Robustness to Regular and Singular Perturbations

  • Tamer Başar
  • Pierre Bernhard
Part of the Modern Birkhäuser Classics book series (MBC)


The objective of this chapter is to present a framework wherein robustness properties of H controllers obtained in Chapters 4 and 5 can be studied in the presence of small perturbations on the original system dynamics — such as small nonlinearities (for linear systems), unmodeled fast dynamics, and unmodeled weak coupling between subsystems of a large-scale system. This general framework will first be introduced in a context where the controller has access to perfect-state measurements (as in Chapter 4), and then extended to the imperfect-state measurements case only for linear systems. This will allow us to state precise robustness results for H controllers.


Singular Perturbation Fast Dynamic Disturbance Attenuation Fast Subsystem Attenuation Level 


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Copyright information

© Springer Science+Business Media New York 2008

Authors and Affiliations

  • Tamer Başar
    • 1
  • Pierre Bernhard
    • 2
  1. 1.Coordinated Science LaboratoryUniversity of IllinoisUrbanaUSA
  2. 2.Unité de Recherche Sophia-AntipolisINRIAValbonne CedexFrance

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