Delta Domain Lyapunov Matrix Equation--A Link between Continuous and Discrete Equations--

Takehiro MORI; Inge TROCH

Delta Domain Lyapunov Matrix Equation--A Link between Continuous and Discrete Equations--

Takehiro MORI, Inge TROCH

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It has been recognized that there exist some disparities between properties of continuous control systems and those of discrete ones which are obtained from their continuous counterparts by use of a sampler and zero order hold. This still remains true even if the sampling rate becomes fast enough and sometimes causes unfavorable effects in control systems design. To reconcile with this conflict, use of delta operator has been proposed in place of z-operator recently. This note formulates a delta domain Lyapunov matrix equation and shows that the equation actually mediates the discrete Lyapunov equation and its continuous counterpart.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.3 pp.451-454

Publication Date: 1992/03/25

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Type of Manuscript: LETTER

Category: Control and Computing

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Takehiro MORI, Inge TROCH, "Delta Domain Lyapunov Matrix Equation--A Link between Continuous and Discrete Equations--" in IEICE TRANSACTIONS on Fundamentals, vol. E75-A, no. 3, pp. 451-454, March 1992, doi: .
Abstract: It has been recognized that there exist some disparities between properties of continuous control systems and those of discrete ones which are obtained from their continuous counterparts by use of a sampler and zero order hold. This still remains true even if the sampling rate becomes fast enough and sometimes causes unfavorable effects in control systems design. To reconcile with this conflict, use of delta operator has been proposed in place of z-operator recently. This note formulates a delta domain Lyapunov matrix equation and shows that the equation actually mediates the discrete Lyapunov equation and its continuous counterpart.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e75-a_3_451/_p

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@ARTICLE{e75-a_3_451,
author={Takehiro MORI, Inge TROCH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Delta Domain Lyapunov Matrix Equation--A Link between Continuous and Discrete Equations--},
year={1992},
volume={E75-A},
number={3},
pages={451-454},
abstract={It has been recognized that there exist some disparities between properties of continuous control systems and those of discrete ones which are obtained from their continuous counterparts by use of a sampler and zero order hold. This still remains true even if the sampling rate becomes fast enough and sometimes causes unfavorable effects in control systems design. To reconcile with this conflict, use of delta operator has been proposed in place of z-operator recently. This note formulates a delta domain Lyapunov matrix equation and shows that the equation actually mediates the discrete Lyapunov equation and its continuous counterpart.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Delta Domain Lyapunov Matrix Equation--A Link between Continuous and Discrete Equations--
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 451
EP - 454
AU - Takehiro MORI
AU - Inge TROCH
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1992
AB - It has been recognized that there exist some disparities between properties of continuous control systems and those of discrete ones which are obtained from their continuous counterparts by use of a sampler and zero order hold. This still remains true even if the sampling rate becomes fast enough and sometimes causes unfavorable effects in control systems design. To reconcile with this conflict, use of delta operator has been proposed in place of z-operator recently. This note formulates a delta domain Lyapunov matrix equation and shows that the equation actually mediates the discrete Lyapunov equation and its continuous counterpart.
ER -