Constructing a multipurpose system of cruise missiles within the conditions of multifactorial uncertainty
Authors: Balyk V.M., Malenkov A.A., Petrovskiy V.S., Stanchenko A.S.
Published in issue: #10(70)/2017
DOI: 10.18698/2308-6033-2017-10-1692
Category: Aviation and Rocket-Space Engineering | Chapter: Design, construction and production of aircraft
The article considers the problem of constructing a system of cruise missiles resistant to the change of the external target environment. We have formulated a criterion of stability that allows selecting such design decisions which increase the feasibility of accomplishing the target by the system. Our work defines the statistical functional interconnection between the optimality criterion and the design decision, which provides an opportunity for finding a reasonable stable design decision. We introduce a criterion of the design decision immunity to the multifactorial uncertainty that is dependent on the impact of the uncontrolled factors related to the target. A large variety of such factors, different nature of their origin and the incompleteness of knowledge of their laws dictate the need for considering the multifactorial uncertainty from more common positions connected with the notion of the design decision immunity to the perturbing factors. As the criterion of immunity we examine a regularity criterion written in relation to the Lipschitz constant characterizing the degree of the criterion scores immunity to the variations of the multifactorial uncertainty.
References
[1] Ilyukhin I.M., Kostylev N.M. Inzhenernyy zhurnal: nauka i innovatsii - Engineering journal: science and innovation, 2013, iss. 9. Available at: http://engjournal.ru/catalog/pribor/optica/919.html (accessed August 4, 2017).
[2] Kureychik V.M. Izvestiya Rossiiskoy Akademii nauk. Teoriya i sistemy upravleniya - Journal of Computer and Systems Sciences International, 1999, no. 1, pp. 144-160.
[3] Ivakhnenko A.G. Induktivnyy metod samoorganizatsii modeley slozhnykh system [Induction method of complicated systems models self-ogranization]. Kyiv, Naukova dumka Publ., 1981, 296 p.
[4] Abgaryan K.A., Rapoport I.M. Dinamika raket [Missile dynamics]. Moscow, Mashinostroenie Publ., 1969, 378 p.
[5] Tikhonov A.N., Arsenin V.Ya. Metody resheniya nekorrektnykh zadach [Methods for solving ill-conditioned problems]. Moscow, Nauka Publ., 1979, 285 p.
[6] Samarskiy A.A., Vabishevich P.N. Chislennye metody resheniya obratnykh zadach matematicheskoy fiziki [Numerical computations of inverse problems in mathematical physics]. Moscow, URRS Publ., 2007, 478 p.
[7] Balyk V.M., Kalutskiy N.S. Vestnik Moskovskogo aviatsionnogo instituta - Bulletin of Moscow Aviation Institute, 2008, vol.15, no. 1, pp. 29-36.
[8] Balyk V.M., Vedenkov K.V., Kulakova R.D. Vestnik Moskovskogo aviatsionnogo instituta - Bulletin of Moscow Aviation Institute, 2014, vol. 21, no. 4, pp. 49-58.
[9] Piyavskiy S.A., Brusov V.S., Khvilon E.A. Optimizatsiya parametrov mnogotselevykh letatelnykh apparatov [Optimizing the parameters of multipurpose aircraft]. Moscow, Mashinostroenie Publ., 1974, 168 p.
[10] Balyk V.M. Statisticheskiy sintez proektnykh resheniy pri razrabotke slozhnykh system [Statistic synthesis of design decisions in complicated systems development]. Moscow, MAI Publ., 2011, 280 p.