Stability margins of L1 adaptive control architecture

Chengyu Cao; Naira Hovakimyan

doi:10.1109/TAC.2009.2037384

Stability margins of L₁ adaptive control architecture

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

Abstract

This technical note presents the L₁ adaptive control architecture for systems in the presence of unknown high-frequency gain with known sign, time-varying unknown parameters and disturbances. The L₁ adaptive controller leads to uniform performance bounds for the system's input and output signals, which can be systematically improved by increasing the adaptation rate. For constant unknown parameters, this result leads to analytically computable time-delay margin of a semiglobal nature.

Original language	English (US)
Article number	5373895
Pages (from-to)	480-487
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	55
Issue number	2
DOIs	https://doi.org/10.1109/TAC.2009.2037384
State	Published - Feb 2010

Keywords

Adaptive control
Guaranteed transient
Stability margins

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Online availability

10.1109/TAC.2009.2037384

Library availability

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Cite this

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abstract = "This technical note presents the L1 adaptive control architecture for systems in the presence of unknown high-frequency gain with known sign, time-varying unknown parameters and disturbances. The L1 adaptive controller leads to uniform performance bounds for the system's input and output signals, which can be systematically improved by increasing the adaptation rate. For constant unknown parameters, this result leads to analytically computable time-delay margin of a semiglobal nature.",

keywords = "Adaptive control, Guaranteed transient, Stability margins",

author = "Chengyu Cao and Naira Hovakimyan",

note = "Funding Information: Manuscript received March 14, 2009; revised October 07, 2009 and October 28, 2009. First published January 08, 2010; current version published February 10, 2010. This work was supported by AFOSR under Contract FA9550-05-1-0157. Recommended by Associate Editor A. Astolfi. C. Cao is with the University of Connecticut, Storrs, CT 06269 USA (e-mail: [email protected]). N. Hovakimyan is with the University of Illinois, Urbana-Champaign, Urbana, IL 61801USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TAC.2009.2037384",

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