A frequency domain analysis and synthesis of the passivity of sampled-data systems

Makan Fardad; Bassam Bamieh

doi:10.1109/cdc.2004.1428749

A frequency domain analysis and synthesis of the passivity of sampled-data systems

Makan Fardad, Bassam Bamieh

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

6 Scopus citations

Abstract

We present a frequency-domain solution to the sampled-data passivity problem. Our analysis is exact in that we take into account the intersample behavior of the sampled-data system. We use Frequency-Response operators and derive a necessary and sufficient condition on the discrete controller that renders a passive closed-loop system. We then find a finite-dimensional system whose closed-loop passivity is equivalent to that of the original one, thus solving the sampled-data passivity synthesis problem. Computations of the equivalent system are carried out in the frequency domain.

Original language	English (US)
Article number	WeC02.5
Pages (from-to)	2358-2363
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/cdc.2004.1428749
State	Published - 2004
Externally published	Yes
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: Dec 14 2004 → Dec 17 2004

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.2004.1428749

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abstract = "We present a frequency-domain solution to the sampled-data passivity problem. Our analysis is exact in that we take into account the intersample behavior of the sampled-data system. We use Frequency-Response operators and derive a necessary and sufficient condition on the discrete controller that renders a passive closed-loop system. We then find a finite-dimensional system whose closed-loop passivity is equivalent to that of the original one, thus solving the sampled-data passivity synthesis problem. Computations of the equivalent system are carried out in the frequency domain.",

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AU - Bamieh, Bassam

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AB - We present a frequency-domain solution to the sampled-data passivity problem. Our analysis is exact in that we take into account the intersample behavior of the sampled-data system. We use Frequency-Response operators and derive a necessary and sufficient condition on the discrete controller that renders a passive closed-loop system. We then find a finite-dimensional system whose closed-loop passivity is equivalent to that of the original one, thus solving the sampled-data passivity synthesis problem. Computations of the equivalent system are carried out in the frequency domain.

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JO - Proceedings of the IEEE Conference on Decision and Control

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T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

Y2 - 14 December 2004 through 17 December 2004

ER -

A frequency domain analysis and synthesis of the passivity of sampled-data systems

Abstract

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