Weighted Approximation Techniques and Their Applications in Controller Reduction

  • Kemin Zhou
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 66)


This paper summarizes some model/controller reduction results obtained recently by the author. The results presented in this paper include (a) a new relative error model reduction algorithm together with some explicit error bounds; (b) a complete solution to the frequency weighted Hankel norm approximation with anti-stable weighting; and (c) the controller order reduction with stability and performance constraints.

Key words

Frequency Weighting L Norm Approximation Hankel Norm Approximation Convex Programming Controller Order Reduction 


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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Kemin Zhou
    • 1
  1. 1.Department of Electrical and Computer EngineeringLouisiana State UniversityBaton RougeUSA

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