Robustness analysis of nonlinear flight controllers

Journal of Guidance, Control, and Dynamics

Volumn 28, Issue 4, 2005, Pages 639-648

  Papageorgiou, Christakis ^a,b   Glover, Keith ^a,c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b Control Group ^*  (United Kingdom)

^c Department of Engineering ^*  (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; AIRCRAFT; CONTROL EQUIPMENT; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

DYNAMIC INVERSION CONTROL LAWS; LYAPUNOV FUNCTIONS; NONLINEAR FLIGHT CONTROLLERS; ROBUSTNESS ANALYSIS;

FLIGHT DYNAMICS;

EID: 22944439433     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.9389     Document Type: Article

References (30)

1. Bugajski, J. D., and Enns, F. D., "Nonlinear Control Law with Application to High Angle of Attack Flight," Journal of Guidance, Control, and Dynamics, Vol. 15, No. 3, 1992, pp. 761-767.
2. Enns, D., Bugajski, D., Hendrick, R., and Stein, G., "Dynamic Inversion: an Evolving Methodology for Flight Control Design," International Journal of Control, Vol. 59, No. 1, 1992, pp. 71-91.
3. Patel, Y., and Smith, P. R., "Translational Motion Control of Vertical Takeoff Aircraft Using Nonlinear Dynamic Inversion," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 1, 1998, pp. 179-182.
4. Smith, P. R., and Berry, A., "Flight Test Experience of a Non-Linear Dynamic Inversion Control Law on the VAAC Harrier," AIAA Paper 2000-3914, Aug. 2000.
5. Littleboy, D. M., and Smith, P. R., "Using Bifurcation Methods to Aid Nonlinear Dynamic Inversion Control Law Design," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 4, 1998, pp. 632-638.
6. Snell, A., "Decoupling Control with Applications to Flight," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 4, 1998, pp. 647-655.
7. Isidori, A., Nonlinear Control Systems, 2nd ed., Springer-Verlag, New York, 1995.
8. Hauser, J., Sastry, S., and Meyer, G., "Nonlinear Control Design for Slightly Non-Minimum Phase Systems," Automatica, Vol. 28, No. 4, 1992, pp. 665-679.
9. McFarland, B. M., and Hoque, S. M., "Robustness of a Nonlinear Missile Autopilot Designed Using Dynamic Inversion," AIAA Paper 2000-3970, Aug. 2000.
10. Brinker, J. S., and Wise, K. A., "Stability and Flying Qualities Robustness of a Dynamic Inversion Aircraft Control Law," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 6, 1996, pp. 1270-1277.
11. ∞ synthesis," IEEE Transactions on Automatic Control, Vol. 37, No. 6, 1992, pp. 759-769.
12. ∞, Loop-Shaping and the v-Gap Metric, 1st ed., Imperial College Press, London, 2001.
13. Papageorgiou, G., and Hyde, R. A., "Analysing the Stability of NDI-Based Flight Controllers with LPV Methods," AIAA Paper 2001-4039, Aug. 2001.
14. Glover, K., Vinnicombe, G., and Papageorgiou, G., "Guaranteed Multi-Loop Stability Margins and the Gap Metric," Proceedings of the 2000 IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 4084, 4085.
15. Schumacher, C. J., and Khargonekar, P. P., "Stability Analysis of a Missile Control System with a Dynamic Inversion Controller," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 3, 1998, pp. 508-515.
16. Morton, B., Enns, D., and Zhang, B., "Stability of Dynamic Inversion Control Laws Applied to Nonlinear Aircraft Pitch-Axis Models," International Journal of Control, Vol. 63, No. 1, 1996, pp. 1-25.
17. Shamma, J. S., and Athans, M., "Analysis of Gain Scheduled Control for Nonlinear Plants," IEEE Transactions on Automatic Control, Vol. 35, No. 8, 1990, pp. 898-907.
18. Tsourdos, A., Leith, D. J., Leithead, W. E., and White, B. A., "A Velocity-Based Framework for the Robust Stability Analysis of Dynamic Inversion Flight Controllers," Proceedings of the American Control Conference, Vol. 5, 2001, pp. 3341-3345.
19. Shamma, J. S., and Cloutier, R. J., "Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations," Journal of Guidance, Control, and Dynamics, Vol. 16, No. 2, 1993, pp. 256-263.
20. ∞ Control: An Enhanced Quasi-LPV Approach," Proceedings of the 14th IFAC World Congress, Beijing, 1999, pp. 85-90.
21. Papageorgiou, C., "Robustness Analysis of Nonlinear Dynamic Inversion Control Laws for Flight Control Applications," Ph.D. Dissertation, Engineering Dept., Cambridge Univ., 2003.
22. Tan, W., "Applications of Linear Parameter-Varying Control Theory," M.S. Thesis, Dept. of Mechanical Engineering, Univ. of California, Berkeley, CA, May 1997.
23. Marcos, A., and Balas, G. J., "Development of Linear Parameter-Varying Models for Aircraft," Journal of Guidance, Control, and Dynamics, Vol. 27, No. 2, 2004, pp. 218-228.
24. Khalil, H. K., Nonlinear Systems, Prentice-Hall, Upper Saddle River, NJ, 1996.
25. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, B., Linear Matrix Inequalities in System and Control Theory, Society of Industrial and Applied Mathematics, 1994.
26. Becker, G., and Packard, A., "Robust Performance of Linear Parametrically Varying Systems Using Parametrically-Dependent Linear Feedback," Systems and Control Letters, Vol. 23, No. 3, 1994, pp. 205-215.
27. Scherer, C., and Weiland, S., "Lecture Notes on Linear Matrix Inequalities in Control," Dutch Inst. of Systems and Control, 2000.
28. Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M., LMI Control Toolbox, May 1995.
29. Etkin, B., and Reid, L. D., Dynamics of Flight, Stability and Control, Wiley, New York, 1995.
30. Standen, P., "Consistent Nonlinear F-18 Aeroservoelastic Model," Stirling Dynamics, Ltd., Tech. Rept. SDL-649-TR-1, Aug. 2000.