A Geometric Approach to the Minimum Sensitivity Design Problem

  • Authors:
  • Erik I. Verriest;W. Steven Gray

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Control and Optimization
  • Year:
  • 1995

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Abstract

In this paper a Riemannian geometric framework is given for the minimum sensitivity design problem and its solution using a natural optimization criterion. The theory is then applied to the case of linear systems to generate a class of minimum sensitivity realizations related to the so-called balanced realizations. In particular, conditions are given which are applicable in the cases of fixed point and floating point implementations.