ISSN 1991-2927
 

ACP № 4 (58) 2019

Stable Filtering Algorithmsfor Shipnavigation and Control Systems

Innokenty Vasilyevich Semushin, Ulyanovsk State University, Doctor of Engineering, Professor at the Chair 'Information Technology'; author of monographs, articles, textbooks, holds patents for inventions; is interested in filtering and control under uncertainty [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]I. Semushin,

Yulia Vladimirovna Tsyganova, Ulyanovsk State University, Candidate of Physics and Mathematics, Associate Professor at the Chair 'Information Technology' author of a monograph, articles, textbooks and tutorials; is interested in parametric identification, adaptive filtering, numerically efficient algorithms for stochastic systems [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]Y. Tsyganova,

Kliment Valeryevich Zakharov, Federal Research-and-Production Center 'Research-and-Production Association 'Mars', graduated from the Faculty of Mathematics and Information Technology of Ulyanovsk State University in the profession "Mathematical Support and Administration of Information Systems"; programmer; author of papers in the field of maneuver detection for surface vessel; is interested in statistic applications and models, digital simulation and modeling, navigation and control systems [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]K. Zakharov

Stable Filtering Algorithmsfor Shipnavigation and Control Systems 27_6.pdf

The article deals with integral filtering, stressing a computational aspect, and gives a brief survey of numerically stable algorithms based on the three mathematical ideas: factorization of positive definite (covariance and information) matrices, scalarization of vector measurements and orthogonalizaiton of block matrices. Their use suggests a new Square-Root Extended Kalman Filter algorithm as applied to non-linear task of sea-target movement analysis. The article also discusses the use of the actual algorithm for navigation and control of ships including collision avoidance.

Computational estimation methods, least-squares method, integral filtration, numerical stability, extended kalman filter, statistic applications and models, digital simulation and modeling.

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