Robustness of L1 adaptive controllers in the gap metric

Dapeng Li; Naira Hovakimyan; Tryphon Georgiou

Robustness of L₁ adaptive controllers in the gap metric

Dapeng Li, Naira Hovakimyan, Tryphon Georgiou

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

Abstract

This paper derives robust stability margin of an L₁ adaptive controller in the gap metric. For that purpose, first a classical result on robustness of nonlinear input-output systems is reviewed, and an appropriate extension on biased-gain stability is introduced. This extension circumvents the singularity inherent to the analysis of robustness of adaptive systems, and leads to computable robust stability margin of L₁ adaptive controller. A time-delay margin of the L₁ controller is computed as an illustration of the theoretical results.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Pages	3247-3252
Number of pages	6
State	Published - 2010
Event	2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: Jun 30 2010 → Jul 2 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

Other

Other	2010 American Control Conference, ACC 2010
Country/Territory	United States
City	Baltimore, MD
Period	6/30/10 → 7/2/10

ASJC Scopus subject areas

Control and Systems Engineering

Library availability

Discover UIUC Full Text

Cite this

@inproceedings{1923bc00162445e09bcef8ee62847406,

title = "Robustness of L1 adaptive controllers in the gap metric",

abstract = "This paper derives robust stability margin of an L1 adaptive controller in the gap metric. For that purpose, first a classical result on robustness of nonlinear input-output systems is reviewed, and an appropriate extension on biased-gain stability is introduced. This extension circumvents the singularity inherent to the analysis of robustness of adaptive systems, and leads to computable robust stability margin of L1 adaptive controller. A time-delay margin of the L1 controller is computed as an illustration of the theoretical results.",

author = "Dapeng Li and Naira Hovakimyan and Tryphon Georgiou",

year = "2010",

language = "English (US)",

isbn = "9781424474264",

series = "Proceedings of the 2010 American Control Conference, ACC 2010",

pages = "3247--3252",

booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",

note = "2010 American Control Conference, ACC 2010 ; Conference date: 30-06-2010 Through 02-07-2010",

}

TY - GEN

T1 - Robustness of L1 adaptive controllers in the gap metric

AU - Li, Dapeng

AU - Hovakimyan, Naira

AU - Georgiou, Tryphon

PY - 2010

Y1 - 2010

N2 - This paper derives robust stability margin of an L1 adaptive controller in the gap metric. For that purpose, first a classical result on robustness of nonlinear input-output systems is reviewed, and an appropriate extension on biased-gain stability is introduced. This extension circumvents the singularity inherent to the analysis of robustness of adaptive systems, and leads to computable robust stability margin of L1 adaptive controller. A time-delay margin of the L1 controller is computed as an illustration of the theoretical results.

AB - This paper derives robust stability margin of an L1 adaptive controller in the gap metric. For that purpose, first a classical result on robustness of nonlinear input-output systems is reviewed, and an appropriate extension on biased-gain stability is introduced. This extension circumvents the singularity inherent to the analysis of robustness of adaptive systems, and leads to computable robust stability margin of L1 adaptive controller. A time-delay margin of the L1 controller is computed as an illustration of the theoretical results.

UR - http://www.scopus.com/inward/record.url?scp=77957798541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957798541&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:77957798541

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 3247

EP - 3252

BT - Proceedings of the 2010 American Control Conference, ACC 2010

T2 - 2010 American Control Conference, ACC 2010

Y2 - 30 June 2010 through 2 July 2010

ER -