Stability analysis for an UAV model in a longitudinal flight

Abstract

The paper presents the stability analysis of the equilibria in a longitudinal flight of an unmanned aircraft with constant forward velocity. The motion of the aircraft is described using delay differential equations with constant delays, the delay being considered in flight control compartment. The goal is to study the effects of the delays for the stability of the equilibrium points. It is eventually proved that a Hopf bifurcation appears.

Keywords

• equilibrium point
• Hopf bifurcation
• delay-differential equations
• stability