Sensitivity-analysis method for inverse simulation application

Lu, L., Murray-Smith, D. and Thomson, D. G. (2007) Sensitivity-analysis method for inverse simulation application. Journal of Guidance, Control, and Dynamics, 30(1), pp. 114-121. (doi: 10.2514/1.20722)

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An important criticism of traditional methods of inverse simulation that are based on the Newton–Raphson algorithm is that they suffer from numerical problems. In this paper these problems are discussed and a new method based on sensitivity-analysis theory is developed and evaluated. The Jacobian matrix may be calculated by solving a sensitivity equation and this has advantages over the approximation methods that are usually applied when the derivatives of output variables with respect to inputs cannot be found analytically. The methodology also overcomes problems of input-output redundancy that arise in the traditional approaches to inverse simulation. The sensitivity- analysis approach makes full use of information within the time interval over which key quantities are compared, such as the difference between calculated values and the given ideal maneuver after each integration step. Applications to nonlinear HS125 aircraft and Lynx helicopter models show that, for this sensitivity-analysis method, more stable and accurate results are obtained than from use of the traditional Newton–Raphson approach.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Thomson, Dr Douglas and Lu, Mr Linghai and Murray-Smith, Professor David
Authors: Lu, L., Murray-Smith, D., and Thomson, D. G.
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
Journal Name:Journal of Guidance, Control, and Dynamics
Publisher:American Institute of Aeronautics and Astronautics
ISSN (Online):1533-3884
Copyright Holders:Copyright © 2006 American Institute of Aeronautics and Astronautics, Inc.
First Published:First published in Journal of Guidance, Control and Dynamics 30(1):114-121
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
370951Improved inverse simulation using nonlinear predictive methodsDouglas ThomsonEngineering & Physical Sciences Research Council (EPSRC)GR/S91024/01Aerospace Sciences