Analysis of logical-dynamic argument conversion processes in arithmetic devices of digital control systems

Authors

  • Mahmoud M. S. Al-Suod Tafila Technical University New Hauway str., 179, Tafila, Jordan, 66110, Jordan https://orcid.org/0000-0002-2025-9816
  • Oleksandr Ushkarenko Admiral Makarov National University of Shipbuilding Heroiv Ukrainy str., 9, Mykolaiv, Ukraine, 54025, Ukraine https://orcid.org/0000-0002-3159-330X
  • Lev Petrenko Admiral Makarov National University of Shipbuilding Heroiv Ukrainy str., 9, Mykolaiv, Ukraine, 54025, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2017.118167

Keywords:

logical-dynamic process, argument conversion, partial product, graph-analytical model

Abstract

The procedure for analysis of logical-dynamic processes of argument conversion in arithmetic devices of digital control systems was developed. Disadvantages and limitations of the formal methods used to describe processes in control systems were described and a graph-analytical method for describing the processes of argument conversion was proposed. Analysis of the logical-dynamic processes of conversion of data arguments in adders and multipliers used in digital control systems was performed. Sign-positional notation makes it possible to significantly increase speed of adders and multipliers in digital control systems. In this case, a necessity of formation of scientifically substantiated analytical rules for conversion of logical arguments and functional structures through which they are implemented appears. The analytical description of the processes of conversion of information arguments in digital control systems allows one to form their mathematical models with increased technological and informational qualities as well as solve optimization problems. The summation process in arithmetic devices is realized in accordance with the logic of argument conversion of the ternary notation. The axioms of the ternary notation can serve as a theoretical basis of the process of summation of arguments implemented in the binary notation format. The proposed approach enables evaluation of speed of the performed arithmetic operations with the use of various digital codes and opens up the possibility of improving the methods and algorithms of data processing in digital control systems

Author Biographies

Mahmoud M. S. Al-Suod, Tafila Technical University New Hauway str., 179, Tafila, Jordan, 66110

PhD, Assistant Professor

Department of Electrical Power Engineering and Mechatronics

Oleksandr Ushkarenko, Admiral Makarov National University of Shipbuilding Heroiv Ukrainy str., 9, Mykolaiv, Ukraine, 54025

PhD, Associate Professor

Department of theoretical electrotechnics and electronic systems

Lev Petrenko, Admiral Makarov National University of Shipbuilding Heroiv Ukrainy str., 9, Mykolaiv, Ukraine, 54025

Engineer

Department of theoretical electrotechnics and electronic systems

References

  1. Le-Huy, H. (2001). Modeling and simulation of electrical drives using MATLAB/Simulink and Power System Blockset. IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.37243). doi: 10.1109/iecon.2001.975530
  2. Liu, Y., Ling, X., Shi, Z., Lv, M., Fang, J., Zhang, L. (2011). A Survey on Particle Swarm Optimization Algorithms for Multimodal Function Optimization. Journal of Software, 6 (12). doi: 10.4304/jsw.6.12.2449-2455
  3. Zhang, Y., Wang, S., Ji, G. (2015). A Comprehensive Survey on Particle Swarm Optimization Algorithm and Its Applications. Mathematical Problems in Engineering, 2015, 1–38. doi: 10.1155/2015/931256
  4. Rajasekhar, K., Sowjanya, P., Umakiranmai, V., Harish ,R., Krishna, M. (2014). Design and Analysis of Comparator Using Different Logic Style of Full Adder. Int. Journal of Engineering Research and Applications, 4 (4), 389–393.
  5. Asaduzzaman, A., Lee, H. Y. (2014). GPU Computing to Improve Game Engine Performance. Journal of Engineering and Technological Sciences, 46 (2), 226–243. doi: 10.5614/j.eng.technol.sci.2014.46.2.8
  6. Igić, T. S., Veljković, N. Ž. (2011). Design of a System for Monitoring Reliability of Structures and Constructions in Civil Engineering. International Journal of Engineering Pedagogy (iJEP), 1 (2). doi: 10.3991/ijep.v1i2.1634
  7. Murthy, G. R., Senthilpari, C., Velrajkumar, P., Sze, L. T. (2013). A Novel Design of Multiplexer Based Full-Adder Cell for Power and Propagation Delay Optimizations. Journal of Engineering Science and Technology, 8 (6), 764–777.
  8. Aminof, B., Mogavero, F., Murano, A. (2011). Synthesis of hierarchical systems. Formal Aspects of Component Software, 42–60. doi: 10.1007/978-3-642-35743-5_4
  9. Wang, Y. (2015). Concept Algebra: A Denotational Mathematics for Formal Knowledge Representation and Cognitive Robot Learning. Journal of Advanced Mathematics and Applications, 4 (1), 61–86. doi: 10.1166/jama.2015.1074
  10. Ryabenkiy, V. M., Ushkarenko, A. O. (2011). Metod sintezu matematychnih modelei logiko-dynamichnyh protsesiv kontrolyu i keruvanya. Tehnichna elektrodynamika, 2 (1), 121–125.
  11. Ryabenkiy, V. M., Ushkarenko, A. O. (2014). Formalnoye opisanie elementov avtomatizirovannogo rabochego mesta operatora electroenergeticheskoi sistemy. Naukivyi vistnyk Khersonskiy derzhavniy morskiy akademiyi, 1 (1), 43–50.
  12. Mahmoud, M. A. S., Ushkarenko, O. O. (2016). Analytical Representation of Control Processes of Induction Motor and Synchronous Generator in Power Plants. Jordan Journal of Electrical Engineering, 2 (4), 278–288.

Downloads

Published

2017-12-12

How to Cite

Al-Suod, M. M. S., Ushkarenko, O., & Petrenko, L. (2017). Analysis of logical-dynamic argument conversion processes in arithmetic devices of digital control systems. Eastern-European Journal of Enterprise Technologies, 6(4 (90), 28–34. https://doi.org/10.15587/1729-4061.2017.118167

Issue

Section

Mathematics and Cybernetics - applied aspects