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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
Spring 2009 Seminar Series
Presents
Nonlinear Output Regulation: an Overview of Past and
Latest Developments
Lorenzo Marconi
University of Bologna
Thursday, June 4, 2009 2:30 - 3:30 PM ESB 2001
Abstract: In the first part of the talk a reasoned overview of recent developments in the field of output regula-
tion for nonlinear systems is presented. The attempt is to frame a number of apparently disjoined approaches
proposed so-far on this topic into a common framework by introducing the so-called "Asymptotic Internal Model
Property" as the crucial property to be achieved in the regulator design. Following this vision, the strong rela-
tionship existing between "immersion assumption" and "observability assumption" of the steady state generator
system is stressed. This will lead to introduce a theory of output regulation without immersion and of practical
output regulation uniform in the local gain of the stabilizer and in the dimension of the internal model. Meaning-
ful engineering examples will be presented. In the second part of the talk the theory will be framed into a more
general context which goes beyond output regulation. In particular the bunch of the proposed theory is shown
to be effective for general problems involving compensation of junk not-vanishing uncertain terms in dynamical
interconnections. The concept of "internal model of zero dynamics" will be presented and shown to be effective

  

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

 

Collections: Mathematics