A new H∞ filter design for linear time delaysystems

  • Authors:
  • E. Fridman;U. Shaked

  • Affiliations:
  • Dept. of Electr. Eng., Tel Aviv Univ.;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2001

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Abstract

A new delay-dependent H∞ filtering design is proposed for linear, continuous, time-invariant systems with time delay. The obtained filter is of the Luenberger observer type. The design guarantees that the H∞-norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level. The filter is based on the application of a newly derived version of the bounded real lemma for time-delayed systems. This novel approach is compared, via an example, with another solution that appears in the literature