ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)

vol 63 / January, 2020

DOI 10.17586/0021-3454-2019-62-12-1078-1086

UDC 62-50


A. I. Korshunov
Popov Navy Institute of Radioelectronics, Department of Radioelectronics, St. Petersburg; Professor

Abstract. The possibility to obtain a finite decay time of free process in a linearized model of a digital track-ing system using a linear discrete correction device is demonstrated. The decay time does not exceed the integer number of sampling periods equal to the order of the system continuous part, and therefore the maximum possible speed of the system is achieved. The conditions of free process damping for fi-nite time are derived: controllability and observability of the discrete model of the continuous part of the system. To comply with the conditions, the absence of common multipliers of the numerator and denom-inator of the transfer function of the continuous part is necessary. The method of choice of the simplest transfer function of the discrete correcting device considering requirements of system roughness is pro-posed. An example of a digital tracking system with a continuous part of the 3rd order is analyzed.
Keywords: digital tracking system, free process, finite decay time

  1. Jury E.J. Sampled-data control systems, NY, Wiley, London, Chapmen and Hall, 1958.
  2. Shipillo V.P. Operatorno-rekurrentnyy metod rascheta elektricheskikh tsepey i sistem (Operator-Recurrence Method for Calculating Electrical Circuits and Systems), Moscow, 1991, 311 р. (in Russ.)
  3. Anuchin A.S. Sistemy upravleniya elektroprivodov (Electric Drive Control Systems), Moscow, 2015, 373 р. (in Russ.)
  4. Besekerskiy V.A., Popov E.P. Teoriya sistem avtomaticheskogo regulirovaniya (The Theory of Auto-matic Control Systems), Moscow, 1972, 768 p. (in Russ.)
  5. Besekerskiy V.A. Tsifrovye avtomaticheskie sistemy (Digital Automatic Systems), 1976, 576 p. (in Russ.)
  6. Besekerskiy V. A., Efimov N. B., Ziatdinov S. I. et al. Mikroprotsessornyye sistemy avtomaticheskogo upravleniya (Microprocessor-Based Automatic Control Systems), Leningrad, 1988, 365 р. (in Russ.)
  7. Zadeh L., Desoer Ch. Linear system theory: the state space approach, 1963.
  8. Korshunov A.I. Journal of Instrument Engineering, 2016, no. 2(59), pp. 107–112. (in Russ.)
  9. Lankaster P. Theory of matrices. NY, London, 1969.
  10. Isermann R. Digital control sуstems, Berlin etc., 1981.
  11. Korshunov A.I. Osnovy teorii upravleniya. Osnovy teorii i sistem avtomaticheskogo upravleniya (Ba-ses of the Theory of Management. Bases of the Theory and Systems of Automatic Control), Petrodvorets, 2017, рр. 136. (in Russ.)