APPROACHES TO FORMALIZATION OF MOTION DYNAMICS OF ARTIFICIAL FORCE FIELD METERS
DOI:
https://doi.org/10.18372/2306-1472.67.10427Keywords:
aircraft, dynamic models, force field potential, gradient, mathematical pendulumAbstract
Purpose: The aim of our study is to analyze virtual measurers with different functioning principles. In our case they are: a mathematical pendulum without quality factor, with quality factor and meter of force field gradient. Methods: This article reviews two main approaches for gradient or artificial force field measuring: gradient method and mathematical pendulum. Results: The results of our experiment proved that usage of the mathematical pendulum with quality factor is more effective than without it. We classified potential field methods concerning field types. Present approaches possess a number of shortcomings. Discussion: The paper considers modern approaches of solving conflict situations in airspace (traffic conflict). We carried out analysis of virtual indicators formalization with different functioning principles (mathematical pendulum, meter of force field gradient).
References
Chepizhenko V.I. Analysis of Field Methods Applications for Navigational and Conflicting Tasks Resolution (Cybernetics and Computer Technology) 2012, N 167, p. 15–24. (In Russian).
Howard A., Mataric M.J., Sukhatme G.S. Mobile sensor network deployment using potential fields.
Goodrich M.A. Potential Fields Tutorial. Available at: http:,borg.cc.gatech.edu,ipr,files,goodrich_ potential_fields.pdf.
Safadi H. Local Path Planning Using Virtual Potential Field , McGill University School of Computer Science, 2007. Available at: http:,www.cs.mcgill.ca,~ hsafad,robotics,index.html.
Besekersky V.A. The theory of automatic control systems. Moscow: Nauka, 2003, 752 p. (In Russian).
Chepizhenko V.I. Synthesis of Artificial Gravitational Fields Virtual Meters for the Polyconflicts Resolution in the Aeronavigation environment. Proceedings of the National Aviation University. 2012, N 2, pp. 60–69. (In Russian)
Chepizhenko V.I. Energy-potential method guaranteed conflict resolution watered collision of dynamic objects. (Cybernetics and Computer Science. 2012, N 168, pp. 54-61. (In Russian).
Swarovski S.T. Approximation of membership functions of linguistic variables. S.T. Swarovski , Mathematical problems of data analysis. Novosibirsk: STSSO USSR. 1980, pp 127-131 (In Russian).
Korikov A.M. Fundamentals of Control Theory. Tomsk: Publishing house of the YTL, 2002, 392 p. (In Russian)
Pavlov V.V. Invariance and autonomy of nonlinear control systems. Kiev: Naukova Dumka, 1971, 272 p. (In Russian).
Jardin M.R. Air Traffic Conflict Models. AIAA 4th Aviation Technology Integration and Operations (AITO) Forum, 20-22 September 2004, Chicago, Illinois, p. 1–13.
Kharchenko V.P. Functional "virtual" - the concept of the future CNS , ATM systems. Bulletin KIUCA. – 2004, N 2, p. 19-23. (In Ukrainian).