Self-scheduling robust pitch rate control based on multi-model eigenstructure assignment and guardia
Robust Control Design, Volume # 5 | Part# 1
David Saussie; Lahcen Saydy; Ouassima Akhrif; Caroline Berard Chiappa
Digital Object Identifier (DOI)
pitch rate control,modal multi-model control,self-scheduling,guardian maps,parametric uncertainty,robust control
This paper describes a synthesis approach of a robust self-scheduled controller for the longitudinal pitch rate control system of a business jet aircraft. A fixed architecture controller with five tunable gains is sought in order to satisfy a set of constraints or handling qualities in the presence of mass and center of gravity uncertainties. On a nominal flight case, a set of satisfactory gains is found using eigenstructure assignment. The robustness of the controller against parametric uncertainty is then tested using guardian maps. In order to further improve the first controller robustness, a multi-model eigenstructure assignment is performed. A self-scheduled controller is computed to cover all mass and center of gravity variations. It is shown using Guardian Map theory that the final controller satisfies all the design criteria even when mass and center of gravity vary.
 Barmish, B. R. (1994). New tools for robustness of linear systems. New York: Macmillan.  Constant, G., S. Chable, C. Chiappa and C. Döll (2002). Robustification of an h
2autopilot for flexible aircraft by self scheduling based on multi model eigenstructure assignment. In: International Council of Aeronautical Sciences . pp. 542.1-542.9.  Gautrey, J. E. (1998). Flying qualities and flight control system design for a fly-by-wire transport aircraft. Ph.d. thesis. Cranfield University, College of Aeronautics.  Hyde, R. A. (1996). H ∞aerospace control design - a VSTOL flight application. New York: Springer.  Le Gorrec, Y., J. F. Magni, C. Döll and C. Chiappa (1998). A modal multimodel control design approach applied to aircraft autopilot design. AIAA Journal of Guidance, Control, and Dynamics 21(1), 77-83.  Magni, J. F. (1999). Multimodel eigenstructure assignment in flight-control design. Aerospace Sciences and Technologies 3(3), 141-151.  Magni, J. F., Y. Le Gorrec and C. Chiappa (1998). A multimodel-based approach to robust and self-scheduled control design. In: 37th IEEE Conference on Decision and Control, Tampa, Florida. IEEE. pp. 3009-3014.  Saussié, D., L. Saydy and O. Akhrif (2003). Flight control design with robustness and handling qualities requirements. In: CCECE 2003 - Canadian Conference on Electrical and Computer Engineering. Vol. 3. IEEE. pp. 1749- 1752.  Saussié, D., L. Saydy and O. Akhrif (2006). Longitudinal flight control design with handling quality requirements. To appear in The Aeronautical Journal.  Saydy, L., A.L. Tits and E.H. Abed (1990). Guardian maps and the generalized stability of parametrized families of matrices and polynomials. Mathematics of Control, Signals and Systems 3, 345-371.  Tischler, M.B. (1996). Advances in aircraft flight control. London : Taylor & Francis.  US Department of Defense (1990). Flying qualities of piloted aircraft. MIL-STD-1797A.