REGULAR SYNTHESIS ALGORITHMS OF CONTROL DEVICES IN NONLINEAR CONTROL SYSTEMS

Authors

• Husan Zakirovich Igamberdiyev, academician of the Academy of Sciences of the Republic of Uzbekistan, doctor of technical sciences, professor of the department “Information Processing Systems and Control” at Tashkent state technical university named after Islam Karimov, Address: 100095, University str. 2, Tashkent, Uzbekistan. E-mail: ihz.tstu@gmail.com;Follow
• Iskandar Yusupovich Abdurakhmanov, Chief Specialist, MOORE CA APPRAISERS LLC, 100 000, Amir Temur str. 25, Tashkent, Uzbekistan, E-mail: abdu_iskan@mail.ru;Follow
• Uktam Farkhodovich Mamirov, doctor of technical sciences, professor of the department “Information Processing Systems and Control” at Tashkent state technical university named after Islam Karimov, Address: 100095, University str. 2, Tashkent, Uzbekistan, E-mail: uktammamirov@gmail.com.Follow

Abstract

This paper examines the development of regularized algorithms for synthesizing control devices in control systems for polynomial objects, described by multidimensional Volterra functional series. The synthesis problem is solved using a two-stage procedure. In the first stage, the optimization problem is initially solved for an open-loop system. The second stage involves determining the parameters of the control device, i.e., its impulse response functions, by using the relationship between the characteristics of the open-loop and closed-loop systems. Regular algorithms are presented for finding the impulse response functions of the control device based on methods for regularizing the solution of operator equations with positive-definite matrices and an approximately defined right-hand side. The presented regularized algorithms for synthesizing control devices in systems for polynomial objects can be easily implemented using modern computing tools. Furthermore, the concepts and methods of the regularization approach prove highly effective for increasing the accuracy of the control device synthesis procedure.

First Page

60

Last Page

68

References

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Recommended Citation

Igamberdiyev, Husan Zakirovich; Abdurakhmanov, Iskandar Yusupovich; and Mamirov, Uktam Farkhodovich (2026) "REGULAR SYNTHESIS ALGORITHMS OF CONTROL DEVICES IN NONLINEAR CONTROL SYSTEMS," Chemical Technology, Control and Management: Vol. 2026: Iss. 2, Article 8.
DOI: https://doi.org/10.59048/2181-1105.1764