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      Chapter

      Systems with Time Delays
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      Chapter

      Systems with Time Delays

      DOI link for Systems with Time Delays

      Systems with Time Delays book

      Systems with Time Delays

      DOI link for Systems with Time Delays

      Systems with Time Delays book

      ByHitay Özbay
      BookIntroduction to Feedback Control Theory

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      Edition 1st Edition
      First Published 2000
      Imprint CRC Press
      Pages 20
      eBook ISBN 9780203750117
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      ABSTRACT

      Mathematical models of systems with time delays were introduced in Section 2.2.2. If there is a time delay in a linear system, then its transfer function includes a term e −hs where h > 0 is the delay time. For this class of systems, transfer functions cannot be written as ratios of two polynomials of s. The discussion on Routh-Hurwitz and Kharitanov stability tests, and root locus techniques do not directly extend to systems with time delays. In order to be able to apply these methods, the delay element e −hs must be approximated by a rational function of s. For this purpose, Padé approximations of delay systems will be examined in this chapter.

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