Controller synthesis for sign invariant impulse response Conference Paper

abstract

• In this paper, we consider the problem of designing controllers for discrete-time LTI plants that render the closed loop impulse response non-negative. Such systems have a non-undershooting and non-overshooting step response. We first show that the impulse response of any discrete-time LTI system changes sign at least "r" times if it has "r" real, positive zeros outside a circular disk centered at the origin and containing all its poles. We then show that a necessary and sufficient condition on the plant for the existence of a compensator that makes the closed loop impulse response sign invariant is that there be no real, positive, non-minimum phase plant zeros. Finally, we show, by construction, how such a compensator may be synthesized when the plant does satisfy the existence condition.

name of conference

• Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)

authors

• Darbha, Swaroop

published proceedings

• PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6

author list (cited authors)

• Darbha, S., & Bhattacharyya, S. P.

citation count

• 1

complete list of authors

• Darbha, S||Bhattacharyya, SP

publication date

• January 2002

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

keywords

• Drug Abuse (nida Only)
• Substance Abuse

Digital Object Identifier (DOI)

• 10.1109/acc.2002.1023157

International Standard Book Number (ISBN) 10

• 0-7803-7298-0

start page

• 1055

end page

• 1061

volume

• 1-6

URL

• http://dx.doi.org/10.1109/acc.2002.1023157