NDLI: Necessary and sufficient conditions for non-overshooting step responses for LTI systems

Content Provider	IEEE Xplore Digital Library
Author	Jayasuriya, S. Dharne, A.G.
Copyright Year	2002
Description	Author affiliation: Dept. of Mech. Eng., Texas A&M Univ., College Station, TX, USA (Jayasuriya, S.; Dharne, A.G.)
Abstract	In this paper we consider a class of systems for which a necessary and sufficient condition is given for the determination of whether or not its impulse response starting from zero initial conditions is nonnegative. The class of plants considered is SISO, LTI, stable and strictly proper. We show that the system step response is nonovershooting by converting it to a root finding problem of a polynomial. The derived necessary and sufficient condition can then be used to develop other sufficiency conditions for more general plants where the poles need not satisfy the special form given above. Further we derive a necessary and sufficient condition guaranteeing a nonovershooting step response for another class of SISO, LTI stable and strictly proper systems. The poles of this class of systems are assumed real and of the form /spl lambda//sub i/ = i/spl lambda/, /spl lambda/ < 0, i = 1, 2,..., n. The conditions should be useful in practical control system design where a nonovershooting step response is desirable. In addition necessary and sufficient conditions are derived for a SISO plant with a complex conjugate pole pair. The latter result is then used to state conditions for a third order plant with no zeros.
Sponsorship	American Autom. Control Council IFAC SICE
Starting Page	505
Ending Page	510
File Size	309179
Page Count	6
File Format	PDF
ISBN	0780372980
ISSN	07431619
DOI	10.1109/ACC.2002.1024856
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-05-08
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Sufficient conditions Control systems Mechanical engineering Polynomials Chemical processes Feedback Transfer functions Design methodology Frequency domain analysis Size control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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