Advertisement

Stable Algorithms for Adaptation of Objects with Control Delay

  • H. Z. IgamberdievEmail author
  • A. N. Yusupbekov
  • D. R. Karimov
  • O. P. Shukurova
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1095)

Abstract

An approach to solve the problem of synthesizing stable algorithms for adaptation of dynamic objects with a control delay is proposed. It was demonstrated that the problem of calculating a pseudo-inverse matrix for object control is generally unstable with respect to matrix perturbations. To solve equation for control law, A.N. Tikhonov’s methods of regularization and singular decomposition are used based on the minimal pseudo-inverse matrix. The proposed computational schemes enable the synthesis of object adaptation stable algorithms with control delay and provide high quality control processes.

Keywords

Objects with control delay Adaptation Stable algorithms Minimal pseudo-inverse matrix method Regularization method Singular decomposition 

References

  1. 1.
    Lawson, C.L., Hanson, R.J.: Solving Least Squares Problems. Siam, Philadelphia (1995)CrossRefGoogle Scholar
  2. 2.
    Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (2012)CrossRefGoogle Scholar
  3. 3.
    Yusupbekov, N.R., Igamberdiev, H.Z., Mamirov, U.F.: Algorithms of sustainable estimation of unknown input signals in control systems. Autom. Mob. Rob. Intell. Syst. 12(4), 83–86 (2015).  https://doi.org/10.14313/JAMRIS_4-2018/29CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Tashkent State Technical UniversityTashkentUzbekistan
  2. 2.Karshi Engineering and Economic InstituteKarshiUzbekistan

Personalised recommendations