ALGORITHMS FOR COMBINED REGULAR SYNTHESIS OF CONTROLLER PARAMETERS IN CONTROL SYSTEMS FOR DYNAMIC OBJECTS

Authors

Khusan Zakirovich Igamberdiev, Tashkent State Technical University, Tashkent city, Republic of Uzbekistan, DSc, Professor, Academic, https://orcid.org/0000-0003-3047-5261Follow
Latafat Abbas gizi Gardashova, Azerbaijan State Oil and Industry University, Baku city, Republic of Azerbaijan, DSc, Professor, https://orcid.org/0000-0003-3227-2521Follow
Yulduz Mukhtarkhodjayevna Abdurakhmanova, Tashkent State University of Economics, Tashkent city, Republic of Uzbekistan, PhD, Associate Professor, https://orcid.org/0009-0001-3881-358XFollow
Uktam Farkhodovich Mamirov, Tashkent State Technical University, Tashkent city, Republic of Uzbekistan,DSc, Professor, https://orcid.org/0000-0002-5596-2819Follow

Abstract

Nonlinear control system that includes m-dimensional input control signal and extended (n+s) - dimensional state vector, the last s components of which form a vector of unknown parameters θ satisfying a general difference equation is being considered. The quality criterion is determined by the loss function. The optimal control must satisfy the Bellman equation with respect to the optimal loss function. To be defined an approximate solution that preserves an active use of information. For this purpose, the system is linearized in accordance to the nominal trajectory. This problem is seen as incorrectly stated. The values of the preliminary data are mainly approximate, and conditions under which the approximation can be performed are given. Once approximation is made, equations that are solved using iterative methods are obtained. Based on iterative regularization principle when approximations on residual criterion to be taken, then the steepest descent method will be a regularization algorithm for solving the problem of calculating the vector of controller parameters. The presented algorithms make it possible to regularize the problem of estimating the controller parameters under consideration and obtain estimates of the required quantities that are stable to priori unknown external disturbances.

First Page

41

Last Page

45

References

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Erratum

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Recommended Citation

Igamberdiev, Khusan Zakirovich; Gardashova, Latafat Abbas gizi; Abdurakhmanova, Yulduz Mukhtarkhodjayevna; and Mamirov, Uktam Farkhodovich (2025) "ALGORITHMS FOR COMBINED REGULAR SYNTHESIS OF CONTROLLER PARAMETERS IN CONTROL SYSTEMS FOR DYNAMIC OBJECTS," Technical science and innovation: Vol. 2025: Iss. 2, Article 8.
DOI: https://doi.org/10.59048/2181-1180.1728
Available at: https://btstu.researchcommons.org/journal/vol2025/iss2/8