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...Show MoreMetadata
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.
Date of Conference: 08-10 May 2002
Date Added to IEEE Xplore: 07 November 2002
Print ISBN:0-7803-7298-0
Print ISSN: 0743-1619