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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Fall 2009 Seminar Series
Presents
Separation Principle for a Class of Nonlinear Feedback
Systems Augmented with Observers
Rolf Johansson
Department of Automatic Control
LTH Lund University
Tuesday, November 3, 2009, 3:00 4:00pm ESB 2001
Abstract:
This presentation suggests conditions for presence of quadratic Lyapunov functions for nonlinear ob-
server 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.
About the Speaker:
Rolf Johansson received the Master-of-Science Degree in Technical Physics in 1977, the Bachelor-of-

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics