Analysis and algebraicsymbolic determination of conditions forsafe motion of a vessel in a nonstationary environment
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2018, Vol 1, Issue 3
Abstract
<p class="111">We have proposed a method for the algebraic formalization of predicativedetermining of zones for safe and dangerous areas of navigation for the criterion "Computational stability – continuity".</p><p class="111">It is not possible tobuild effective mathematical models for all cases of direct application of integrated and differential equations that describe statistical correlation functions of the space-time continuum. At the same time, there are always significant difficulties in operative processing of large volumes of information. Numerical results determine known long-time delays in the work of computers in the systems of navigation and operational control over the motion of a vessel.</p><p class="111">We have analyzed and obtainedconditions for the effective technology of structuring a safemaneuvering trajectorybased on typical sequences of formalized symbolic elementary zones. Briefpredicative fragments describe effective steps to maneuver in a safe area of navigation. Analytical description of the structural processes that transformthe input informational situational parameters into controlled effective parts and integrated modelsmakes it possible to increase technological speed of operational decision-making. Situational symbolic control over the qualities of adequate safe motion of a vessel is executedunder specific non-stationary changes in theinfluence from a dynamic external environment.</p><p class="111">Actual effects of the influencefrom external factors in a non-stationary environment that surrounds the hull of a moving vessel were symbolically formulated. In this case, typical estimates of degrees in thenon-stationary environment are algebraically collapsed into integrated safety criteria. We have established the target effect of modeling in terms of computational dynamics of processes for operational rapid control over motion of the vessel. In this case,vector regularized parameters ofevents are continuously entered in real time as corrections for initial data. We have solved the problem on predictive modeling of maneuvering variants for the criteria that guarantee current safety of motion along a planned strategic route.</p><p class="111">To effectively solve the taskon stable safety of motion, numerical methods to solve integral-differential nonlinear dynamic systems are typically employed. However, they are effective only for the substantiation of strategic routes. Delays in time at these stages are significant and accepted.</p><p class="111">It is proposed to manage and control algorithmic processes in real time by using alternative methods of symbolic algebra. The modelsproposed would make it possibleto find variants that are guaranteed to be adaptive to a specific current situation based on the transversal trajectory of a vessel motion.</p><p class="111">It is proven that in the areas where there may occur situations of conflict and risk, local rules that guarantee a safe motion trajectory areimplemented by connecting the boundary conditions for safe navigation area taking into account the presence of adjacent zones with threats, perturbations, obstacles.</p>
Authors and Affiliations
Illya Tykhonov, Georgy Baranov, Volodymyr Doronin, Andrii Nosovskyi
Keywords
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- DOI 10.15587/1729-4061.2018.123948
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