Yu.P. Korniushin – Dr. Sc.(Eng.), Professor, 

Kaluga branch of the Bauman MSTU

E-mail: theroland@yandex.ru

The problem is due to the fact that radio engineering systems, as a rule, contain non-linear elements, the solution of the synthesis problem for which is an extremely important and actively developing field of science. The synthesis of regulators for such systems is associated with significant difficulties, which as a result leads to the complexity of their subsequent implementation. The proposed one of the possible ways to solve the problem of synthesis of regulators. The proposed approach is based on two methods: 1. The linearization method according to the Newton-Kantorovich scheme, which allows one to reduce nonlinear differential equations describing the dynamics of the control object to a sequence of linearized differential equations whose coefficients depend on the solutions obtained at previous iterations. 2. The classical method of analytical synthesis of servo controllers (AKOR) for a class of nonautonomous control systems. The joint use of these methods allows us to reduce the problem in a nonlinear formulation to a sequence of linear problems. The synthesis algorithm includes the following steps: 1. Linearization of the dynamics equation of the object (1), according to the Newton – Kantorovich scheme. 2. Synthesis of an optimal controller for a linearized system based on the AKOR method at the current step of the iterative process. 3. Organization of an iterative process to refine the parameters of the synthesized controller. The application of the AKOR method, in turn, allows you to build a physically feasible controller suitable for its subsequent operation. The proposed algorithm for synthesizing controllers can be used in the design of systems that automatically monitor the frequency and phase of input oscillations in radio receivers, systems for automatically tracking the temporary position of radio and video pulses in radar, radio navigation, radio control, sighting systems, goniometric tracking systems, designed to support targets, tracking artificial Earth satellites or other near space objects, etc.

1. Sizykh V.V., Shakhtarin B.I., Shevtsev V.A. Mekhanizm sryva slezheniya v stokhasticheskikh analogovykh sistemakh fazovoi avtopodstroiki pervogo i vtorogo poryadkov. Mekhatronika, avtomatizatsiya, upravlenie. 2017. T. 18. № 1. S. 7−21. https://doi.org/10.17587/mau.18.7-21. (in Russian)
2. Gribov A.F., Tsisarskii A.D., Shakhtarin B.I. Nepreryvnye sistemy fazovoi sinkhronizatsii s kusochno-lineinymi funktsiyami. Radiotekhnika. 2018. № 7. S. 119−128. DOI: 10.18127/j00338486-201807-22. (in Russian)
3. Ermolenko A.I., Korshunov A.I. Raschet tsifrovykh sledyashchikh sistem kombinirovannogo upravleniya s ispolzovaniem predelnoi nepreryvnoi modeli. Ch. II. Raschet tsifrovoi sledyashchei sistemy. Izvestiya VUZov. Priborostroenie. 2019. T. 62. № 7. S. 602−609. (in Russian)
4. Radioelektronnye sistemy. Osnovy postroeniya i teoriya: Spravochnik. Pod red. Ya.D. Shirmana. M.: Radiotekhnika. 2007. 512 s. (in Russian)
5. Barskii A.G. Optiko-elektronnye sledyashchie i pritselnye sistemy. M.: LogoS. 2013. 248 c. (in Russian)
6. Sledyashchie privody. V 3-kh tomakh. Pod red. B.K. Chemodanova. T. 2. Elektricheskie sledyashchie privody. M.: Izd-vo MGTU im. N.E. Baumana. 2003. 880 s. (in Russian)
7. Krutko P.D. Dekompoziruyushchie algoritmy robastno ustoichivykh nelineinykh mnogosvyaznykh upravlyaemykh sistem. Izvestiya RAN. Teoriya i sistemy upravleniya. 2005. № 1. S. 28−45. (in Russian)
8. Kornyushin Yu.P., Melnikov D.V. Kontseptsiya sinteza regulyatorov sledyashchikh sistem dlya klassa nelineinykh ob’ektov upravleniya na osnove metoda matrichnykh operatorov. Materialy 15-i Mezhdunar. NTK po avtomaticheskomu upravleniyu (AVTOMATIKA – 2008). Odessa: Odesskaya natsionalnaya morskaya akademiya. 2008. S. 268 – 269. (in Russian)
9. Yurkevich V.D. Raschet i nastroika regulyatorov dlya nelineinykh sistem s raznotempovymi protsessami. Avtometriya. 2012. T. 48. № 5. S. 24−31. (in Russian)
10. Kornyushin Yu.P., Mazin A.V. Sintez regulyatorov dlya sledyashchikh elektromekhanicheskikh sistem. Radiopromyshlennost. 2018. T. 28. № 4. S. 47−51. https://doi.org/10.21778/2413-9599-2018-28-4-47-51. (in Russian)
11. Kornyushin Yu.P., Melnikov D.V., Egupov N.D., Kornyushin P.Yu. Sintez dopolnitelnogo regulyatora dlya stabilizatsii uglovoi skorosti rotora parovoi turbiny. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki. 2015. № 5(62). S. 100−112. (in Russian)
12. Vanko V.I., Ermoshina O.V., Kuvyrkin G.N. Variatsionnoe ischislenie i optimalnoe upravlenie: Uchebnik dlya vuzov. Rek. MO. Pod red. V.S. Zarubina, A.P. Krishchenko. Izd. 2-e. M.: Izd-vo MGTU. 2001. 488 s. (Matematika v tekhnicheskom universitete). 475 s.  (in Russian)