Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-07T23:25:39.122Z Has data issue: false hasContentIssue false

Stability analysis for inverse simulation of aircraft

Published online by Cambridge University Press:  04 July 2016

K. M. Yip
Affiliation:
Aerospace Engineering GroupDepartment of Mechanical EngineeringNational University of Singapore, Singapore
G. Leng
Affiliation:
Aerospace Engineering GroupDepartment of Mechanical EngineeringNational University of Singapore, Singapore

Abstract

The integration inverse method has been extensively investigated in the past decade; however, none of the researches fully addresses the stability analysis of the method that is crucial to successful implementation. This paper presents a stability test to analyse the global stability of the integration inverse method for linear time-invariant systems. A stable solution may be obtained from careful selection of the discretisation interval using the proposed stability test. A discrete model is derived to approximate the Newton's scheme in the inverse method. With this approximate model, the stability of the inverse method can be examined. The stability test is exact for linear systems and can be extended to the inverse method for non-linear aircraft simulations by considering an equivalent linear model for each point of the flight envelopes. Guidelines for selection of appropriate reference points in the inverse simulation are given.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1998 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Kato, O. and Suguira, I. An interpretation of airplane general motion and control as inverse problem, J Guid, Cont and Dynam, 1986, 9, (2), pp 198204.Google Scholar
2. Thomson, D.G. and Bradley, R. Development and verification of an algorithm for helicopter inverse simulations, Vertica, 1990, 14, (2), pp 185200.Google Scholar
3. Sentoh, E. and Bryson, A.E. Inverse and optimal control for desired outputs, J Guid, Cont and Dynam, 1992, 15, (3), pp 687691.Google Scholar
4. Hess, R.A., Gao, C. and Wang, S.H. General technique for inverse simulation applied to aircraft manoeuvres, J Guid, Com and Dynam, 1991, 14, (5), pp 920926.Google Scholar
5. Gao, C. and Hess, R.A. Inverse simulation of large-amplitude aircraft manoeuvres, J Guid, Cont and Dynam, 1993, 16, (4), pp 733737.Google Scholar
6. Lin, K.C., Lu, P. and Smith, M. The numerical errors in inverse simulation, J Guid, Cont and Dynam, 1993, AIAA-93-3588-CP.Google Scholar
7. Lin, K.C. Comment on Generalized technique for inverse simulation applied to aircraft manoeuvres, J Guid, Cont and Dynam, 1993, 16, (6), pp 11961197.Google Scholar
8. Hess, R.A. and Gao, C. Reply by Authors to Kuo-Chi Lin, J Guid, Cont and Dynam, 1993, 16, (6), pp 11971199.Google Scholar
9. Rutherford, S. and Thomson, D.G. Improved methodology for inverse simulation, Aeronaut J, March 1996, 100, (993) pp 7986.Google Scholar
10. Matteis, G., Socio, L. and Leonessa, A. Solution of aircraft inverse problem by local optimisation, J Guid Cont and Dynam, 1995, 18, (3), pp 567571.Google Scholar
11. Lee, S. and Kim, Y. Time-domain finite element method for inverse problem of aircraft manoeuvres, J Guid, Cont and Dynam, 1997, 20, (1), pp 97103.Google Scholar
12. Greenspan, D. and Casulli, V. Numerical Analysis for Applied Mathematics, Science, and Engineering, Addison-Wesley Publishing, 1988, pp 2335.Google Scholar