Record Details


Field	Value

Title	Nyquist plots, finite gain/phase margins & dissipativity

Creator	PAL, D BELUR, MN

Subject	Convex combination Frequency weighted supply rates Dissipative systems

Description	The relation between the small gain theorem and 'infinite phase margin' is classical; in this paper we formulate a novel supply rate, called the 'not-out-of-phase' supply rate, to first prove that 'infinite gain margin' (i.e. non-intersection of the Nyquist plot of a transfer function and the negative half of the real axis) is equivalent to dissipativity with respect to this supply rate. Capturing non-intersection of half-line makes the supply rate system-dependent: a novel feature unobserved in the supply rates considered in the literature so far. We then show that the traditional finite and positive gain/phase margin conditions for stability are equivalent to dissipativity with respect to a frequency weighted convex combination of the not-out-of-phase supply rate and the small-gain supply rate; both frequency weightings and combining two supply-rates/performance-indices have been investigated in the literature in different contexts, but only as sufficient conditions. (C) 2013 Elsevier B.V. All rights reserved.

Publisher	ELSEVIER SCIENCE BV

Date	2014-10-15T13:51:59Z 2014-10-15T13:51:59Z 2013

Type	Article

Identifier	SYSTEMS & CONTROL LETTERS, 62(10)890-894 http://dx.doi.org/10.1016/j.sysconle.2013.06.010 http://dspace.library.iitb.ac.in/jspui/handle/100/15032

Language	en

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