Synthesis of cascaded multiple-loop feedback systems with large plant parameter ignorance

  • Authors:

  • Isaac Horowitz;Marcel Sidi

  • Affiliations:

  • Department of Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel and Department of Electrical Engineering University of Colorado, Boulder, Colorado USA;Israel Aircraft Industry, MBT, Yahud, Israel

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1973

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Abstract

In a cascaded plant with n sensing points, n independent feedback loops are available to achieve quantitative sensitivity specifications. The optimum design is defined as that which achieves this with minimum net effect, of the n sensor noise sources, at the plant input. A design procedure is presented wherein one works backwards step by step from the system output, designing each loop function L"i almost as if the remaining loops (L"i"+"j, j0) are perfect. Even in large plant ignorance problems, only the outer loop L"i may be large over some frequency range. In general |L"i|"m"a"x 1 and |L"i"+"1|"m"a"x @w"c"," "i so the primary price paid is in the steadily increasing ''bandwidth'' of each loop. The design procedure is highly transparent with strong universalistic features, permitting the use of universal design curves.