ABOUT THE ANALYSIS OF THE PULSE-WIDTSYSTEM WITH FEEDBACK


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Abstract

In the article research results of the pulse-width system (PWS) captured by a negative feedback circuit have been depicted. Based on an asymptotic method of order decrease in the linear part of system, we have offered a technique for decreasing the PWS to an equivalent nonlinear pulse-amplitude system for which known methods of research are applied.

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Pulse-width systems (PWS) find application in automatic control devices, as well as in amplifiers of capacity of “D” class with an intermediate pulse-width modulation, captured by a negative feedback for the reduction of nonlinear distortions. Feedback presence in PWSs is inevitably connected with the problem of stability maintenance. The solution of this problem, in a comprehensible with practical application way for the PWSs generally does not exist. The possibilities of private decisions have been considered in [1; 2]. The aim of the present work consists in the search for new methods of the PWS stability analysis, applicable in practical applications. Methods of pulse-width systems analysis. An analysis of the pulse systems is made, as a rule, basing on the theory of trellised functions and discrete transformation of Laplasa [1]. The theory of pulse-amplitude systems has now developed in enough detail: for a linear path and for systems containing nonlinear inertialess elements [1; 2]. Unlike the АPS, the PWS is much more difficult to analyze, therefore it is investigated using data equivalent to the nonlinear АPS.
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About the authors

A. M. Mikheenko

Siberian State University of Telecommunication and Information Sciences

Russia, Novosibirsk

S. S. Abramov

Siberian State University of Telecommunication and Information Sciences

Russia, Novosibirsk

I. I. Pavlov

Siberian State University of Telecommunication and Information Sciences

Russia, Novosibirsk

References

  1. Tsipkin J. Z. The theory of linear pulse systems. М. : Fizmatgiz, 1963.
  2. Tsipkin J. Z., Popkov J. S. The theory of nonlinear pulse systems. From-in Science. М., 1973.
  3. Polov K. P. Amplifier Stability conditions in a mode “D” with a feedback // Radio engineering. 1971. № 6.
  4. Polov K. P. To research of stability of the amplifier in a mode “D” with a feedback // Radio engineering. 1974. № 1.
  5. Itshoki J. S. The approached method of the analysis of transients in difficult linear chains // The Soviet radio. 1969.

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Copyright (c) 2010 Mikheenko A.M., Abramov S.S., Pavlov I.I.

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