NDLI: Geometric Design of Lead/Lag Compensators Meeting a Hinf Specification

Content Provider	IEEE Xplore Digital Library
Author	Flores, S.S. Valle, A.M. Castillejos, B.A.
Copyright Year	2007
Description	Author affiliation: ESIME Zacatenco, Zacatenco (Flores, S.S.)
Abstract	This note deals with the problem of characterizing a class of second-order three-parameter compensators [including lead/lag compensators and proportional-integral- derivative (PID) controllers] satisfying given Hinfin closed-loop specification. Design characterizations of similar form as in the work on PID control, are derived for a larger class of compensators using simple geometric considerations. The linear fractional transformation is used to give the transfer function the required shape. Specifically it is shown that, fixing the value of one parameter: i) the region of the plane defined by the other two parameters where the considered Hinfin constraint is satisfied, consists of the union of disjoint convex sets whose number can be bounded by means of the pie-cutting formula, and ii) the closed-loop pole distribution can be related to them. An example illustrates how the method can be applied to design a lead/lag compensator in the case of bounded sensitivity.
Starting Page	257
Ending Page	261
File Size	3456236
Page Count	5
File Format	PDF
ISBN	9781424411658
DOI	10.1109/ICEEE.2007.4345017
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-09-05
Publisher Place	Mexico
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Shape proportional-integral-derivative (PID) control Three-term control Meetings Transfer functions Biehler IEEE members PD control Design engineering Proportional control Integral equations Pi control H¿ sensitivity LFT
Content Type	Text
Resource Type	Article

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