Existence of oscillatory solutions along the path of longitudinal flight equilibriums of an unmanned aircraft, when the automatic flight control system fails

Balint St.; Balint A.M.; Kaslik E.

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Existence of oscillatory solutions along the path of longitudinal flight equilibriums of an unmanned aircraft, when the automatic flight control system fails

机译：当自动飞行控制系统出现故障时，沿无人飞行器纵向飞行平衡路径的振荡解的存在

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The motion around the center of mass of a rigid unmanned aircraft, whose flight control system fails, in an "Aero Data Model In a Research Environment" is described, by a set of nine nonlinear ordinary differential equations. The longitudinal flight with constant forward velocity is described by a subset of three nonlinear differential equations, obtained from the general system. In this paper, the existence of oscillatory solutions of this system of three differential equations is proved by means of coincidence degree theory and Mawhin's continuation theorem.

机译：通过一组九个非线性常微分方程，描述了在“研究环境中的航空数据模型”中，其飞行控制系统失效的刚性无人机的质心运动。前进速度恒定的纵向飞行由三个非线性微分方程的子集描述，这三个子方程是从一般系统中获得的。本文通过重合度理论和Mawhin连续定理证明了该系统具有三个微分方程组的振动解的存在性。

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《Journal of Mathematical Analysis and Applications》 |2010年第2期|共17页
作者
Balint St.; Balint A.M.; Kaslik E.;
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正文语种 eng
中图分类数学分析;
关键词
Coincidence degree theory; Continuation theorem; Longitudinal flight; Oscillatory solution;

机译：重合度理论连续定理纵向飞行振动解;

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1. Existence of oscillatory solutions along the path of longitudinal flight equilibriums of an unmanned aircraft, when the automatic flight control system fails [J] . Balint St., Balint A.M., Kaslik E. Journal of Mathematical Analysis and Applications . 2010,第2期

机译：当自动飞行控制系统出现故障时，沿无人飞行器纵向飞行平衡路径的振荡解的存在
2. Oscillation Susceptibility Analysis of the ADMIRE Aircraft along the Path of Longitudinal Flight Equilibriums in Two Different Mathematical Models [J] . Stefan Balint, Agneta Maria Balint, Achim Ionita Differential equations and nonlinear mechanics . 2009,第Null期

机译：在两种不同数学模型中，ADMIRE飞机沿纵向飞行平衡路径的振动敏感性分析
3. Oscillation Susceptibility Analysis of the ADMIRE Aircraft along the Path of Longitudinal Flight Equilibriums in Two Different Mathematical Models [J] . Stefan Balint, Agneta Maria Balint, Achim Ionita Differential equations and nonlinear mechanics . 2009,第Null期

机译：在两种不同数学模型中，ADMIRE飞机沿纵向飞行平衡路径的振动敏感性分析
4. Existence of Gaps on the Path of Equilibriums in Case of Longitudinal Flight with Constant Forward Velocity [C] . Agneta Maria Balint, Stefan Balint International Symposium on Symbolic and Numeric Algorithms for Scientific Computing . 2017

机译：恒定向前速度纵向飞行情况下平衡路径上的间隙的存在
5. In-Flight Learning Based Flight Control pf an Unmanned Aircraft System [D] . Alabsi, Mohammed 2018

机译：基于飞行学习的无人机系统飞行控制
6. Integrated Flight Path Planning System and Flight Control System for Unmanned Helicopters [O] . Shau Shiun Jan, Yu Hsiang Lin 2011

机译：无人直升机的综合飞行路径计划系统和飞行控制系统
7. Existence of oscillatory solutions along the path of longitudinal flight equilibriums of an unmanned aircraft, when the automatic flight control system fails [O] . Balint St., Balint A.M., Kaslik E. 2010

机译：当自动飞行控制系统发生故障时，沿无人飞行器纵向飞行平衡路径的振荡解的存在
8. Aircraft automatic-flight-control system with inversion of the model in the feed-forward path using a Newton-Raphson technique for the inversion [R] . Smith, G. A., Meyer, G., Nordstrom, M. 1986

机译：使用Newton-Raphson技术进行反演的飞机自动飞行控制系统，在前馈路径中反演模型

Existence of oscillatory solutions along the path of longitudinal flight equilibriums of an unmanned aircraft, when the automatic flight control system fails

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