Adaptive Gian Scheduling Strategies for Aircraft Longitudinal Maneuvers Control

Document Type : Original Article

Author

azad mashhad

Abstract

Suppose an aircraft that has a steady state turning fly and wants to have longitudinal movement. Due to some criteria such as instability, model uncertainty and disturbances, the movement of this aircraft is virtually impossible with just the direct adjustment of inputs (e.g. aileron, rudder and elevator angle) and without the help of a controller.in this paper used the gain-scheduling mothod for design of controller. In the gain-scheduling method, linearizing the system is done around some operation point. Moreover it designs some linear controllers that will be switched into the system based on the systems current operation point.
   In this paper, the problem of determining multiplicity of equilibrium pints in gain-scheduling method for an aircraft to have longitudinal movement is considered. Also we seek to find a criterion to tell us when each particular controller should be used which is carried out through stability margin observations and the ν-Gap metric.
    The results show that with the combination of a gain-scheduling nonlinear controller and a nonlinear system in a closed loop, the desired longitudinal maneuvering was done satisfactorily.

Keywords


  1. Kodhanda, A., Kolhe, J. P., Zeru, T., and Talole, SE. “Robust Aircraft Control Based on UDE Theory”, J. Aerospace ENG., Vol. 231, No. 4, pp. 728-742, 2017. ##
  2. Licitra, G., B¨urger, A.,Williams, P., Ruiterkamp, R.,and Diehl, M. “Optimal Input Design for Autonomous Aircraft”, J. Control ENC Practice, Vol. 77, pp.15-27, 2018.##
  3.  Fujimori, A., Terui, F., and Nikiforuk, P. N. “Fight Control   Design of an Unmanned Space Vehicle Using Gain Scheduling”, J. Guidance, Control and Dynamics, Vol. 28, No. 1, pp. 96-105, 2005.##
  4. Vinnicombe, G. “Uncertainty and Feedback , H Loop-Shaping and The ν-Gap Metric”, Imperial College Press, London , ISBN: 1-86094-163-X, 316pp, 2001.##
  5. Christen, Urs. “Is the V-Gap Metric Useful for Industrial Applications”, Proc. European Control Conf (ECC), Cambridge,UK,2003.##
  6. Georgiou, T.T. “Optimal Robustness in the Gap Metric”, IEEE Transactions on Automatic Control, Vol. 35 , No. 6, pp. 673-686, 1990.[M1] ##
  7. El-Sakkary, A. “The Gap Metric: Robustness of Stabilization of Feedback Systems”, IEEE Transactions on Automatic Control, Vol. 30, No. 3 , pp. 240-247,1985 .  [M2] ##
  8. Fujimori, A., Terui, F., and Nikiforuk, P. “Flight Control Designs Using v-Gap Metric and Local Multi-Objective Gain-Scheduling”, AIAA Guidance, Navigation, and  Control Conf, Austin, Texas, 2003.##
  9. Haj Salah , A.A., Garna ,T., Ragot, J., and Hassani, M. “Transition and Control of Nonlinear Systems by Combining the Loop Shaping Design Procedure and the Gap Metric Theory”, transactions of the Institute of Measurement and Control covers applications in instrumentation and control. pp.1–17, 2015.##

10. Roskam, J. “Airplane Flight Dynamics and Automatic Flight Control”, Published by: Roskam Aviation and Engineering Corporation, ISBN-10: 1884885179,1979.##

11. Kirk, D. E. “Optimal Control Theory: An Introduction”, Prentice-Hall,  Inc., Englewood Cliffs, New Jersey,1970.##

12. Roskam, J. “Methods of Estimating Stability and Control Derivatives of Conventional Subsonic Airplane”, ID Numbers: OL4584346M, 1977.[M3]  ##

13. Hoak, D.E. and Finck, R. D. “USAF Stability and Control Datcom Flight Control Division”, Air Force Flight Dynamics Laboratory, Irvine, CA: Global Engineering Documents, 1978.##

14. Kalman, R. E. “The Theory of Optimal Control and the Calculus of Variations”,Defense Technical Information Center, Vol .61, No. 3 of RIAS technical report ,1960##

15. Kalman, R. E. “Mathematical Description of Linear Dynamical Systems”, Journal of the Society for Industrial and Applied Mathematics, Vol. 1, No. 2, pp.152-192, 2006.##

16. Zhou, K. and Doyle, J. C. “Essentials of Robust Control”, Prentice-Hall, ISBN 0-13-525833-2, 1998.##

17.  Kalman, R. E. “Contributions to The Theory of Optimal Control”, Boletin de la Sociedad Matematica Mexicana, Vol. 5, pp. 102-119,1960.[M4] ##