MULTIOBJECTIVE OPTIMAL DESIGN OF STRUCTURE AND CONTROL OF A CONTINUOUSLY VARIABLE TRANSMISSION

Jaime Alvarez-Gallegos, Carlos A. Cruz-Villar, Edgar A. Portilla-Flores

Abstract

An approach to solve the mechatronic design problem is to formulate the problem as a multiobjective dynamic optimization problem (MDOP), where kinematic and dynamic models of the mechanical structure and the dynamic model of the controller are considered besides a set of constraints and a performance criteria. This design methodology can provide a set of optimal mechanical and controller parameters so that the desired dynamic behavior and the performance criteria are satisfied. In this paper a MDOP is proposed and applied to a continuously variable transmission (CVT). Performance criteria are the mechanical efficiency and the minimal controller energy. The goal attainment method and a sequential approach are used to solve the MDOP.

References

  1. Alvarez-Gallegos, J., Cruz-Villar, C., and Portilla-Flores, E. (2005). Parametric optimal design of a pinionrack based continuously variable transmission. In IEEE/ASME International Conference on Advanced Intelligent Mechatronics (Accepted paper).
  2. Betts, J. (2001). Practical Methods for Optimal Control using Nonlinear Programming. SIAM, Philadelphia, USA, 1st edition.
  3. De-Silva, C., Schultz, M., and Dolejsi, E. (1994). Kinematic analysis and design of a continuously variable transmission. In Mech. Mach. Theory, Vol 29, No. 1 pp. 149-167. PERGAMON Press.
  4. Goh, C. and Teo, K. (1988). Control parametrization: a unified approach to optimal control problems with general constraints. In Automatica, Vol 24, No. 1 pp. 3-18. Pergamon Journals Ltd.
  5. Li, Q., Zhang, W., and Chen, L. (2001). Design for control-a concurrent engineering approach for mechatronic systems design. In Transactions on Mechatronics, Vol 6, No. 2 pp. 161-168. IEEE/ASME.
  6. Liu, G. P., Yang, J., and Whidborne, J. (2003). Multiobjective Optimisation and Control. Research Studies Press LTD., Baldock, Hertfordshire, England, 1st edition.
  7. Norton, R. (1996). Machine Design, An integrated approach. Prentice Hall Inc., Upper Saddle River, NJ 07458, 1st edition.
  8. Osyczka, A. (1984). Multicriterion optimization in engineering. John Wiley and Sons., 605 Third Avenue, New York, N.Y. 10016, USA., 1st edition.
  9. Papalambros, P. and Wilde, D. (2000). Principle of optimal design. Modelling and computation. Cambridge University Press, The Edinburg Building, Cambridge CB2 2RU, UK, 1st edition.
  10. Setlur, P., Wagner, J., Dawson, D., and Samuels, B. (2003). Nonlinear control of a continuously variable transmission (cvt). In Transactions on Control Systems Technology, Vol 11, pp. 101-108. IEEE.
  11. Shafai, E., Simons, M., Neff, U., and Geering, H. (1995). Model of a continuously variable transmission. In First IFAC Workshop on Advances in Automotive Control, pp. 575-593.
  12. Spotts, M. (1964). Mechanical Design Analysis. Prentice Hall Inc., Englewood Cliffs, N.J., 1st edition.
  13. van Brussel, H., Sas, P., NĂ©meth, I., Fonseca, P. D., and van den Braembussche, P. (2001). Towards a mechatronic compiler. In Transactions on Mecatronics, Vol 6, No. 1 pp. 90-104. IEEE/ASME.
  14. Zhang, W., Li, Q., and Guo, L. (1999). Integrated design of a mechanical structure and control algorithm for a programmable four-bar linkage. In Transactions on Mechatronics, Vol 4, No. 4 pp. 354-362. IEEE/ASME.
Download


Paper Citation


in Harvard Style

Alvarez-Gallegos J., A. Cruz-Villar C. and A. Portilla-Flores E. (2005). MULTIOBJECTIVE OPTIMAL DESIGN OF STRUCTURE AND CONTROL OF A CONTINUOUSLY VARIABLE TRANSMISSION . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 972-8865-29-5, pages 154-160. DOI: 10.5220/0001185001540160


in Bibtex Style

@conference{icinco05,
author={Jaime Alvarez-Gallegos and Carlos A. Cruz-Villar and Edgar A. Portilla-Flores},
title={MULTIOBJECTIVE OPTIMAL DESIGN OF STRUCTURE AND CONTROL OF A CONTINUOUSLY VARIABLE TRANSMISSION},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2005},
pages={154-160},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001185001540160},
isbn={972-8865-29-5},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - MULTIOBJECTIVE OPTIMAL DESIGN OF STRUCTURE AND CONTROL OF A CONTINUOUSLY VARIABLE TRANSMISSION
SN - 972-8865-29-5
AU - Alvarez-Gallegos J.
AU - A. Cruz-Villar C.
AU - A. Portilla-Flores E.
PY - 2005
SP - 154
EP - 160
DO - 10.5220/0001185001540160