“Stabilization of a Pitch Axis Flight Control Experiment with Input Rate Saturation”

Authors: Trygve Lauvdal and Richard M. Murray,
Affiliation: ABB and California Institute of Technology
Reference: 1999, Vol 20, No 4, pp. 225-240.

Keywords: Rate saturation, nonlinear control, ducted fan

Abstract: Motivated by some specific problems in flight control and roll stabilization of ships, we present a technique for stabilizing a chain of integrators in the presence of rate limitations on the input. Our technique improves on several existing techniques in the literature and has a number of interesting features. The controller is evaluated experimentally on a pitch axis flight control experiment at Caltech. The experimental results show that even in the presence of rate limits that cause a linear controller to go unstable, the time-varying controller stabilizes the system with minimal loss in performance.

PDF PDF (2248 Kb)        DOI: 10.4173/mic.1999.4.3

DOI forward links to this article:
[1] HUANG Xianlin, ZHANG Chun, LU Hongqian and YIN Hang (2015), doi:10.1016/j.cja.2015.01.003
[2] T. Lauvdal, R.M. Murray and T.I. Fossen (1997), doi:10.1109/CDC.1997.652491
[3] Sergio Salazar-Cruz, Farid Kendoul, Rogelio Lozano and Isabelle Fantoni (2006), doi:10.1109/IROS.2006.282145
[4] S. Salazar-Cruz, F. Kendoul, R. Lozano and I. Fantoni (2008), doi:10.1109/TAES.2008.4560220
[5] Ahmad Hably and Nicolas Marchand (2007), doi:10.1109/IROS.2007.4399323
[6] Ahmad Hably, Farid Kendoul, Nicolas Marchand and Pedro Castillo (2006), doi:10.1007/3-540-34774-7_39
[7] Karl D. von Ellenrieder (2019), doi:10.1016/j.automatica.2019.04.018
References:
[1] BUCHHOLZ, J.J. (1993). Time delay induced by Control Surface Rate Saturation, Z. Flugwiss. Weltraumforsch, 17, pp. 287-293.
[2] DORNHEIM, M.A. (1992). Report Pinpoints Factors Leading to YF-22 Crash, Aviation Week and Space Technology, November.
[3] DAHLEH, M.A. PEARSON, J.B. (1987). L1-Optimal Compensators for Continuous-Time Systems, IEEE Transaction on Automatic Control, 3.10, pp. 889-895 doi:10.1109/TAC.1987.1104455
[4] DAHLEH, M.A. DIAZ-BOBILLO, I.J. (1995). Control of Uncertain Systems: A Linear Programming Approach, Prentice Hall.
[5] BOYD, S.P. BARRATT, C.H. (1991). Linear controller design: limits of performance, Prentice-Hall.
[6] TEEL, A.R. (1992). Feedback Stabilization: Nonlinear Solutions to Inherently Nonlinear Problems, PhD thesis, University of California, Berkeley.
[7] TEEL, A.R. (1992). Global Stabilization and Restricted Tracking for Multiple Integrators with Bounded Controls, Systems and Control Letters, 18, pp. 165-171 doi:10.1016/0167-6911(92)90001-9
[8] MEGRETSKI, A. (1996). L2 BIBO Output Feedback Stabilization with Saturated Control, IFAC World Congress.
[9] LAUVDAL, T., MURRAY, R.M. FOSSEN, T.I. (1997). Stabilization of integrator Chains in the Presence of Magnitude and Rate Saturations, a Gain Scheduling Approach, The 36th IEEE Conference on Decision and Control (CDC´97). (Submitted).
[10] LAUVDAL, T. FOSSEN, T.I. (1997). Semi-Global Results on Stabilization of Linear Systems With Input Magnitude and Rate Saturation, Proceedings of the AIAA Conference on Guidance, Navigation and Control, New Orleans, USA.
[11] MURRAY, R.M., WEMHOFF, E.L. KANTNER, M. (1995). Sparrow 2-If Reference Manual, California Institute of Technology.


BibTeX:
@article{MIC-1999-4-3,
  title={{Stabilization of a Pitch Axis Flight Control Experiment with Input Rate Saturation}},
  author={Lauvdal, Trygve and Murray, Richard M.},
  journal={Modeling, Identification and Control},
  volume={20},
  number={4},
  pages={225--240},
  year={1999},
  doi={10.4173/mic.1999.4.3},
  publisher={Norwegian Society of Automatic Control}
};