, analyzing the relationship between the elastic deformation of an aircraft and a rigid body of the aircraft, and establishing a mathematical model; establishing a three-input three-output multi-cell LPV system model and a two-input two-output multi-cell LPV system model for the nonlinear longitudinal model of the hypersonic aircraft based on Jacobian linearization and tensor product transformation; to be specific, selecting a scheduling variable, and performing Jacobian linearization at a balance point to obtain a continuous LPV model; discretizing the continuous LPV model and storing the discretized continuous LPV model in a tensor; performing high-order singular value decomposition on the tensor to extract a core LTI vertex system; and constructing a continuous weight function of a core LTI vertex system. According to the method, the multi-cell LPV model capable of reflecting the elasticity of the hypersonic flight vehicle is established, the characteristics of the large flight envelope of the hypersonic flight vehicle are covered, the modeling calculation amount is reduced, and meanwhile the modeling precision is kept.

Description

technical field [0001] The invention belongs to the field of hypersonic aircraft modeling, and in particular relates to a modeling method for a multicellular LPV system of an elastic hypersonic aircraft, which can be used as a model for longitudinal trajectory and attitude control of an elastic hypersonic aircraft. Background technique [0002] Hypersonic aircraft has the advantages of fast flight speed, strong defense penetration capability, long combat distance, and high maneuverability, and has shown broad application prospects in military and civilian fields. However, hypersonic vehicles have the characteristics of strong nonlinearity, strong coupling, fast time-varying, multiple uncertainties, static instability, and non-minimum phase. Therefore, from the perspective of control theory, it is of great significance to establish a model suitable for aircraft control. [0003] Since the 1990s, air-breathing hypersonic vehicles have become a research hotspot in various coun...

AI Technical Summary

Problems solved by technology

The controller synthesis of the existing LPV system is generally based on the solution of a series of linear matrix inequalities (LMI) on the LPV trajectory, which requires a large amount of calculation

In addition, unlike other control objects, hypersonic vehicles also have the characteristics of large flight envelopes, and only establishing an LPV system cannot well cover the various characteristics of hypersonic vehicle models

Images