Skip to main content
Log in

Second-order improvement method to solve problems of optimal control of the logic-dynamic systems

  • Logic Control
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Consideration was given to the problem of optimal control of the logic-dynamic (mixed discrete-continuous in time and controllable) systems. A second-order improvement algorithm was developed for it on the basis of the Krotov sufficient optimality conditions. Examples were given.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bortakovskij, A.S. and Panteleev, A.V., Sufficient Conditions of Optimal Control of Continuous-Discrete Systems, Autom. Remote Control, 1987, no. 7, pp. 880–887.

  2. Bortakovskij, A.S., Sufficient Conditions for Optimal Control of the Deterministic Logic-Dynamic Systems, Informatika. Ser. Avtomatizatsiya proektirovaniya, 1992, no. 2–3, Moscow: VNIMI, pp. 16–22.

    Google Scholar 

  3. Bortakovskij, A.S., Sufficient Conditions for Optimality of the Automatic Part of the Logic-Dynamic System, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2006, no. 6, pp. 77–92.

  4. Semenov, V.V., Dynamic Programming of the Design of Logic-Dynamic Systems, Priborostroenie, 1984, no. 2, pp. 24–31.

  5. Krotov, V.F., Global Methods in Optimal Control Theory, New York: Marcel Dekker, 1996.

    MATH  Google Scholar 

  6. Krotov, V.F. and Gurman, V.I., Metody i zadachi optimal’nogo upravleniya (Optimal Control: Methods and Problems), Moscow: Nauka, 1973.

    Google Scholar 

  7. Gurman, V.I., Printsip rasshireniya v zadachakh upravleniya (Principle of Extension in the Problems of Control), Moscow: Nauka, 1997.

    MATH  Google Scholar 

  8. Baturin, V.A. and Urbanovich, D.E., Priblizhennye metody optimal’nogo upravleniya, osnovannye na printsipe rasshireniya (Extension-based ApproximateMethods of Optimal Control), Novosibirsk: Nauka, 1997.

    Google Scholar 

  9. Jacobson, D.H., New Second-order and First-order Algorithms for Determining Optimal Control. A Differential Programming Approach, J. Optim. Theory Appl., 1968, vol. 2, no. 4, pp. 431–440.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.A. Baturin, N.S. Maltugueva, 2011, published in Avtomatika i Telemekhanika, 2011, No. 4, pp. 144–154.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baturin, V.A., Maltugueva, N.S. Second-order improvement method to solve problems of optimal control of the logic-dynamic systems. Autom Remote Control 72, 808–817 (2011). https://doi.org/10.1134/S0005117911040114

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117911040114

Keywords

Navigation