Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems

Hsueh-Ju Chen; Alexander Lanzon; Ian R. Petersen

doi:10.1109/MED.2017.7984271

Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems

Hsueh-Ju Chen, Alexander Lanzon, Ian R. Petersen

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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Abstract

We derived necessary and sufficient conditions for a feedback interconnection of negative imaginary systems to have negative imaginary properties. We first consider two negative imaginary systems (or strictly negative imaginary systems) which are interconnected via positive feedback. Then necessary and sufficient conditions for determining whether the feedback interconnection has negative imaginary properties are presented. These conditions are specialised to a dc loop gain that is easy to check under some assumptions. Together with stability results in the literature, these conditions could be applied to check the stability of a string of several coupled negative imaginary subsystems. Such an example is given to
illustrate the usefulness of our proposed results.

Original language	English
Title of host publication	Proceedings of the 25th Mediterranean Conference on Control and Automation, Valletta, Malta, Jul 2017
DOIs	https://doi.org/10.1109/MED.2017.7984271
Publication status	Published - 2017

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title = "Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems",

abstract = "We derived necessary and sufficient conditions for a feedback interconnection of negative imaginary systems to have negative imaginary properties. We first consider two negative imaginary systems (or strictly negative imaginary systems) which are interconnected via positive feedback. Then necessary and sufficient conditions for determining whether the feedback interconnection has negative imaginary properties are presented. These conditions are specialised to a dc loop gain that is easy to check under some assumptions. Together with stability results in the literature, these conditions could be applied to check the stability of a string of several coupled negative imaginary subsystems. Such an example is given toillustrate the usefulness of our proposed results.",

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Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems. / Chen, Hsueh-Ju; Lanzon, Alexander; Petersen, Ian R.
Proceedings of the 25th Mediterranean Conference on Control and Automation, Valletta, Malta, Jul 2017. 2017.

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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T1 - Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems

AU - Chen, Hsueh-Ju

AU - Lanzon, Alexander

AU - Petersen, Ian R.

PY - 2017

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N2 - We derived necessary and sufficient conditions for a feedback interconnection of negative imaginary systems to have negative imaginary properties. We first consider two negative imaginary systems (or strictly negative imaginary systems) which are interconnected via positive feedback. Then necessary and sufficient conditions for determining whether the feedback interconnection has negative imaginary properties are presented. These conditions are specialised to a dc loop gain that is easy to check under some assumptions. Together with stability results in the literature, these conditions could be applied to check the stability of a string of several coupled negative imaginary subsystems. Such an example is given toillustrate the usefulness of our proposed results.

AB - We derived necessary and sufficient conditions for a feedback interconnection of negative imaginary systems to have negative imaginary properties. We first consider two negative imaginary systems (or strictly negative imaginary systems) which are interconnected via positive feedback. Then necessary and sufficient conditions for determining whether the feedback interconnection has negative imaginary properties are presented. These conditions are specialised to a dc loop gain that is easy to check under some assumptions. Together with stability results in the literature, these conditions could be applied to check the stability of a string of several coupled negative imaginary subsystems. Such an example is given toillustrate the usefulness of our proposed results.

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DO - 10.1109/MED.2017.7984271

M3 - Conference contribution

BT - Proceedings of the 25th Mediterranean Conference on Control and Automation, Valletta, Malta, Jul 2017

ER -

Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems

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