Robust Output Feedback Consensus for Networked Negative-Imaginary Systems

Jianan Wang; Alexander Lanzon; Ian R. Petersen

doi:10.1109/TAC.2015.2395472

Robust Output Feedback Consensus for Networked Negative-Imaginary Systems

Jianan Wang, Alexander Lanzon, Ian R. Petersen

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

75 Citations (Scopus)

Abstract

A robust output feedback consensus problem for networked homogeneous negative-imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a set of reasonable yet elegant conditions are derived for output consensus under L₂ external disturbances as well as NI model uncertainty. As a byproduct, this technical note also reaffirms a previous result by Li et al. which shows the robustness of networked systems is always worse than that of single agent systems. Furthermore, the eventual convergence sets are also characterized for several special NI systems that are commonly studied in the literature. It is shown how the results in this work embed and generalize earlier results for these classes of systems. We show that the natural convergence set boils down to the centroid of the initial pattern when the initial conditions of the controllers are zero. Numerical examples are given to showcase the main results.

Original language	English
Article number	7027157
Pages (from-to)	2547-2552
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	60
Issue number	9
DOIs	https://doi.org/10.1109/TAC.2015.2395472
Publication status	Published - 1 Sept 2015
Externally published	Yes

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10.1109/TAC.2015.2395472

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title = "Robust Output Feedback Consensus for Networked Negative-Imaginary Systems",

abstract = "A robust output feedback consensus problem for networked homogeneous negative-imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a set of reasonable yet elegant conditions are derived for output consensus under L2 external disturbances as well as NI model uncertainty. As a byproduct, this technical note also reaffirms a previous result by Li et al. which shows the robustness of networked systems is always worse than that of single agent systems. Furthermore, the eventual convergence sets are also characterized for several special NI systems that are commonly studied in the literature. It is shown how the results in this work embed and generalize earlier results for these classes of systems. We show that the natural convergence set boils down to the centroid of the initial pattern when the initial conditions of the controllers are zero. Numerical examples are given to showcase the main results.",

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AU - Lanzon, Alexander

AU - Petersen, Ian R.

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N2 - A robust output feedback consensus problem for networked homogeneous negative-imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a set of reasonable yet elegant conditions are derived for output consensus under L2 external disturbances as well as NI model uncertainty. As a byproduct, this technical note also reaffirms a previous result by Li et al. which shows the robustness of networked systems is always worse than that of single agent systems. Furthermore, the eventual convergence sets are also characterized for several special NI systems that are commonly studied in the literature. It is shown how the results in this work embed and generalize earlier results for these classes of systems. We show that the natural convergence set boils down to the centroid of the initial pattern when the initial conditions of the controllers are zero. Numerical examples are given to showcase the main results.

AB - A robust output feedback consensus problem for networked homogeneous negative-imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a set of reasonable yet elegant conditions are derived for output consensus under L2 external disturbances as well as NI model uncertainty. As a byproduct, this technical note also reaffirms a previous result by Li et al. which shows the robustness of networked systems is always worse than that of single agent systems. Furthermore, the eventual convergence sets are also characterized for several special NI systems that are commonly studied in the literature. It is shown how the results in this work embed and generalize earlier results for these classes of systems. We show that the natural convergence set boils down to the centroid of the initial pattern when the initial conditions of the controllers are zero. Numerical examples are given to showcase the main results.

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Robust Output Feedback Consensus for Networked Negative-Imaginary Systems

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