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vol 64 / March, 2021
Article

DOI 10.17586/0021-3454-2018-61-1-22-31

UDC 512:517.962:62.50

SCALAR EVALUATION OF QUALITY OF VECTOR PROCESSES IN DISCRETE MULTICHANNEL SYSTEM WITH UNCERTAIN PARAMETERS

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. Scalar methods of evaluation of upper bound of vector processes are considered using discrete multichannel system with uncertain parameters as an example. The uncertainty of the parameters is such that it turns out to be correct to use the apparatus of the first-order parametric sensitivity functions. As a scalarizing function, such common norms as Euclidean and infinite are used. The advantages and disadvantages of the methods are demonstrated. 
Keywords: multichannel discrete system, separate channel, vector process, uncertain parameters, singular decomposition, scalar estimate, process quality

References:
  1. Voevodin V.V., Kuznetsov Yu.A. Matritsy i vychisleniya (Matrix and Calculations), Moscow, 1984, 320 p. (in Russ.)
  2. Horn R.A., Johnson C.R. Matrix analysis, Cambridge University Press, 2013, 643 p.
  3. Forsythe G.E., Malcolm M.A., Moler C.B. Computer methods for mathematical computations, Englewood Cliffs, Prentice Hall, 1977, 270 p.
  4. Ushakov A.V. Automation and Remote Control, 1992, no. 11, pp. 72–82. (in Russ.)
  5. Pavlov A.S., Ushakov A.V. Journal of Instrument Engineering, 2017, no. 4(60), pp. 302–310. (in Russ.)
  6. Rozenvasser E.N., Yusupov R.M. Chuvstvitel'nost' sistem upravleniya (Sensitivity of Control Systems), Moscow, 1981, 464 p. (in Russ.)
  7. Rozenvasser E.N., Yusupov R.M. Automation and Remote Control, 1969, no. 4, pp. 62–73. (in Russ.)
  8. Nikiforov V.O., Slita O.V., Ushakov A.V.Upravlenie v usloviyakh neopredelennosti: chuvstvitel'nost', adaptatsiya, robastnost' (Management under Uncertainty: Sensitivity, Adaptation, Robustness), St. Petersburg, 2002, 232 p. (in Russ.)