Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model

Torbjørn Cunis; Laurent Burlion; Jean Philippe Condomines

doi:10.2514/6.2018-1114

Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model

Torbjørn Cunis
, Laurent Burlion
, Jean Philippe Condomines

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Aeronautical research has investigated the Generic Transport Model (GTM) in windtunnel studies and provides today an elaborated aerodynamic model for designing methods dedicated to convergence analysis or control problems of aerial vehicles. In this paper, we propose a novel approach for fitting aerodynamic coefficients, namely piece-wise polynomial identification, which is based on measurements in both pre- and post-stall region. The developed method suggests a systematic approach to determine full envelope better than the purely polynomial models published yet. As a result, an analysis of GTM’s longitudinal trim conditions has been successfully applied on the piece-wise identified model and achieves better results than polynomial models. Based on the trim conditions, safe set computation for linear-quadratic controllers is argued to be a powerful tool for verification of nonlinear control systems. Using common and multiple Lyapunov-functions theory, we are able to present a method for the safe set computation with piece-wise defined systems dynamics.

Original language	American English
Title of host publication	AIAA Guidance, Navigation, and Control
Publisher	American Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)	9781624105265
DOIs	https://doi.org/10.2514/6.2018-1114
State	Published - Jan 1 2018
Externally published	Yes
Event	AIAA Guidance, Navigation, and Control Conference, 2018 - Kissimmee, United States Duration: Jan 8 2018 → Jan 12 2018

Publication series

Name	AIAA Guidance, Navigation, and Control Conference, 2018

Other

Other	AIAA Guidance, Navigation, and Control Conference, 2018
Country/Territory	United States
City	Kissimmee
Period	1/8/18 → 1/12/18

ASJC Scopus subject areas

Aerospace Engineering
Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.2514/6.2018-1114

Cite this

Cunis, T., Burlion, L., & Condomines, J. P. (2018). Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model. In AIAA Guidance, Navigation, and Control (AIAA Guidance, Navigation, and Control Conference, 2018). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-1114

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title = "Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model",

abstract = "Aeronautical research has investigated the Generic Transport Model (GTM) in windtunnel studies and provides today an elaborated aerodynamic model for designing methods dedicated to convergence analysis or control problems of aerial vehicles. In this paper, we propose a novel approach for fitting aerodynamic coefficients, namely piece-wise polynomial identification, which is based on measurements in both pre- and post-stall region. The developed method suggests a systematic approach to determine full envelope better than the purely polynomial models published yet. As a result, an analysis of GTM{\textquoteright}s longitudinal trim conditions has been successfully applied on the piece-wise identified model and achieves better results than polynomial models. Based on the trim conditions, safe set computation for linear-quadratic controllers is argued to be a powerful tool for verification of nonlinear control systems. Using common and multiple Lyapunov-functions theory, we are able to present a method for the safe set computation with piece-wise defined systems dynamics.",

author = "Torbj{\o}rn Cunis and Laurent Burlion and Condomines, \{Jean Philippe\}",

note = "Publisher Copyright: {\textcopyright} 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.; AIAA Guidance, Navigation, and Control Conference, 2018 ; Conference date: 08-01-2018 Through 12-01-2018",

year = "2018",

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doi = "10.2514/6.2018-1114",

language = "American English",

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Cunis, T, Burlion, L & Condomines, JP 2018, Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model. in AIAA Guidance, Navigation, and Control. AIAA Guidance, Navigation, and Control Conference, 2018, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Guidance, Navigation, and Control Conference, 2018, Kissimmee, United States, 1/8/18. https://doi.org/10.2514/6.2018-1114

Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model. / Cunis, Torbjørn; Burlion, Laurent; Condomines, Jean Philippe.
AIAA Guidance, Navigation, and Control. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018. (AIAA Guidance, Navigation, and Control Conference, 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model

AU - Cunis, Torbjørn

AU - Burlion, Laurent

AU - Condomines, Jean Philippe

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Aeronautical research has investigated the Generic Transport Model (GTM) in windtunnel studies and provides today an elaborated aerodynamic model for designing methods dedicated to convergence analysis or control problems of aerial vehicles. In this paper, we propose a novel approach for fitting aerodynamic coefficients, namely piece-wise polynomial identification, which is based on measurements in both pre- and post-stall region. The developed method suggests a systematic approach to determine full envelope better than the purely polynomial models published yet. As a result, an analysis of GTM’s longitudinal trim conditions has been successfully applied on the piece-wise identified model and achieves better results than polynomial models. Based on the trim conditions, safe set computation for linear-quadratic controllers is argued to be a powerful tool for verification of nonlinear control systems. Using common and multiple Lyapunov-functions theory, we are able to present a method for the safe set computation with piece-wise defined systems dynamics.

AB - Aeronautical research has investigated the Generic Transport Model (GTM) in windtunnel studies and provides today an elaborated aerodynamic model for designing methods dedicated to convergence analysis or control problems of aerial vehicles. In this paper, we propose a novel approach for fitting aerodynamic coefficients, namely piece-wise polynomial identification, which is based on measurements in both pre- and post-stall region. The developed method suggests a systematic approach to determine full envelope better than the purely polynomial models published yet. As a result, an analysis of GTM’s longitudinal trim conditions has been successfully applied on the piece-wise identified model and achieves better results than polynomial models. Based on the trim conditions, safe set computation for linear-quadratic controllers is argued to be a powerful tool for verification of nonlinear control systems. Using common and multiple Lyapunov-functions theory, we are able to present a method for the safe set computation with piece-wise defined systems dynamics.

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DO - 10.2514/6.2018-1114

M3 - Conference contribution

SN - 9781624105265

T3 - AIAA Guidance, Navigation, and Control Conference, 2018

BT - AIAA Guidance, Navigation, and Control

PB - American Institute of Aeronautics and Astronautics Inc, AIAA

T2 - AIAA Guidance, Navigation, and Control Conference, 2018

Y2 - 8 January 2018 through 12 January 2018

ER -

Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model

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