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

Electrical and Computer Engineering

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

5 Scopus citations

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

OpenUrl availability

Full text

Cite this

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