NDLI: Mathematical Modeling of Controlled Longitudinal Motion of a Paraglider

Content Provider	Springer Nature Link
Author	Formal’skii, A. M. Zaitsev, P. V.
Copyright Year	2013
Abstract	A paraglider consists of a harness and a wing. Both bodies are assumed perfectly rigid. They are connected by suspension lines, which are regarded as perfectly rigid weightless rods. These rods are rigidly attached to the harness and to the wing. The paraglider model is thus a single rigid body with three degrees of freedom. A propeller motor is rigidly attached to the harness. The thrust developed by the propeller is applied to the harness. The thrust vector maintains constant orientation relative to the harness. We develop a mathematical model of a paraglider moving in the longitudinal plane. Stationary motion regimes are identified assuming constant thrust. A thrust control is proposed that stabilizes the paraglider flight at a given altitude. Regions of asymptotic stability of paraglider motion at a constant altitude are constructed in the plane of feedback coefficients (allowing for delay). Regions ensuring a given stability margin are also constructed in this plane. Simulation results are presented for paraglider flight.
Starting Page	418
Ending Page	431
Page Count	14
File Format	PDF
ISSN	1046283X
Journal	Computational Mathematics and Modeling
Volume Number	24
Issue Number	3
e-ISSN	1573837X
Language	English
Publisher	Springer US
Publisher Date	2013-07-18
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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