Encyclopedia of Systems and Control

2015 Edition
| Editors: John Baillieul, Tariq Samad

Nonlinear Adaptive Control

  • A. Astolfi
Reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5058-9_117

Abstract

We consider the control of nonlinear systems in which parameters are uncertain and may vary. For such systems the control must adapt to the parameter change to deliver closed-loop performance, such as asymptotic stability or tracking. A concise description of available methods and basic adaptive stabilization results, which can be used as building blocks for complex adaptive control problems, are discussed.

Keywords

Adaptive stabilization Linear parameterization Lyapunov function Nonlinear parameterization Output feedback 
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Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  • A. Astolfi
    • 1
    • 2
  1. 1.Department of Electrical and Electronic EngineeringImperial College LondonLondonUK
  2. 2.Dipartimento di Ingegneria Civile e Ingegneria InformaticaUniversità di Roma Tor VergataRomaItaly