MATHEMATICAL MODELS OF PROCESSES AND SYSTEMS OF TECHNICAL OPERATION FOR ONBOARD COMPLEXES AND FUNCTIONAL SYSTEMS OF AVIONICS

Modern aircraft are equipped with complicated systems and complexes of avionics. Aircraft and its avionics technical operation process is observed as a process with changing of operation states. Mathematical models of avionics processes and systems of technical operation are represented as Markov chains, Markov and semi-Markov processes. The purpose is to develop the graph-models of avionics technical operation processes, describing their work in flight, as well as during maintenance on the ground in the various systems of technical operation. The graph-models of processes and systems of on-board complexes and functional avionics systems in flight are proposed. They are based on the state tables. The models are specified for the various technical operation systems: the system with control of the reliability level, the system with parameters control and the system with resource control. The events, which cause the avionics complexes and functional systems change their technical state, are failures and faults of built-in test equipment. Avionics system of technical operation with reliability level control is applicable for objects with constant or slowly varying in time failure rate. Avionics system of technical operation with resource control is mainly used for objects with increasing over time failure rate. Avionics system of technical operation with parameters control is used for objects with increasing over time failure rate and with generalized parameters, which can provide forecasting and assign the borders of before-fail technical states. The proposed formal graphical approach avionics complexes and systems models designing is the basis for models and complex systems and facilities construction, both for a single aircraft and for an airline aircraft fleet, or even for the entire aircraft fleet of some specific type. The ultimate graph-models for avionics in various systems of technical operation permit the beginning of analytical models designing.

mathematical models, processes and systems, technical operation, avionics, aircraft, on-board complexes, functional systems

1. Kuznetsov S.V. Analiz struktury sovremennyh kompleksov i sistem avioniki vozdushnyh sudov grazhdanskoj aviacii [Analysis of the structure of modern avionics systems and complexes of civil aircrafts]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 1998, no. 3, pp. 5–26. (in Russian)

2. Kuznetsov S.V., Zyl V.P. Sostoyaniye i prognoz osnashcheniya avionikoy parka magistral'nykh passazhirskikh samoletov rossiyskikh aviakompaniy [Status and forecast of avionics equipment for the park of passenger aircrafts of Russian airlines]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 2002, no. 48, pp. 7–9. (in Russian)

3. Kuznetsov S.V. Elektronnyye pribornyye sistemy [Electronic Instrument Systems]. Moscow, MSTUCA, 2015, 90 p.

4. Fedosov Ye.A., Kos'yanchuk V.V., Sel'vesyuk N.I. Integrirovannaya modul'naya avionika [Integrated Modular Avionics]. Radioelektronnyye tekhnologii [Radio-electronic technologies], 2015, no. 1, pp. 66–71. (in Russian)

5. Kulabuhov V.S. Federativno-integrirovannaya raspredelennaya modul'naya avionika [Federated distributed integrated modular avionics]. Aviakosmicheskoye priborostroyeniye [Aerospace Instrument construction], 2015, no. 12, pp. 11–31. (in Russian)

6. Kuznetsov S.V., Zyl' V.P., Shishkin V.V. Ob"yektnyye modeli avioniki na osnove nechetkikh mnozhestv [Object avionics models based on fuzzy sets]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 2003, no. 71, pp. 67–73. (in Russian)

7. Kuznetsov S.V., Zyl' V.P., Peregudov G.Ye., Shishkin V.V. Ob"yektnyye modeli avioniki na osnove nechetkikh sootvetstviy [Object avionics models based on fuzzy matches]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 2009, no. 148, pp. 25–31. (in Russian)

8. Kuznetsov S.V. Opredeleniye analiticheskikh funktsiy intensivnosti otkazov i veroyatnosti bezotkaznoy raboty pilotazhno-navigatsionnogo oborudovaniya po statisticheskim dannym [Determination of analytic functions, failure rates and the probability of failure of flight and navigation equipment on statistical data]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 2012, no. 185, pp. 19–26. (in Russian)

9. Kuznetsov S.V. Matematicheskiye modeli protsessov i sistem tekhnicheskoy ekspluatatsii avioniki kak markovskiye tsepi [Mathematical models of processes and systems of avionic technical operation as Markov chains]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 2014, no. 201, pp. 56–64. (in Russian)

10. Kuznetsov S.V. Matematicheskiye modeli protsessov i sistem tekhnicheskoy ekspluatatsii avioniki kak markovskiye i polumarkovskiye protsessy [Mathematical models of processes and systems of avionic technical operation as Markov and Semimarkov processes]. Nauchnyj Vestnik MGTU GA [Scientific Bulletin of the MSTUCA], 2015, no. 213, pp. 28–33. (in Russian)