Mathematical modelling and experimental determination of parameters of the guidance system of weaponry complex

: pp. 73-78
Lviv Polytechnic National University
Hetman Petro Sahaidachnyi National Army Academy
Lviv Polytechnic National University
Lviv Polytechnic National University

The methodological approaches to the improvement of the control system of the vertical guidance mechanism of FM-21 multiple launch missile system to increasing its speed and positioning accuracy are confirmed. The use of the three-circuit positional structure of the control system of the guidance mechanism with a position control loop and a fuzzy corrector is justified. A mathematical model of the guiding package motion has been obtained and its reaction has been calculated. The parameters of the electrical and mechanical elements of a guidance system and their transient characteristics are experimentally obtained. With the use of the approximation procedure, the analytical dependencies of these transient characteristics and corresponding transient functions of various orders of the elements of an electric drive power circuit are obtained.

  1. N. Prismotrov, Y. Ponomarev, and E. Pirovskikh, “Choosing the optimal gear ratio for maximum fast life”, in Proc. Vserossiyskaya Nauchno-Prakticheskaya Konferetsiya (NPK-2013): Obshchestvo, Nauka, Innovatsii, pp. 1146-1147, Vyatka, Russia: Vyatka State University, 2013. (Russian)
  2. L. Blokhin, N. Sitnichenko, and V. Kukhar, “New problems and algorithms for synthesis of optimal structures of observers of the original coordinates of moving objects”, Problems of Informatization and Management, vol. 40, no.4, pp.19-23, 2012.
  3. O. Shyko, “Simulation of joint motion of a rocket projectile and a mobile launcher MLRS”, Systems of Arms and Military Equipment, vol. 38, no. 2, pp. 44 – 60, Kharkiv, Ukraine: Ivan Kozhedub Kharkiv National Air Force University, 2014.
  4. V. Kuntsevich, Uncertainty management: Guaranteed results in management and identification tasks. Kiyv, Ukraine: Naukova Dumka, p. 264, 2006.
  5. L. Loytsianskiy and A. Lurie, Course of Theoretical Mechanics. Moscow, USSR: Nauka, 1982. (Russian)
  6. V.Biderman, Theory of mechanical oscillations. Moscow, USSR: Vysshaya shkola, 1980. (Russian)
  7. A. Rutkovskiy, L. Matveyeva, and G. Kozachek, “Optimization of coefficients of the transfer function obtained by the modified Sima method on an experimentally filmed transient response”, Scientific Herald Voronezh State Technical University, no. 3, 2010. (Russian)
  8. A. Alikov, M. Kovaleva, A. Rutkovskiy, and N.Tedeeva, “Automation of optimal identification of dynamic element of transfer functions in complex technical objects based on acceleration curves”, Herald of Dagestan State Technical Univesity: Technical Sciences, no. 2, 2017. DOI:
  9.  A.Smilgevicius and R.Rinkeviciene, “Simulation of transients in the mechanical part of electromechanical system”, in Proc. 10th International Conference MMA2005&CMAM2, pp.155–162, Trakai, Lithuania, 2005.
  10. S. Bolognani, A. Venturato and M. Zigliotto, “Theoretical and experimental comparison of speed controllers for elastic two-mass-systems”, in Proc.  IEEE 31st Annual Power Electronics Specialists Conference, PESC2000, 18- 23 June 2000, vol. 3, pp. 1087 – 1092, 2000.
  11. M. Feiler, C. Westermaier and D. Schroder, “Adaptive speed control of a twomass system”, in Proc. IEEE Conference on Control Applications CCA2003, 23-25 June 2003, vol. 2, pp. 1112 – 1117, 2003.
  12. M.Gernet and V. Ratobylskiy, Determination of moments of inertia. Moscow, USSR: Mashynostroyeniye, 1969. (Russian)