OPTIMAL CONTROL APPLIED TO OPTIMIZATION OF MOBILE SWITCHING SURFACES PART II : APPLICATIONS

Céline Quémard, Jean-Claude Jolly

2005

Abstract

To reinforce interest of a general optimization algorithm obtained in a previous paper (Jolly et al., 2005), we consider three applications : an original one about control of cycles for a thermostat with anticipative resistance, a classical one with a new resolution for a car with two gears and a last one about an obstacle-avoidance problem in robotics. For the first case, we optimize the adjustment of thermostat thresholds to control at best the room temperature. For the second case, we optimize the switching times to stop the car as near as possible of chosen points and this, in a minimum time . In the last example, we optimize parameters of the switching surfaces in order that the robot reaches a chosen target without meeting a mobile obstacle.

References

  1. Boccadoro, M. (2004). Optimal Control of Switched Systems with applications to Robotics and Manufacturing. PhD thesis, Università degli Studi, Perugia, Italia.
  2. Cébron, B. (2000). Commande de systèmes dynamiques hybrides. PhD thesis, Istia, Angers, France.
  3. Cyssau, R. (1990). Manuel de la régulation et de la gestion de l'énergie. Ass. Confort Regulation, Pyc edition.
  4. Gapaillard, M. (2003). Optimal Control for a Class of Hybrid System via a Stochastic Method. In Proceedings of IEEE - ICCA. Montreal.
  5. Hedlund, S. and Rantzer, A. (2002). Convex Dynamic Programming for Hybrid Systems. In IEEE Transactions on Automatic Control.
  6. Jolly, J.-C., Quémard, C., and Ferrier, J.-L. (2005). Optimal Control Using Parameterized Mobile Switching Surfaces. Part 1: Algorithm. In ICINCO 2005.
  7. Quémard, C., Jolly, J.-C., and Ferrier, J.-L. (2005). Search for Cycles in Piecewise Linear Hybrid Dynamical Systems with Autonomous Switchings. Application to a Thermal Device. In IMACS'2005 World Congress.
  8. Wardi, Y., Egerstedt, M., Boccadoro, M., and Verriest, E. (2004). Optimal Control of Switching Surfaces. In CDC'2004.
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Paper Citation


in Harvard Style

Quémard C. and Jolly J. (2005). OPTIMAL CONTROL APPLIED TO OPTIMIZATION OF MOBILE SWITCHING SURFACES PART II : APPLICATIONS . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-31-7, pages 372-377. DOI: 10.5220/0001184703720377


in Bibtex Style

@conference{icinco05,
author={Céline Quémard and Jean-Claude Jolly},
title={OPTIMAL CONTROL APPLIED TO OPTIMIZATION OF MOBILE SWITCHING SURFACES PART II : APPLICATIONS},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2005},
pages={372-377},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001184703720377},
isbn={972-8865-31-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - OPTIMAL CONTROL APPLIED TO OPTIMIZATION OF MOBILE SWITCHING SURFACES PART II : APPLICATIONS
SN - 972-8865-31-7
AU - Quémard C.
AU - Jolly J.
PY - 2005
SP - 372
EP - 377
DO - 10.5220/0001184703720377