ALGORITHMS FOR SYNTHESIS OF DISCRETE CONTROLLERS IN NONLINEAR CONTROL SYSTEMS WITH DELAY

Authors

Alisher Rajabaliyevich Mallayev, Karshi Engeneering-Economic Institute, Address: Independence, 225 st., 180100, Karshi city, Republic of Uzbekistan E-mail: sayyod@rambler.ru,Follow
Suban Nurullayevich Xusanov, Karshi Engeneering-Economic Institute, Address: Independence, 225 st., 180100, Karshi city, Republic of Uzbekistan E-mail: suban1983@mail.ru, Phone: +998-93-902-72-70.Follow

Abstract

Algorithms for the synthesis of discrete controllers in nonlinear control systems, taking into account the delay, have been proposed. The synthesized vector controller provides a solution to the control problem, for example, the translation of the image point of a closed system from arbitrary initial conditions to the origin of the phase space coordinates. Built on the basis of a series-parallel set of invariant manifolds, the dynamic discrete controller ensures the fulfillment of the specified technological requirements, the asymptotic stability of a closed discrete-continuous system, and has the property of predicting the behavior of the system after sampling. These algorithms have made it possible to effectively solve the problems of synthesis of discrete controllers, taking into account the delay in process control systems.

First Page

80

Last Page

86

References

1. A.A.Krasovskogo, Spravochnik po teorii avtomaticheskogo upravleniya, Мoskva: Nauka, 1987. (in Russian).
2. Y.Y. Gromov i dr., Sistemi avtomaticheskogo upravleniya s zapazdivaniyem [Automatic control system with delay]: ucheb, posobiye, Tambov: Izd-vo Tambov, gos. texn, unta, 2007, 76 p. (in Russian).
3. Kh.Z.Igamberdiev, A.N.Yusupbekov, O.O.Zaripov, Regular methods for evaluating and managing dynamic objects under conditions of uncertainty. Tashkent: Tashkent State Technical University, 2012, 320 p.
4. A.A. Kolesnikov, Modern Applied Control Theory: Synergetic Approach in Control Theory, Taganrog: Publishing house of TRTU, 2000. Part II.
5. X.Z.Igamberdiyev, J.U. Sevinov, O.O.Zaripov, Regulyarniye metodi i algoritmi sinteza adaptivnix system upravleniya s nastraivayemimi modelyami [Regular methods and algorithms for the synthesis of adaptive control systems with customizable models]. Tashkent: TashGTU, 2014, 160 p. (in Russian).
6. N.R.Yusupbekov, H.Z. Igamberdiev, J.U.Sevinov, “Formalization of Identification Procedures of Control Objects as a Process in the Closed Dynamic System and Synthesis of Adaptive Regulators”, Journal of Advanced Research in Dynamical and Control Systems, vol. 12, no. 06-Special Issue, pp. 77-88. DOI:10.5373/JARDCS/V12SP6/SP20201009.
7. V.A.Bogdanovich, A.G.Vostretsov, Teoriya ustoychivogo obnarujeniya razlicheniya i otsenivaniya signalov [Theory of sustained difference detection and signal evaluation]. Izd-vo: Fizmatlit, 2004, 320 p.
8. I.V.Miroshnik, V.O.Nikiforov, A.L.Fradkov, Nelineynoye i adaptivnoye upravleniye slojnimi dinamicheskimi sistemami [Nonlinear and adaptive control of complex dynamic systems]. Sankt-Peterburg: Nauka, 2000, 549 p. (in Russian).
9. R.Dorf, R.Bishop, Sovremenniye sistemi upravleniya [Modern control systems]. Мoscow: Yunimedia-stayl, 2002, 822 p.
10. G.E.Veselov, “Prikladnaya teoriya sinergeticheskogo sinteza iyerarxicheskix sistem upravleniya” [Applied theory of synergetic synthesis of hierarchical control systems], Izvestiya TRTU. Tematicheskiy vipusk. Prikladnaya sinergetika i sistemniy sintez, no. 6(61), pp. 73-84, 2006. (in Russian).
11. G.Е.Veselov, “Sinergeticheskiy sintez vektornix diskretnix regulyatorov elektroprivodov peremennogo toka” [Synergetic synthesis of vectornix discretnix regulators of AC electric drives], Izvestiya Tulskogo gosudarstvennogo universiteta. Seriya “Problemi unravleniya elektromexanicheskimi obyektami”. Vtoraya vserossiyskaya nauchnoprakticheskaya konferensiya «Sistemi upravleniya elektromexanicheskimi obyektami», Tula, 2002. pp. 83-85. (in Russian).
12. А.R.Mallaev, S.N.Xusanov, J.U.Sevinov, “Algorithms of Nonparametric Synthesis of Discrete One-Dimensional Controllers”, International Journal of Advanced Science and Technology, no. 29(5 Special Issue), pp. 1045-1050, 2020.
13. J.U.Sevinov, A.R.Mallaev, S.N.Xusanov, “Algorithms for the Synthesis of Optimal Linear-Quadratic Stationary Controllers”, In: Aliev R.A., Yusupbekov N.R., Kacprzyk J., Pedrycz W., Sadikoglu F.M. (eds) 11th World Conference “Intelligent System for Industrial Automation” (WCIS-2020). WCIS 2020. Advances in Intelligent Systems and Computing, vol 1323, 2021. Springer, Cham. https://doi.org/10.1007/978-3-030-68004-6_9.
14. A.R.Mallayev, S.N.Xusanov, “Estimation of Parameters of Settings of Regulators Based on Active Adaptation Algorithm”, International Journal of Advanced Research in Science, Engineering and Technology, vol. 6, Issue 8, pp.10376-10380, 2019.

Recommended Citation

Mallayev, Alisher Rajabaliyevich and Xusanov, Suban Nurullayevich (2021) "ALGORITHMS FOR SYNTHESIS OF DISCRETE CONTROLLERS IN NONLINEAR CONTROL SYSTEMS WITH DELAY," Chemical Technology, Control and Management: Vol. 2021: Iss. 2, Article 12.
DOI: https://doi.org/10.51346/tstu-02.21.1-77-0012