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Robustness to Regular and Singular Perturbations

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

Abstract

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.

Keywords

Singular Perturbation Fast Dynamic Disturbance Attenuation Fast Subsystem Attenuation Level 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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