Stability theory for linear time-invariant plants with periodic digital controllers.

Bruce A. Francis; Tryphon T. Georgiou

doi:10.23919/acc.1988.4789907

Stability theory for linear time-invariant plants with periodic digital controllers.

Bruce A. Francis
, Tryphon T. Georgiou

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The control of a linear time-invariant plant by a digital controller composed of a sampler, a periodic discrete-time component, and a zero-order hold is presented. The stability of such a configuration is analyzed. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence, it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods.

Original language	English (US)
Pages (from-to)	1225-1231
Number of pages	7
Journal	Proceedings of the American Control Conference
Volume	pt 1-3
DOIs	https://doi.org/10.23919/acc.1988.4789907
State	Published - 1988
Event	7th American Control Conference, ACC 1988 - Atlanta, GA, USA, United States Duration: Jun 15 1988 → Jun 17 1988

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title = "Stability theory for linear time-invariant plants with periodic digital controllers.",

abstract = "The control of a linear time-invariant plant by a digital controller composed of a sampler, a periodic discrete-time component, and a zero-order hold is presented. The stability of such a configuration is analyzed. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence, it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods.",

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year = "1988",

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journal = "Proceedings of the American Control Conference",

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note = "7th American Control Conference, ACC 1988 ; Conference date: 15-06-1988 Through 17-06-1988",

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T1 - Stability theory for linear time-invariant plants with periodic digital controllers.

AU - Francis, Bruce A.

AU - Georgiou, Tryphon T.

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N2 - The control of a linear time-invariant plant by a digital controller composed of a sampler, a periodic discrete-time component, and a zero-order hold is presented. The stability of such a configuration is analyzed. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence, it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods.

AB - The control of a linear time-invariant plant by a digital controller composed of a sampler, a periodic discrete-time component, and a zero-order hold is presented. The stability of such a configuration is analyzed. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence, it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods.

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U2 - 10.23919/acc.1988.4789907

DO - 10.23919/acc.1988.4789907

M3 - Conference article

AN - SCOPUS:17344377080

SN - 0743-1619

VL - pt 1-3

SP - 1225

EP - 1231

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 7th American Control Conference, ACC 1988

Y2 - 15 June 1988 through 17 June 1988

ER -

Stability theory for linear time-invariant plants with periodic digital controllers.

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