Skip to main content
Log in

Synthesis of multipurpose linear control laws of discrete objects under integral and phase constraints

  • Linear Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Multipurpose linear discrete control laws are synthesized, which afford a suboptimal value of the goal functional of the integral type or the kind of maximum in time from the square of the norm of a controllable output in the fulfilment of integral and phase constraints.

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. Hu, T. and Lin, Z., Control Systems with Actuator Saturation, Norwell: Birkhauser, 2001.

    Book  MATH  Google Scholar 

  2. Balandin, D.V. and Kogan, M.M., Linear Control Design Under Phase Constraints, Autom. Remote Control, 2009, no. 4, pp. 958–966.

  3. Balandin, D.V. and Kogan, M.M., The Method of Lyapunov Functions in Synthesis of Control Laws under Integral and Phase Constraints, Differ. Uravn., 2009, vol. 45, no. 5, pp. 655–664.

    MathSciNet  Google Scholar 

  4. Balandin, D.V. and Kogan, M.M., LMI Based Multi-Objective Control under Multiple Integral and Output Constraints, Int. J. Control, 2010, vol. 83, no. 2, pp. 227–232.

    Article  MATH  MathSciNet  Google Scholar 

  5. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., Linear Matrix Inequalities in System and Control Theory, Philadelphia: SIAM, 1994.

    MATH  Google Scholar 

  6. Balandin, D.V. and Kogan, M.M., Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv (Synthesis of Control Laws on the Basis of Linear Matrix Inequalities), Moscow: Fizmatlit, 2007.

    Google Scholar 

  7. Balandin, D.V. and Kogan, M.M., Optimal Linear-Quadratic Control in the Class of Output Feedbacks, Dokl. Akad. Nauk, 2007, vol. 415, no. 6, pp. 748–750.

    Google Scholar 

  8. Yakubovich, V.A., Nonconvex Optimization Problems: The Infinite-Horizon Linear-Quadratic Problems with Quadratic Constraints, Syst. Control Lett., 1992, vol. 16, pp. 13–22.

    Article  MathSciNet  Google Scholar 

  9. Dahleh, M.A. and Pearson, J.B., l 1-Optimal Feedback Controllers for MIMO Discrete-Time Systems, IEEE Trans. Automat. Control, 1987, vol. AC-32, no. 4, pp. 314–322.

    Article  Google Scholar 

  10. Horn, R.A. and Johnson, C.R., Matrix Analysis, Cambridge: Cambridge Univ. Press, 1985. Translated under the title Matrichnyi analiz, Moscow: Mir, 1989.

    MATH  Google Scholar 

  11. Gelig, A.H., Leonov, G.A., and Yakubovich, V.A., Ustoichivost’ nelineinykh system s needinstvennym sostoyaniem ravnovesiya (Stability of Nonlinear Systems with the Nonunique Equilibrium State), Moscow: Nauka, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © M.M. Kogan, L.N. Krivdina, 2011, published in Avtomatika i Telemekhanika, 2011, No. 7, pp. 83–95.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kogan, M.M., Krivdina, L.N. Synthesis of multipurpose linear control laws of discrete objects under integral and phase constraints. Autom Remote Control 72, 1427–1439 (2011). https://doi.org/10.1134/S0005117911070113

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117911070113

Keywords

Navigation