Skip to main content

Optimal Control Methods for Mechatronic Systems

  • Chapter
  • First Online:

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 120))

Abstract

A number of methods have been devised to deal with the problem of optimal control. These include the Bellman’s dynamic programming, which is a very common method that allows for the algorithm synthesis of an optimal linear-quadratic regulator. Equally interesting are the methods for control law synthesis that use the Pontryagin’s maximum principle.

This is a preview of subscription content, log in via an institution.

Notes

  1. 1.

    Takahashi, Y., Rabins, M.J., Auslander, D.M.: Control and Dynamical Systems. (in Polish) WNT, Warsaw (1976), p. 568.

References

  1. Bellman, R.: Dynamic Programming. Princeton University Press, New York (1957)

    MATH  Google Scholar 

  2. Bertsekas, D.P.: Dynamic Programming and Optimal Control, vol. I. Athena Scientific, Belmont, II (2005)

    MATH  Google Scholar 

  3. Ferrari, S., Stengel, R.F.: Model-based adaptive critic designs in learning and approximate dynamic programming. In: Si, J., Barto, A., Powell, W., Wunsch, D.J. (eds.) Handbook of Learning and Approximate Dynamic Programming, pp. 64–94. Wiley & Sons, New York (2004)

    Google Scholar 

  4. Grecki, H.: Optimization and Control of Dynamic Systems. (in Polish) AGH University of Science and Technology Press, Krakow (2006)

    Google Scholar 

  5. Kaczorek, T.: Control Theory. (in Polish) vol. II, PWN, Warsaw (1981)

    Google Scholar 

  6. Kirk, D.E.: Optimal Control Theory. Dover Publications, New York (2004)

    Google Scholar 

  7. Takahashi, Y., Rabins, M.J., Auslander, D.M.: Control and Dynamic Systems. (in Polish) WNT, Warsaw (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marcin Szuster .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Szuster, M., Hendzel, Z. (2018). Optimal Control Methods for Mechatronic Systems. In: Intelligent Optimal Adaptive Control for Mechatronic Systems. Studies in Systems, Decision and Control, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-319-68826-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-68826-8_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68824-4

  • Online ISBN: 978-3-319-68826-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics