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UID:0-521@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20150513T163000

DTEND;TZID=Asia/Jerusalem:20150513T173000

DTSTAMP:20230603T193107Z

URL:https://aerospace.technion.ac.il/events/a-new-concept-reaching-the-bes
 t-achievable-control-by-decomposing-the-sensitivity-function-part-3/

SUMMARY:A New Concept Reaching the Best Achievable Control by Decomposing t
 he Sensitivity Function - Part 3 - Summary
DESCRIPTION:Lecturer:Prof. L. Keviczky\n Faculty:\n Institute:Department of
  Automation and Applied Informatics\, Budapest University of Technology\, 
 and Economics (BUTE) and Computer and Automation Research Institute (CARI)
  of the Hungarian Academy of Sciences (HAS)\n Location:Classroom 165\, gro
 und floor\, Library\, Aerospace Eng.\n Zoom: \n Abstract: \n Details: \n I
 n the previous lectures an interesting new approach based on the special d
 ecomposition of the sensitivity function was introduced and discussed. Thi
 s method optimizes the three major components (design loss\, realizability
  loss and modeling loss) separately.\n\n“Nothing is more practical than 
 a good theory.” - Boltzmann\n\nThis summary lecture presents simple exam
 ples to show the efficiency of the method and ease the understanding.\n\n
 “The examples are more useful than formulas.” - Newton\n\nFirst the op
 timization of the design loss is shown by two examples\, where an iterativ
 e redesign technique is used to find the best reachable reference model\, 
 i.e.\, the fastest control system can be ever reached under practical cons
 traints. It is very rare then we have an analytic solution for this optimi
 zation\, instead repeated simulation runs results in the best reference mo
 del.\nThen the optimization of the realizability loss is presented\, which
  is a pure mathematical problem as the examples will show. For the E2 (and
  H2) norms the solution is to solve a Diophantine equation which can be do
 ne by solving special linear system equations. For the E͚ (and H͚) norms
  the problem can be solved via the Navelinna-Pick approximation procedure\
 , which results in a nonlinear system equation.\nFinally the optimization 
 of the modeling loss is treated. It will be shown in the examples that the
  best modeling loss can be obtained if the closed-loop control system is e
 xcited by a binary reference signal\, where the switching condition provid
 es the optimality. The example will show clearly that such optimal excitat
 ion concentrates the frequency content of the signal around the cutting fr
 equency\, this is the frequency domain where we must have the most accurat
 e models.
CATEGORIES:Seminars
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng.

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DTSTART:20150327T030000

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