Development of Linear-Parameter-Varying Models for Aircraft

This paper presents a comparative study of three linear-parameter-varying (LPV) modeling approaches and their application to the longitudinal motion of a Boeing 747 series 100/200. The three approaches used to obtain the quasi-LPV models are Jacobian linearization, state transformation, and function...

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Bibliographic Details
Published in:Journal of guidance, control, and dynamics control, and dynamics, 2004-03, Vol.27 (2), p.218-228
Main Authors: Marcos, Andrés, Balas, Gary J
Format: Article
Language:English
Subjects:
Aerospace engineering
Aircraft industry
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Decomposition
Design
Dynamical systems
Exact sciences and technology
Scheduling
Variables
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Summary:This paper presents a comparative study of three linear-parameter-varying (LPV) modeling approaches and their application to the longitudinal motion of a Boeing 747 series 100/200. The three approaches used to obtain the quasi-LPV models are Jacobian linearization, state transformation, and function substitution. Development of linear parameter varying models is a key step in applying LPV control synthesis. The models are obtained for the up-and-away flight envelope of the Boeing 747-100/200. Comparisons of the three models in terms of their advantages, drawbacks, and modeling difficulty are presented. Open-loop time responses show the three quasi-LPV models matching the behavior of the nonlinear model when in the trim region. Differences between the models are more apparent as the response of the aircraft deviates from the nominal trim conditions. (Author)
ISSN:0731-5090
1533-3884
DOI:10.2514/1.9165