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vol 64 / March, 2021
Article

DOI 10.17586/0021-3454-2017-60-4-302-310

UDC 512:517.962:62.50

ANALYSIS OF PROCESS QUALITY IN TIME-VARIANT DISCRETE MULTICHANNEL SYSTEMS

A. S. Pavlov
ITMO University, Saint Petersburg, 197101, Russian Federation; postgraduate


A. V. Ushakov
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor


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Abstract. Time-variant discrete multiple-input multiple-output systems with a regular discrete time intervals of separate channels are considered. A method of analysis of process quality in such systems is presented. Scalar evaluation of the vector processes in the systems are realized by singular value decomposition of special matrices. The method feasibility in evaluation of the system performance is demonstrated by majorant and minorant estimates of generally accepted indicators of quality. Algorithmic maintenance using Sylvester matrix equation with variable matrix components is constructed with the account of the discrete nature of the time-variant multiple-input multiple-output systems.
Keywords: multichannel systems, time-variant discrete systems, separate channels, regular discrete time intervals, singular value decomposition, scalar evaluation of processes quality

References:
  1. Chernous'ko F.L., Ovseevich A.P., Klepfish B.R., Trushchenkov V.L. Preprint no. 224, Moscow Institute of problems of mechanics of Academy of Sciences of the USSR, 1983. (in Russ.)
  2. Ushakov A.V. Automation and Remote Control, 1992, no. 11, pp. 72–82. (in Russ.)
  3. Ushakov A.V. Automation and Remote Control, 1989, no. 11, pp. 76–85. (in Russ.)
  4. Grigor'ev V.V., Korov'yakov A.N. Automation and Remote Control, 1988, no. 9, pp. 58–66. (in Russ.)
  5. Rozenvasser E.N. Automation and Remote Control, 1995, no. 4, pp. 88–105. (in Russ.)
  6. Dzhuri E.I., Premaratne K., Ekanayake M.M. Automation and Remote Control, 1999, no. 3, pp. 97–118. (in Russ.)
  7. Dzhuri E.I. Automation and Remote Control, 1990, no. 5, pp. 3–28. (in Russ.)
  8. Morozov M.V. Problemy upravleniya, 2013, no. 4, pp. 11–15. (in Russ.)
  9. Kuntsevich V.M. Proceedings of the Steklov Institute of Mathematics, 2006, no. 2(12), pp. 98–107. (in Russ.)
  10. Kuznetsov V.P., Salikov L.M. Automation and Remote Control, 1973, no. 9, pp. 176–179. (in Russ.)
  11. Bulekov V.P., Dikanova L.S. Automation and Remote Control, 1974, no. 11, pp. 57–64. (in Russ.)
  12. Besekerskiy V.A. Tsifrovye avtomaticheskie sistemy (Digital Automatic Systems), 1976, 576 p. (in Russ.)
  13. Dudarenko N.A., Nuyya O.S., Serzhantova M.V., Slita O.V., Ushakov A.V. Matematicheskie osnovy teorii sistem: lektsionnyy kurs i praktikum (Mathematical Bases of the Theory of Systems: Lecture Course and Practical Work), St. Petersburg, 2014, 292 p. (in Russ.)
  14. Solodovnikov V.V., ed., Teoriya avtomaticheskogo regulirovaniya. Kn. 3. Ch. 1. Tekhnicheskaya kibernetika. Teoriya nestatsionarnykh, nelineynykh i samonastraivayushchikhsya sistem avtomaticheskogo regulirovaniya (Theory of Automatic Control. Book 3. Part 1. Technical Cybernetics. The theory of the Non-stationary, Nonlinear and Self-adjusted Systems of Automatic Control), Moscow, 1969, 608 p. (in Russ.)
  15. Forsythe G.E., Malcolm M.A., Moler C.B. Computer methods for mathematical computations, Englewood Cliffs, Prentice Hall, 1977, 270 p.
  16. Voevodin V.V., Kuznetsov Yu.A. Matritsy i vychisleniya (Matrix and Calculations), Moscow, 1984, 320 p. (in Russ.)