Distributed robustness analysis of heterogeneous networks via integral quadratic constraints

Sei Zhen Khong; Anders Rantzer

doi:10.1109/ACC.2015.7171951

Distributed robustness analysis of heterogeneous networks via integral quadratic constraints

Sei Zhen Khong, Anders Rantzer

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

Abstract

Robust performance of networks of interconnected heterogenous nonlinear dynamic systems is studied using the theory of integral quadratic constraints. By appealing to recent results on chordal sparsity decompositions of rational transfer matrices, distributed and scalable certificates for performance of interconnections are proposed. The approach is more direct since it does not involve reformulating the problem in terms of standard closed-loop configurations as is typical in the literature, which may destroy or conceal the structural properties inherent in the interconnections. The well-studied notion of feedback performance is reinvestigated within this framework. It is shown that feedback performance can be verified in a distributed fashion if the signal variables in the feedback interconnection are selected appropriately. Another contribution of the paper lies in identifying three chordality-preserving operations that are standard in control and modelling theory, namely local feedback, feedforward, and additive input-output perturbations.

Original language	English (US)
Title of host publication	ACC 2015 - 2015 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3980-3985
Number of pages	6
ISBN (Electronic)	9781479986842
DOIs	https://doi.org/10.1109/ACC.2015.7171951
State	Published - Jul 28 2015
Externally published	Yes
Event	2015 American Control Conference, ACC 2015 - Chicago, United States Duration: Jul 1 2015 → Jul 3 2015

Publication series

Name	Proceedings of the American Control Conference
Volume	2015-July
ISSN (Print)	0743-1619

Conference

Conference	2015 American Control Conference, ACC 2015
Country/Territory	United States
City	Chicago
Period	7/1/15 → 7/3/15

Bibliographical note

Publisher Copyright:
© 2015 American Automatic Control Council.

Keywords

Distributed robustness analysis
chordal graphs
integral quadratic constraints

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10.1109/ACC.2015.7171951

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Khong, S. Z., & Rantzer, A. (2015). Distributed robustness analysis of heterogeneous networks via integral quadratic constraints. In ACC 2015 - 2015 American Control Conference (pp. 3980-3985). Article 7171951 (Proceedings of the American Control Conference; Vol. 2015-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2015.7171951

Distributed robustness analysis of heterogeneous networks via integral quadratic constraints. / Khong, Sei Zhen; Rantzer, Anders.
ACC 2015 - 2015 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 3980-3985 7171951 (Proceedings of the American Control Conference; Vol. 2015-July).

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

Khong, SZ & Rantzer, A 2015, Distributed robustness analysis of heterogeneous networks via integral quadratic constraints. in ACC 2015 - 2015 American Control Conference., 7171951, Proceedings of the American Control Conference, vol. 2015-July, Institute of Electrical and Electronics Engineers Inc., pp. 3980-3985, 2015 American Control Conference, ACC 2015, Chicago, United States, 7/1/15. https://doi.org/10.1109/ACC.2015.7171951

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Distributed robustness analysis of heterogeneous networks via integral quadratic constraints

Abstract

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Bibliographical note

Keywords

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