REDUCED ORDER H∞ SYNTHESIS USING A PARTICLE SWARM OPTIMIZATION METHOD

Guillaume Sandou, Gilles Duc, Patrick Boucher

2008

Abstract

H∞ controller synthesis is a well known design method for which efficient dedicated methods have been developed. However, such methods compute a full order controller which has often to be reduced to be implemented. Indeed, the reduced order H∞ synthesis is a non convex optimization problem due to rank constraints. In this paper, a particle swarm optimization method is used to solve such a problem. Numerical results show that the computed controller has a lower H∞ norm than the controller computed from a classical Hankel reduction of the full order H∞ controller.

References

  1. Eberhart, R. C, Kennedy, J., 1995. A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan. pp. 39-43.
  2. Eberhart, R. C., Shi, Y., 2000. Comparing inertia weigthts and constriction factors in particle swarm optimization. Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2000), San Diego, CA, USA, p 84-88.
  3. El Ghaoui, L., Oustry, F., AitRami, M., 1997. A cone complementary linearization algorithm for static output feedback and related problems. In: IEEE Transactions on Automatic Control, Vol. 42(8), pp. 1171-1176.
  4. Gahinet, P., Apkarian P., 1994. A linear matrix inequality approach to H8 control. In International Journal of Robust and Nonlinear Control, Vol. 4, pp. 421-448.
  5. Glover, K., Doyle, J.C., 1988. State-state formulae for all stabilizing controllers that satisfy an H8-norm bound and relations to risk sensitivity. In Systems and Control Letters, Vol.11, pp. 167-172.
  6. Kennedy, J. and M. Clerc, 2006. Standard PSO. http://www.particleswarm.info/Standard_PSO_2006.c
Download


Paper Citation


in Harvard Style

Sandou G., Duc G. and Boucher P. (2008). REDUCED ORDER H∞ SYNTHESIS USING A PARTICLE SWARM OPTIMIZATION METHOD . In Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8111-30-2, pages 302-305. DOI: 10.5220/0001489703020305


in Bibtex Style

@conference{icinco08,
author={Guillaume Sandou and Gilles Duc and Patrick Boucher},
title={REDUCED ORDER H∞ SYNTHESIS USING A PARTICLE SWARM OPTIMIZATION METHOD},
booktitle={Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2008},
pages={302-305},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001489703020305},
isbn={978-989-8111-30-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - REDUCED ORDER H∞ SYNTHESIS USING A PARTICLE SWARM OPTIMIZATION METHOD
SN - 978-989-8111-30-2
AU - Sandou G.
AU - Duc G.
AU - Boucher P.
PY - 2008
SP - 302
EP - 305
DO - 10.5220/0001489703020305