U.R. Naimov – Post-graduate Student, Department of Radio Engineering, 

Tambov State Technical University

E-mail: umed87-88@mail.ru

S.N. Danilov – Dr.Sc.(Eng.), Associate Professor, Professor, Department of Radio Engineering,  Tambov State Technical University

E-mail: plabz@mail.ru

A.P. Pudovkin – Dr.Sc.(Eng.), Professor, Head of Department of Radio Engineering, 

Tambov State Technical University

E-mail: resbn@jesby.tstu.ru

An algorithm is constructed based on two models by methods of the theory of systems with a random structure and a simplified algorithm that give practically identical estimates. In general, the results of statistical modeling demonstrate the effectiveness of the proposed algorithm.

Systems with random hopping parameters can be used as models of real objects. Examples of the synthesis of control systems for objects whose models are described by systems with random discontinuous parameters are given in [1, 2] and in a number of other papers dealing with applications to production facilities, technical systems (control of aircraft), power systems, economic systems (inventory management), etc.

At present, in connection with the further development of such systems, there arises the need for a systematic analysis of three sections of the theory of systems with a random structure: analysis, estimation, optimization.

Thus, an algorithm constructed on the basis of two models by methods of the theory of systems with a random structure and a simplified algorithm yields practically the same estimates. This is due to the presence of models with different characteristics, taking into account the different types of changes in the estimated parameter and the almost exact follow-up of the signal behavior of either the first model or the second model. In general, the results of statistical modeling demonstrate the effectiveness of the proposed algorithm.

1. Kazakov I.E., Artem’ev V.M., Buxalev V.A. Analiz sistem sluchajnoj struktury’. M.: Fizmatlit. 1993. 272 s.
2. Gerasimov E.S., Dombrovskij V.V. Dinamicheskaya setevaya model’ upravleniya investiczionny’m portfelem pri sluchajnom skachkoobraznom izmenenii volatil’nostej finansovy’x aktivov // Avtomatika i telemexanika. 2003. № 7. S. 77−87.
3. Lipczer R.Sh., Shiryaev A.N. Statistika sluchajny’x proczessov (nelinejnaya fil’tracziya i smezhny’e voprosy’). M.: Nauka. 1974. 696 s.
4. Ivanov A.V. Oczenka vliyaniya tochnosti oczenivaniya kvazidal’nosti na porog obnaruzheniya priemny’x kanalov sputnikovy’x radionavigaczionny’x sistem // Radiotexnika. 2003. № 5. S. 66−69.
5. Buxalev V.A. Osnovy’ avtomatiki i teorii upravleniya. M.: VVIA. 2006. 406 s.
6. Pudovkin A.P., Danilov S.N., Panasyuk Yu.N. Perspektivny’e metody’ obrabotki informaczii v radiotexnicheskix sistemax. SPb.: E’kspertny’e resheniya. 2014. 256 s.
7. Danilov S.N., Pudovkin A.P., Shatovkin R.R. Algoritm prognoza koordinat vozdushny’x ob’‘ektov dlya obespecheniya funkczionirovaniya sistemy’ napravlennoj svyazi na osnove sistem so sluchajny’m izmeneniem struktury’ // Vestnik Tambovskogo Gosudarstvennogo Texnicheskogo Universiteta. 2009. № 3. T. 15. S. 530−539.
8. Panasyuk Yu.N., Danilov S.N., Pudovkin A.P., Knyazev I.V. Algoritm dal’nomernogo kanala s uchetom informaczii bortovy’x datchikov vozdushny’x sudov // Radiotexnika. 2013. M., № 9. S. 60−63.
9. Danilov S.N., Kol’tyukov N.A., Cherny’shova T.I., Petrov S.V. Prognozirovanie kvazigarmonicheskogo signala v prostranstve sostoyanij // Vestnik TGTU. 2015. № 3. S. 374−380.