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A continuation design framework for nonlinear flight control problems

Published online by Cambridge University Press:  03 February 2016

T. S. Richardson  and
M. H. Lowenberg
T. S. Richardson
Affiliation:
Department of Aerospace Engineering, University of Bristol, UK
M. H. Lowenberg
Affiliation:
Department of Aerospace Engineering, University of Bristol, UK
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Abstract

A methodology referred to as the continuation design framework is developed for application to nonlinear flight control problems. This forms the basis of a systematic approach to control system design for aircraft operating in highly nonlinear regions of the flight envelope. The essence of the continuation design framework is to combine bifurcation analysis with modern control methods such as eigenstructure assignment. Theoretical and practical issues of the approach are discussed with particular reference to the problems posed by agile fighter aircraft. The proposed methodology is applied to a fifth order hypothetical aircraft model and is shown to provide a visible, flexible and logical approach to nonlinear aircraft control law design.

Type
Research Article
Information
The Aeronautical Journal , Volume 110 , Issue 1104 , February 2006 , pp. 85 - 96
Copyright
Copyright © Royal Aeronautical Society 2006 

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References

1. Mehra, R.K., Kessel, W.C. and Carroll, J.V., Global stability and control analysis of aircraft at high angles of attack 1977, Technical Report ONR-CR215-248-1, US Office of Naval Research.Google Scholar
2. Mehra, R.K. and Carroll, J.V., Global stability and control analysis of aircraft at high angles of attack, 1978, Technical Report ONR-CR215-248-2, US Office of Naval Research.Google Scholar
3. Mehra, R.K. and Carroll, J.V., Global stability and control analysis of aircraft at high angles of attack, 1979, Technical Report ONR-CR215-248-3, US Office of Naval Research.Google Scholar
4. Jahnke, C.C. and Chen, G., Nonlinear stability analysis of steady states, 1995, Proceedings of AIAA Atmospheric Flight Mechanics Conference, AIAA-95-3449.Google Scholar
5. Jahnke, C.C. and Culick, F.E.C., Application of bifurcation theory to the high-angle-of-attack dynamics of the F-14. J Aircr, 1994, 31, pp 26–34.Google Scholar
6. Guicheteau, P., Non-linear flight dynamics, 1993, AGARD lecture series 191.Google Scholar
7. Planeaux, J.B. and McDonnell, R.J., Thrust contributions to the spin characteristics of a model fighter aircraft, 1991, AIAA-91-2887.Google Scholar
8. Lowenberg, M.H., Application of Bifurcation Analysis to Multiple Attractor Flight Dynamics, 1998, PhD thesis, University of Bristol.Google Scholar
9. Lowenberg, M.H., Bifurcation analysis of multiple-attractor flight dynamics. Phil Trans Royal Society London A, 1998, 356, pp 2297–2319.Google Scholar
10. Lowenberg, M.H., Development of control strategies to modify spin behaviour, 1998, Proceeedings of AIAA Atmospheric Flight Mechanics Conference, AIAA-98-4267.Google Scholar
11. Lowenberg, M.H. and Richardson, T.S., The continuation design framework for nonlinear aircraft control, 2001, Proceedings of AIAA Guidance, Navigation and Control Conference, AIAA-2001-4100.Google Scholar
12. Gibson, L., Nichols, N.K. and Littleboy, D.M., Closed loop design for a simple nonlinear aircraft model using eigenstructure assignment, 1997, Proceedings of AIAA Guidance, Navigation and Control Conference, AIAA-97-3779.Google Scholar
13. Littleboy, D.M. and Smith, P.R., Using bifurcation methods to aid nonlinear dynamic inversion control law design, J Guidance, Control and Navigation, 1998, 21, (4), pp 632–638.Google Scholar
14. Goman, M.G. and Khramtsovsky, . Application of continuation and bifurcation methods to the design of control systems. Phil Trans Royal Society London A, 356, (1745) 1998, pp 2277–2295.Google Scholar
15. Goman, M.G., Zagainov, G.I. and Khramtsovsky, A.V., Application of bifurcation methods to nonlinear flight dynamics problems. Prog Aerospace Sci, 1997, 33, pp 539–586.Google Scholar
16. Goman, M.C. and Khramtsovsky, . Global stability analysis of nonlinear aircraft dynamics, 1996, AIAA-97-3721.Google Scholar
17. Nelson, R.C., Flight Stability and Automatic Control, 1998, McGraw-Hill.Google Scholar
18. Dorsett, K.M. and Mehl, D.R., Innovative control effectors (ICE), January 1996, Wright Laboratories, Wright-Patterson AFB, OH, WL-TR-96-3043.Google Scholar
19. Lowenberg, M., Richardson, T., Davison, P. and Di Bernardo, M., Control of nonlinear aircraft models using dynamic state-feedback gain scheduling, 2003, Proceedings of AIAA Guidnace, Navigation and Control Conference, AIAA-2003-5503.Google Scholar
20. Lowenberg, M.H., Jones, C.D.C. and Richardson, T.S., Dynamic state-feedback gain-scheduled control of the ICE 101-TV, 2004, Proceedings of AIAA Guidance, Navigation and Control Conference, AIAA-2004-4754.Google Scholar
21. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 1983, Springer.Google Scholar
22. Teukolsky, S.A., Press, W.H., Flannery, B.P. and Vetterling, W.T., Numerical Recipes: Fortran Example Book, 1993, Cambridge University Press.Google Scholar
23. Seydel, R., Practical Bifurcation and Stability Analysis: From Equilibrium to Chaos. Interdisciplinary Applied Mathematics, 1994, Springer-Verlag.Google Scholar
24. Goman, M.G., Khramtsovsky, A.V. and Usoltev, S., High incidence aerodynamics model for hypothetical aircraft, 1995, Technical Report 15/5DRA, TsAGI.Google Scholar
25. Wilson, R.J., Flick, B.C., Bowers, A.H., Pahle, J.W. and Rood, R.L., An overview of the NASA F-18 high alpha research vehicle, 1996, Technical report, NASA Technical Memorandum 4772.Google Scholar
26. Lowenberg, M., Stoten, D., Wang, X., Charles, G. and Di Bernardo, M., Bifurcation tailoring of equilibria: a feedback control approach, Special Issue on Control of Bifurcations, Latin American J Applied Research, 2001, 31.Google Scholar
27. Hodgkinson, J., Aircraft Handling Qualities, 1999, American Institute of Aeronautics and Astronautics Press.Google Scholar
28. Doedel, E.J. and Wang, X.J., AUTO94: Software for continuation and bifurcation problems in ordinary differential equations, 1995, Technical Report CRPC-95-2, California Institute of Technology.Google Scholar