Stability Margins and Optimality

  • Dr R. Sepulchre
  • M. Janković
  • P. V. Kokotović
Part of the Communications and Control Engineering book series (CCE)


For stabilization of an unstable system, feedback is a necessity. With uncertainties in the operating environment, and in system components, feedback is needed to preserve stability and improve performance. However, feedback can also be dangerous. A tighter feedback loop, instead of achieving better performance, may cause instability. To guard against such dangers, the quantitative concepts of gain and phase stability margins were among the frequency domain tools of the classical Nyquist-Bode designs.


Stability Margin Phase Margin Gain Margin Optimal Stabilization Input Uncertainty 
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Copyright information

© Springer-Verlag London Limited 1997

Authors and Affiliations

  • Dr R. Sepulchre
    • 1
  • M. Janković
    • 2
  • P. V. Kokotović
    • 3
  1. 1.CESAMEUniversité Catholique de LouvainLouvain-la-NeuveBelgium
  2. 2.Scientific Research LaboratoriesFord Motor CompanyDearbornUSA
  3. 3.Department of Electrical and Computer EngineeringUniversity of CaliforniaSanta BarbaraUSA

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