MATHEMATICAL MODEL OF TRIAXIAL MULTIMODE ATTITUDE AND HEADING REFERENCE SYSTEM

Abstract

Purpose: The paper deals with the mathematical description of the gimballed attitude and heading reference systems, which can be applied in design of strategic precision navigation systems. The main goal is to created mathematical description taking into consideration the necessity to use different navigations operating modes of this class of navigation systems. To provide the high accuracy the indirect control is used when the position of the gimballed platform is controlled by signals of gyroscopic devices, which are corrected using accelerometer’s signals. Methods: To solve the given problem the methods of the classical theoretical mechanics, gyro theory, and inertial navigation are used. Results: The full mathematical model of the gimballed attitude and heading reference system is derived including descriptions of different operating modes. The mathematical models of the system Expressions for control and correction moments in the different modes are represented. The simulation results are given. Conclusions: The represented results prove efficiency of the proposed models. Developed mathematical models can be useful for design of navigation systems of the wide class of moving vehicles.

Authors and Affiliations

Olha Sushchenko

Keywords

Related Articles

JURISDICTION OVER CRIMES COMMITTED ON BOARD AIRCRAFT IN FLIGHT UNDER THE TOKYO CONVENTION 1963

Purpose: the main aim of this paper is to clarify several issues of conflicting jurisdiction over crimes committed on board aircraft in flight. The study will examine the way in which the Tokyo Convention attempts to pro...

THE INFLUENCE OF BIOTHIN ON GROWTH AND DEVELOPMENT OF BACTERIA LACTOBACILLUS PLANTARUM

Objective : the aim of the study was to study the effect of biot in on the vital activity of lactic acid bacteria. Methods: a study of the effect of vitamin H on lactic acid bacteria Lactobacillus planta...

THE USE OF DIFFERENTIAL TRANSFORMATIONS FOR SOLVING NON-LINEAR BOUNDARY VALUE PROBLEMS

Purpose: The aim of our study is comparison of method applications based on differential transformations for solving boundary value problems which are described by non-linear ordinary differential equations. Methods: Thi...

CONCEPTUAL DIMENSION OF SYSTEMATIC APPROACH TO THE ORGANIZATION MANAGEMENT

Purpose: The systematic representation of the individual and the organization at the conceptual level is a powerful tool to understand and design an organization as a whole. The systematic approach called...

BUSINESS SIMULATIONS AS A COMPON ENT OF AN INNOVATIVE MODEL OF MODERN ECONOMIC EDUCATION

Purpose: In the article there has substantiated the au thor’s research viewpoint on understanding the essence of the notions of «innovation», «innovative model of development», specified the role and impo...

Download PDF file
  • EP ID EP459680
  • DOI 10.18372/2306-1472.71.11745
  • Views 135
  • Downloads 0

How To Cite

Olha Sushchenko (2017). MATHEMATICAL MODEL OF TRIAXIAL MULTIMODE ATTITUDE AND HEADING REFERENCE SYSTEM. Вісник Національного Авіаційного Університету, 71(2), 42-50. https://europub.co.uk/articles/-A-459680