“Adaptive feedback linearization of non-linear systems with significant actuator dynamics”

Authors: Thor I. Fossen,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1990, Vol 11, No 3, pp. 169-179.

Keywords: Actuator dynamics, non-linear control, Lyapunov stability theory, adaptive feedback linearization, nonlinear decoupling

Abstract: When applying feedback linearization techniques actuator dynamics is usually neglected. This is crucial for actuators with large time constants. A large class of systems, e.g. chemical processes, belong to this category. In such cases conventional feedback linearization techniques based on adaptive control or sliding control perform poorly. This paper discusses an approach which allows the inclusion of the actuator dynamics in the controller design. The design methodology has validation both for adaptive feedback linearization as well as sliding control. An augmented Lyapunov-like function candidate including the actuator states was used to prove global stability. This is done by applying BarbalatĀ“s Lyapunov-like lemma for non-autonomous systems. The control law is simulated for both the nominal and adaptive cases. In the adaptive case both the plant parameters and the actuator time constant are assumed to be unknown.

PDF PDF (1005 Kb)        DOI: 10.4173/mic.1990.3.4

References:
[1] SASTRY, S.S. ISIDORI, A. (1989). Adaptive control of linearizable systems, IEEE Trans. Automatic Control, 34, 1123-1131 doi:10.1109/9.40741
[2] SLOTINE, J.J.E. COETSEE, J. A. (1986). Adaptive sliding controller synthesis for non-linear systems, Int. Journal of Control, 43, 1631-1651 doi:10.1080/00207178608933564
[3] SLOTINE, J.J.E. LI, W. (1987). Adaptive manipulator control: A Case Study, IEEE Int. Conference on Robotics and Automation, 1987, pp. 1392-1401.
[4] SLOTINE, J.J.E. LI, W. (1991). Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, New Jersey 07632.
[5] YOERGER, D.R., SLOTINE, J.E.E. (1985). Robust trajectory control of underwater vehicles, IEEE Journal of Oceanic Engineering, 10, 462-470 doi:10.1109/JOE.1985.1145131


BibTeX:
@article{MIC-1990-3-4,
  title={{Adaptive feedback linearization of non-linear systems with significant actuator dynamics}},
  author={Fossen, Thor I.},
  journal={Modeling, Identification and Control},
  volume={11},
  number={3},
  pages={169--179},
  year={1990},
  doi={10.4173/mic.1990.3.4},
  publisher={Norwegian Society of Automatic Control}
};