Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary

Gabriela Salcan Reyes; Alexander Lanzon; Ian R. Petersen

doi:10.1109/cdc.2018.8619279

Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary

Gabriela Salcan Reyes, Alexander Lanzon, Ian R. Petersen

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

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Abstract

In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.

Original language	English
Title of host publication	Proceedings of the 57th IEEE Conference on Decision and Control,
DOIs	https://doi.org/10.1109/cdc.2018.8619279
Publication status	Published - 2019

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10.1109/cdc.2018.8619279

cdc-18_SalcanReyes-Lanzon-PetersenAccepted author manuscript, 241 KB

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title = "Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary",

abstract = "In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.",

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doi = "10.1109/cdc.2018.8619279",

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AU - Lanzon, Alexander

AU - Petersen, Ian R.

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N2 - In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.

AB - In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.

U2 - 10.1109/cdc.2018.8619279

DO - 10.1109/cdc.2018.8619279

M3 - Conference contribution

BT - Proceedings of the 57th IEEE Conference on Decision and Control,

ER -

Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary

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