Robustness of ℒ1 adaptive controllers in the gap metric in the presence of nonzero initialization

Dapeng Li; Naira Hovakimyan; Tryphon Georgiou

doi:10.1109/CDC.2010.5717509

Robustness of ℒ₁ adaptive controllers in the gap metric in the presence of nonzero initialization

Dapeng Li, Naira Hovakimyan, Tryphon Georgiou

Electrical and Computer Engineering

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

2 Scopus citations

Abstract

This paper derives the robust stability margin of ℒ₁ adaptive controller in the gap metric for the case of nonzero initialization.We use the notion of biased-gain stability to obtain a computable robust stability margin of ℒ₁ adaptive controller in gap metric.

Original language	English (US)
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2723-2728
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717509
State	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: Dec 15 2010 → Dec 17 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	12/15/10 → 12/17/10

Publisher link

10.1109/CDC.2010.5717509

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Cite this

Li, D., Hovakimyan, N., & Georgiou, T. (2010). Robustness of ℒ₁ adaptive controllers in the gap metric in the presence of nonzero initialization. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 2723-2728). Article 5717509 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717509

Robustness of ℒ₁ adaptive controllers in the gap metric in the presence of nonzero initialization. / Li, Dapeng; Hovakimyan, Naira; Georgiou, Tryphon.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 2723-2728 5717509 (Proceedings of the IEEE Conference on Decision and Control).

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

Li, D, Hovakimyan, N & Georgiou, T 2010, Robustness of ℒ₁ adaptive controllers in the gap metric in the presence of nonzero initialization. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717509, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2723-2728, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717509

Li D, Hovakimyan N, Georgiou T. Robustness of ℒ₁ adaptive controllers in the gap metric in the presence of nonzero initialization. In 2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc. 2010. p. 2723-2728. 5717509. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2010.5717509

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