NDLI: Riemann k-surfaces in multivariable control systems

Content Provider	IEEE Xplore Digital Library
Author	Richter, C.M. da Cunha, R.F. Bottura, C.P.
Copyright Year	1999
Description	Author affiliation: Nucl. de Engenharia Biomed., Univ. Catolica de Pelotas, Brazil (Richter, C.M.)
Abstract	Riemann surfaces were introduced in control theory to solve ambiguous situations in multivariable control systems. Square systems with m inputs and m outputs have Riemann surfaces in m sheets or copies of the complex plane. We show that it is possible to represent all sheets of a Riemann surface in a unique graph, and we show how to plot this graph for the Riemann k-surfaces of a square multivariable system. Different representations appear as some variables' combinations, as the studied space is 4-dimensional: system poles s frequency have complex values as function of the complex values imposed on the gain variable k. It is shown that these k-surfaces include the root locus and complementary root locus branches, and graphic forms are shown for the k-surfaces, which include generalization of gain plots and other representations for root locus and complementary root locus. 3-dimensional representations for Riemann k-surfaces are also shown.
Starting Page	2869
Ending Page	2870
File Size	249509
Page Count	2
File Format	PDF
ISBN	0780349903
ISSN	07431619
DOI	10.1109/ACC.1999.786597
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-06-02
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Control systems Eigenvalues and eigenfunctions MIMO Graphics Output feedback Calculus Control theory Frequency Gain Equations
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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