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Are there New Industrial Perspectives in the Control of Mechanical Systems?

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Advances in Control

Summary

Three industrial nonlinear control applications in the field of mechanical systems are presented and recently emerged engineering motivated questions addressed: the first one deals with a new approach to aircraft flight control systems, the second one with crane driving assistance and the last one with semi-active and active suspension design for cars. They combine a physical model based approach with singular perturbations and flatness based motion planning and tracking controller design.

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References

  1. A. Alleyne and J.K. Hedrick. Nonlinear adaptive control of active suspensions. IEEE Trans. Control Systems Technology, 3, 1995, pp. 94–101.

    Article  Google Scholar 

  2. F. Autran, F. Bessière, J. Lévine and P. Rouchon. La fonction suspension, du passif à l’actif: l’approche Valeo. Proc. EEA-CNRS workshop “Automatique et Automobile”, Bordeaux, June 1995.

    Google Scholar 

  3. L. Bitauld, M. Fliess and J. Lévine. A flatness based control synthesis of linear systems and application to windshield wipers. Proc. ECC’97, Brussels, paper N. 628, 1997.

    Google Scholar 

  4. J. Boichot, E. Delaleau, N. V. Diep, J. Lévine and E. Parzy. Modelling and control of a high-precision positionning system actuated by a linear synchronous motor. Proc. 14th IFAC World Congress, Beijing, July 1999.

    Google Scholar 

  5. J. Boichot, E. Delaleau, N. V. Diep, J. Lévine and E. Parzy. Modelling and control of a 2 d.o.f. high-precision positionning system. Proc. ECC99, Karlsruhe, 1999.

    Google Scholar 

  6. B. Charlet, J. Lévine and R. Marino. Sufficient conditions for dynamic state feedback linearization. SIAM J. Control and Optimiz., 29, 1, p. 38–57, 1991.

    Article  MATH  Google Scholar 

  7. A. Constans. L’apport de l’électronique dans la qualité de la suspension, panorama, potentialités, échéances. Proc. Congrès SIA, Lyon, 1994.

    Google Scholar 

  8. E. Delaleau and J. Rudolph. Control of flat systems by quasi-static feedback of generalized states. Int. J. Control, 71, p. 745–765, 1998.

    Article  MathSciNet  MATH  Google Scholar 

  9. B. Etkin. Dynamics of flight-Stability and control. John Wiley, 1982. Second edition.

    Google Scholar 

  10. M. Fliess, J. Lévine and P. Rouchon. A generalised state variable representation for a simplified crane description. Int. J. of Control, 58, p. 277–283, 1993.

    Article  MATH  Google Scholar 

  11. M. Fliess, J. Lévine, Ph. Martin, F. Ollivier and P. Rouchon. Controlling nonlinear systems by flatness. In Systems and Control in the Twenty-First Century, C.I. Byrnes, B.N. Datta, D.S. Gilliam and C.F. Martin, 137–154, Birkhäuser, Boston, 1997.

    Google Scholar 

  12. M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. Flatness and defect of nonlinear systems: introductory theory and applications. Int. J. of Control, 61, p. 1327–1361, 1995.

    Article  MATH  Google Scholar 

  13. M. Fliess, J. Lévine, Ph. Martin, and P. Rouchon. A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. IEEE Trans. Automatic Control, to appear, 1999.

    Google Scholar 

  14. T. Gustafsson. On the design and implementation of a rotary crane controller. European J. Control, 2, p. 166–175, 1996.

    MATH  Google Scholar 

  15. D.C. Karnopp. Active damping in road vehicle suspension systems. Vehicle System Dynamics, 12, 291–316, 1983.

    Article  Google Scholar 

  16. P. Kokotović, H.K. Khalil, and J. O’Reilly. Singular Perturbations Methods in Control: Analysis and Design. Academic Press, 1986.

    Google Scholar 

  17. J. Lévine, J. Lottin and J.C. Ponsart. A nonlinear approach to the control of magnetic bearings. IEEE Trans. on Control Systems Technology, 4, 5, 524–544, 1996.

    Article  Google Scholar 

  18. J. Lévine and P. Rouchon. An invariant manifold approach for robust control design and applications, in “Systems and Networks: Mathematical Theory and Applications”, Vol. II, U. Helmke, R. Mennicken, J. Saurer eds., Akademie Verlag, p. 309–312, 1994.

    Google Scholar 

  19. J. Lévine, P. Rouchon, G. Yuan, C. Grebogi, B.R. Hunt, E. Kostelich, E. Ott and J. Yorke. On the control of US Navy cranes. Proc. ECC’97, Brussels, paper N. 717, 1997.

    Google Scholar 

  20. B. Lohmann. Application of model order reduction to a hydropneumatic vehicle suspension. IEEE Trans. Control Systems Technology, 3, 1995, pp. 102–109.

    Article  Google Scholar 

  21. Ph. Martin. Contribution à l’Étude des Systèmes Différentiellement Plats. PhD thesis, École des Mines de Paris, France, 1992.

    Google Scholar 

  22. Ph. Martin. Aircraft control using flatness. Proc. CESA Multiconference, Lille, p. 194–199, 1996

    Google Scholar 

  23. P. Martin, R.M. Murray and P. Rouchon. Flat systems. Plenary Lectures and Minicourses, G. Bastin and M. Gevers Eds. Proc. ECC 97, Brussels, 1997, pp. 211–264.

    Google Scholar 

  24. Ph. Martin and P. Rouchon. Flatness and sampling control of induction motors. Proc. IFAC World Congress, San Francisco, 1996.

    Google Scholar 

  25. A. Marttinen, J. Virkkunen, and R.T. Salminen. Control Study with a Pilot Crane. IEEE Trans. Edu., 33: 298–305, 1990.

    Article  Google Scholar 

  26. D. McLean. Automatic Flight Control Systems. Prentice Hall, 1990.

    MATH  Google Scholar 

  27. D.T. McRuer, I.L. Ashkenas, and D.C. Graham. Aicraft Dynamics and Automatic Control. Princeton University Press, 1973.

    Google Scholar 

  28. Ph. Mullhaupt, B. Srinivasan, J. Lévine and D. Bonvin. A toy more difficult to control than the real thing. Proc. ECC’97, Brussels, paper N. 440, 1997.

    Google Scholar 

  29. Ph. Mullhaupt, B. Srinivasan, J. Lévine and D. Bonvin. Cascade control using flatness. Proc. ECC’99, Karslruhe, 1999.

    Google Scholar 

  30. R. Rajamani and J.K. Hedrick. Adaptive observers for active automotive suspensions; theory and experiments. IEEE Trans. Control Systems Technology, 3, 1995, pp. 86–93.

    Article  Google Scholar 

  31. R. Rothfuß, J. Rudolph and M. Zeitz. Flatness Based Control of a Nonlinear Chemical Reactor Model. Automatica, 32, p. 1433–1439, 1996.

    Article  MATH  Google Scholar 

  32. R. Rothfuß, J. Rudolph and M. Zeitz. Flachheit: Ein neuer Zugang zur Steuerung und Regelung nichtlinearer Systeme. Automatisierungstechnik, 45, p. 517–525, 1997.

    Google Scholar 

  33. J. Rudolph and E. Delaleau. Some examples and remarks on quasi-static feedback of generalized states. Automatica, Vol. 34, 8, p. 993–999, 1998.

    Article  MathSciNet  MATH  Google Scholar 

  34. A.N. Tikhonov, A.B. Vasil’eva, and A.G. Sveshnikov. Differential equations. Springer-Verlag, 1985.

    Google Scholar 

  35. M. Vukobratović and R. Stojić. Modern Aircraft Flight Control. Springer-Verlag, 1988.

    Book  MATH  Google Scholar 

  36. J.C. Wanner. Dynamique du vol et pilotage des avions. Technical report, École Nationale Supérieure de l’Aéronautique et de l’Espace, Toulouse, France, 1984.

    Google Scholar 

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© 1999 Springer-Verlag London Limited

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Lévine, J. (1999). Are there New Industrial Perspectives in the Control of Mechanical Systems?. In: Frank, P.M. (eds) Advances in Control. Springer, London. https://doi.org/10.1007/978-1-4471-0853-5_7

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  • DOI: https://doi.org/10.1007/978-1-4471-0853-5_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1216-7

  • Online ISBN: 978-1-4471-0853-5

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