Analysis of Weight Change in HControl Design

  • Brian D. O. Anderson
  • Xavier Bombois
Part of the Trends in Mathematics book series (TM)


H∞. control design is generally performed iteratively. At each iteration, the weights constraining the desired closed loop transfer functions are adapted. The way in which the weights are adapted is generally purely heuristic. It is consequently very interesting to build some insights about the influence of a weight modification on the obtained (central) controller and, more importantly, on the obtained closed-loop transfer functions. In this paper, we analyze this influence in the case of a classical two-block problem under the assumption of “small” modifications in the weights. The concept small modificationmust be understood in the sense of small enough to allow first order approximation.


H∞ control design J-spectral factorization Weight selection Robust control design 


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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Brian D. O. Anderson
    • 1
  • Xavier Bombois
    • 2
  1. 1.Department of Systems Engineering Research School of Information Sciences and EngineeringAustralian National UniversityCanberraAustralia
  2. 2.Department of Applied PhysicsDelft University of TechnologyDelftThe Netherlands

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