Abstract

In the presence of model parametric uncertainties and external disturbances, a LESO-based dynamic surface control approach is designed for the longitudinal model of Hypersonic Flight Vehicle (HFV). Via Nonlinear Dynamic Inversion (NDI) technique, the decoupling of altitude and velocity is realized. Combining with conventional back-stepping technique, a low pass filter (LPF) is introduced to attain the derivation of virtual control laws, which avoids the problem of "differentiation explosion". A linear extended state observer (LESO) is designed for the precise estimation and compensation of "lumped disturbance" containing parametric uncertainties and external disturbances, which tremendously improves the ability of disturbance rejection of the system. The stability of the proposed approach is analyzed by means of Lyapunov theory. The simulation results demonstrate that the proposed methodology has good command tracking performance, and the approach is robust in the presence of lumped disturbances.

Highlights

  • a LESO⁃based dynamic sur⁃ face control approach is designed for the longitudinal model of Hypersonic Flight Vehicle

  • which tremendously improves the ability of disturbance rejection of the system

  • The stability of the proposed approach is analyzed by means of Lyapunov theory

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Summary

Introduction

关 键 词:高超声速飞行器;动态面控制;线性扩张状态观测器;扰动抑制;Lyapunov 方法 中图分类号:TJ765.2; V448.2 文献标志码:A 文章编号:1000⁃2758(2018)01⁃0013⁃07 高超声速飞行器 ( hypersonic flight vehicle, HFV) 飞行速度快、高度高,具有高超声速巡航与突 防、空天往返等广泛应用前景,成为了许多国家研究 发展的重点[1] 。 也因其模型具有高非线性、强耦合 和参数不确定等特点,对 HFV 的控制系统设计提出 了更高的挑战[2⁃3] 。 到地心的距离且 r = RE + H,RE 为地球半径;M 和 Iyy 分别为 HFV 的质量及其沿 y 轴的转动惯量。 L,D,T 及 Myy 分别为 HFV 的升力、阻力、推力及俯仰力矩, 其具体表达式可参考文献[17] 。

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