Technical communique: H∞ design with fractional-order PDµ controllers

  • Authors:
  • De-Jin Wang;Xue-Li Gao

  • Affiliations:
  • -;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

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Abstract

This article focuses on H"~ performance design for fractional-order systems with time-delay, using fractional-order proportional-derivative (PD^@m) controllers. First, the stabilizing parameters region in proportional-derivative plane of PD^@m controller, for a fixed derivative-order, is determined in terms of a graphical stability criterion applicable to fractional-order time-delay systems. Then, in the stabilizing region, the pairs of proportional and derivative gains of PD^@m controller are calculated for a range of frequencies, which satisfy the H"~-norm constraint of complementary sensitivity function and define the H"~ boundary curve. Finally, by changing the derivative-order of PD^@m controller, we observe the relationship between the H"~ curve and the derivative-order. Examples are followed to illustrate the design procedure.