MATHEMATICAL MODEL OF ATTITUDE AND HEADING REFERENCE SYSTEM WITH BIAXIAL HORIZONTAL PLATFORM

Abstract

Purpose: Operation of attitude and heading reference systems in conditions of autonomy and high accuracy requires usage of gimballed platforms. The goal of the paper is detailed research of such systems kinematics and control moments. As result the full mathematical model of the precision attitude and heading reference system with the biaxial horizontal platform was derived. Methods: Obtaining of the mathematical model is based on the theory of gyros in general and corrected gyro compasses and theory of dynamically tuned gyros in particular. The basic laws of theoretical mechanics including concepts of Euler angles and directional cosines were taken into consideration. Results: The full mathematical model of the attitude and heading reference system is developed. The mathematical models of the vertical gyro and directional gyro as components of the researched system are given. The simulation results based on the developed models are presented. Conclusions: The mathematical model of the gimballed attitude and heading reference system including the vertical gyro and directional gyro is derived. The detailed expressions for control (correction) moments are obtained. The full analysis of the researched system kinematics was carried out. The obtained results can also be useful for design of inertial navigation systems of the wide class

Authors and Affiliations

Olha Sushchenko

Keywords

Related Articles

DETERMINATION OF CRITICAL VALUE OF pH OF GEL FORMATION IN SILICATE-ALKALI MIXTURES OF VARIOUS COMPOSITION

Purpose: The aim of this study is the research of a possibility of a direct and reverse titration usage for the critical pH determination. pH value change of the silicate-alkali mixture was analyzed while addition of alk...

STOCHASTIC CALCULATON OF THE WALL OF STEEL VERTICAL SILOS

In the article the practical questions of probabilistic calculation of sheets of the case of vertical steel tanks for storage of grain are solved. The search for the reliability function is based on the general author's...

MULTIPLICATIVE EVALUATION OF INFLUENCE OF THE ORGANIZATIONAL RISK FACTORS ON FLIGHT SAFETY IN AIR TRAFFIC CONTROL

Purpose: to systematize the risk factors of organizational nature in Air Traffic Control system and to evaluate their complex influence on flight safety. Methods: the hazard degree of organizational fa...

ANALYSIS OF APPLICATION OF ENTERPRISE ARCHITECTURE FOR MODERNISATION OF AIR TRAFFIC MANAGEMENT SYSTEMS

Purpose: Due to growing demand for air transportation and a shortage of current capacities of air traffic management systems to accommodate future air traffic, there is a need to transform current air traffic management...

MODERN TENDENCIES OF CLIMATE, WATER RESOURCES AND ECOSYSTEMS CHANGES IN THE MIDDLE-LOWER PART OF SOUTHERN BUG RIVER, UKRAINE

Purpose: Analyze the features of climate and water regime change in the northwestern part of the Southern Bug River basin in second half of the 20th century and at the beginning of the XXI century in the region of the So...

Download PDF file
  • EP ID EP459709
  • DOI 10.18372/2306-1472.70.11423
  • Views 112
  • Downloads 0

How To Cite

Olha Sushchenko (2017). MATHEMATICAL MODEL OF ATTITUDE AND HEADING REFERENCE SYSTEM WITH BIAXIAL HORIZONTAL PLATFORM. Вісник Національного Авіаційного Університету, 70(1), 55-65. https://europub.co.uk/articles/-A-459709