ALGORITHMS FOR SUSTAINABLE RECOVERY OF INPUT INFLUENCE ON THE BASIS OF DYNAMIC FILTRATION METHODS

Authors

  • H.Z. Igamberdiev Academician of the Academy of Sciences of the Republic of Uzbekistan, Tashkent State Technical University named after Islam Karimov, Tashkent, Uzbekistan Author
  • B.A. Kholodzhayev Researcher in Tashkent State Technical University after Islam Karimov, Tashkent, Uzbekistan Author

DOI:

https://doi.org/10.61841/27a1bc46

Keywords:

sustainable recovery, input impact, dynamic filtering method, regularization

Abstract

The problems of constructing algorithms for the sustainable recovery of unknown signals in dynamic control systems are considered. Algorithms for recovering input actions based on dynamic filtering methods and solving incorrectly posed problems are presented. The regularized Cholesky factorization method for symmetric matrices is used as a regular procedure. The above algorithms make it possible to stabilize the matrix inversion procedure when assessing the state of stochastic objects and thereby improve the accuracy of determining the true state vector estimate under perturbation of the object and observer parameters.

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References

[1] Krutko, P. D. Inverse problems of the dynamics of automatic control theory. –M.: Engineering, 2004. - 576 p.

[2] Alifanov, O.M., Artyukhin, E.A., and Rumyantsev, S.V., Ekstremal'nye metody resheniya nekorrektnykh zadach (Extreme Methods for Solving Ill-Posed Problems), Moscow: Nauka, 1988.

[3] Bakushinsky, A. B., and Goncharsky, A.V., Iterative Solution Methods for Ill-Posed Problems, Nauka, Moscow, Russia, 1989 (in Russian).

[4] Bakushinsky, A.B. Invalid tasks. Numerical methods and applications / A.B. Bakushinsky, A.V. Goncharsky. - M.: Publishing House of Moscow. University, 1989. - 199 p.

[5] Vainikko, G.M. and Veretennikov, A.Y., Iteration Procedures in Ill-Posed Problems. Nauka, Moscow. 1986.

[6] Vasin, V.V., and Ageev, A.L., Incorrect Problems with A Priori Information (Nauka, Ekaterinburg, 1993) (in Russian).

[7] Vasin, V.V. and Eremin, I. I., Operators and Iterative Processes of Fejér Type. Theory and Applications, Ross. Akad. Nauk Ural. Otdel., (2005).

[8] Denisov, A.M., Introduction to the Theory of Inverse Problems [in Russian], Moscow State Univ., Moscow (1994).

[9] Ivanov, V.K., Vasin, V.V., and Tanana, V.P. [1978] The Theory of Linear Ill-Posed Problems and Its Applications, Nauka, Moscow (in Russian).

[10] Filtering and stochastic control in dynamic systems / Ed. K.T. Leondes. Per. from English, - M.: Mir, 1980.-407 p.

[11] Yarlykov, M.S., Primenenie markovskoi teorii nelineinoi fil'tratsii v radiotekhnike (Applications of Markov's Theory of Nonlinear Filtering to Radio Engineering), Moscow: Sovetskoe Radio, 1980.

[12] Brammer K., Ziffling G. Filtr Kalmana—Byusi [Kalman-Bucy filter]. Moscow: Nauka Publ., 1982, 257 p. [in Russ.].

[13] Gantmakher, F.R. (1988). Matrix theory. Moscow: Nauka, 552. https://doi.org/.

[14] Demmel, J. Computational linear algebra. Theory and applications: Trans. From English. –M.: Mir, 2001. 430 p.

[15] Golub, J., Van Loach, C. Matrix calculations: Per. from English—M.: Mir, 1999. –548 p.

[16] Voevodin, V.V. & Kuznetsov, Yu.A. (1984). Matrix and calculations, p. 318, Nauka, Moscow (in Russian).

[17] Lawson Ch, Henson R. Numerical solutions of problems of the method of least squares, Moscow, 1986

[18] Yusupbekov N.R., Igamberdiev H.Z., Mamirov U.F., Algorithms of sustainable estimation of unknown input signals in control systems, in Autom. Mob. Rob. Intell. Syst. 2018, Vol. 12, Issue 4, pp. 83–86. https://doi.org/10.14313/JAMRIS_4-2018/29.

[19] Sevinov, J.U. Algorithms of Sustainable Identification of Dynamic Objects in the Closed Control Line, in International Journal of Innovative Technology and Exploring Engineering (IJITEE). 2019, Vol. 9, Issue 2, pp. 54-56. DOI: 10.35940/ijitee.A4842.129219.

[20] Meleshko V.I. On regularized nonorthogonal factorizations and pseudo inversions of perturbed matrices, J. Comput. mate. and mate. Fiz., 1986, Volume 26, Number 4, -PP. 485–498.

[21] Verzhbitsky V.M. Computational linear algebra. –M.: Higher. school, 2009. –351 p.

[22] Sveshnikov A.A. Applied methods of the theory of Markov processes. - Publisher: Doe, 2007.

[23] Al-Jaleeli, Y.A.E. On-line test model for people with visual impairment using information technology and braille (2018) International Journal of Pharmaceutical Research, 10 (4), pp. 255-258. https://www.scopus.com/inward/record.uri?eid=2-s2.0 85056113597&partnerID=40&md5=eb192c3380f5af0078e2562bca26cb7d

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Published

31.05.2020

How to Cite

Igamberdiev, H., & Kholodzhayev, B. (2020). ALGORITHMS FOR SUSTAINABLE RECOVERY OF INPUT INFLUENCE ON THE BASIS OF DYNAMIC FILTRATION METHODS. International Journal of Psychosocial Rehabilitation, 24(3), 232-239. https://doi.org/10.61841/27a1bc46