Robust Control pp 170-178 | Cite as

Stability and performance robustness of ℓ1 systems with structured norm-bounded uncertainty

  • M. Khammash
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 183)


An overview of recent advances in the robustness techniques in the ℓ1 setting are discussed. In particular, results on the stability and performance robustness of multivariable systems in the presence of norm-bounded structured perturbations are presented. For robustness analysis, the computation of nonconservative conditions will be highlighted as one of the most attractive features of this approach. In addition, a useful iteration technique for robustness synthesis is presented. Finally, extension of the robustness techniques to the time-varying case is outlined and then used to provide necessary and sufficient conditions for the robustness of sampled-data systems in the presence of structured uncertainty.


Spectral Radius Nonnegative Matrix Robust Performance Structure Uncertainty Nonnegative Matrice 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • M. Khammash
    • 1
  1. 1.Iowa State UniversityAmes

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