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Finite gain and phase margins as dissipativity conditions

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Field Value
 
Title Finite gain and phase margins as dissipativity conditions
 
Creator PAL, D
BELUR, MN
 
Subject quadratic differential forms
systems
 
Description It is well-known that the two situations: gain margin being infinite and phase margin being infinite are individually special cases of dissipativities with respect to suitable supply rates; the small gain theorem and passivity result being the respective theorems. However, in practice, the two margins being finite also allows concluding closed loop stability using the Nyquist stability criteria. We show in this paper that the finite and positive gain and phase margin condition is equivalent to dissipativity with respect to a convex combination of the supply rates arising from infinite gain margin and infinite phase margin supply rates. We formulate this situation into a more general framework of Nyquist Plot Compatible (NPC) supply rates and transformations that keep such supply rates invariant. Keywords: dissipativity, convex combination, small gain theorem, passivity result, Nyquist plot
 
Publisher IEEE
 
Date 2011-10-25T10:04:19Z
2011-12-15T09:11:47Z
2011-10-25T10:04:19Z
2011-12-15T09:11:47Z
2010
 
Type Proceedings Paper
 
Identifier 2010 AMERICAN CONTROL CONFERENCE,337-342
978-1-4244-7427-1
0743-1619
http://dspace.library.iitb.ac.in/xmlui/handle/10054/15684
http://hdl.handle.net/100/2284
 
Source American Control Conference,Baltimore, MD,JUN 30-JUL 02, 2010
 
Language English