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Separation Principle for a Class of Nonlinear Feedback Systems Augmented with Observers

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Author

Summary, in English

The paper suggests conditions for presence of quadratic Lyapunov functions for nonlinear observer based feedback systems with an input nonlinearity in the feedback path. Provided that the system using state feedback satisfies the circle criterion (i.e., when all states can be measured), we show that stability of the extended system with output feedback control from a (full state) Luenberger-type observer may be concluded using the circle criterion. As another result, we state a separation principle for a class of feedback systems with an input nonlinearity.When only local stability results can be stated, our method provides an estimate of the region of attraction.

Publishing year

2008

Language

English

Pages

6196-6201

Publication/Series

Proc. 17th IFAC2008 World Congress

Document type

Conference paper

Topic

  • Control Engineering

Conference name

17th IFAC World Congress, 2008

Conference date

2008-07-06 - 2008-07-11

Conference place

Seoul, Korea, Democratic People's Republic of

Status

Published

Project

  • Active Control 2007-2009
  • Stable Oscillations in Nonlinear Systems 2006-2008

Research group

  • LCCC