Weight optimisation in H∞ loop-shaping

  • Authors:
  • Alexander Lanzon

  • Affiliations:
  • Research School of Information Sciences and Engineering, The Australian National University Canberra ACT 0200, Australia and National ICT Australia Ltd., Locked Bag 8001, Canberra ACT 2601, Austra ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

An optimisation problem is introduced which integrates a number of steps of the standard H"~ loop-shaping design procedure. This optimisation problem maximises the robust stability margin over allowable loop-shaping weights while ensuring that the resulting loop-shape lives in a pre-defined region that characterises the desired performance specifications. The resulting algorithm thus considerably facilitates the design of loop-shaping weights by giving the designer an indication of what is attainable and hence allows the designer to concentrate on more fundamental design issues than simply finding weights that achieve a desired loop-shape.