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 languageEnglish (US)
Article number5373895
Pages (from-to)480-487
Number of pages8
JournalIEEE Transactions on Automatic Control
Volume55
Issue number2
DOIs
StatePublished - Feb 1 2010

Fingerprint

Time delay
Controllers

Keywords

  • Adaptive control
  • Guaranteed transient
  • Stability margins

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Stability margins of L1 adaptive control architecture. / Cao, Chengyu; Hovakimyan, Naira.

In: IEEE Transactions on Automatic Control, Vol. 55, No. 2, 5373895, 01.02.2010, p. 480-487.

Research output: Contribution to journalArticle

@article{9d25bd7840cf49e5a67857594de9ca2f,
title = "Stability margins of L1 adaptive control architecture",
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",
year = "2010",
month = "2",
day = "1",
doi = "10.1109/TAC.2009.2037384",
language = "English (US)",
volume = "55",
pages = "480--487",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

TY - JOUR

T1 - Stability margins of L1 adaptive control architecture

AU - Cao, Chengyu

AU - Hovakimyan, Naira

PY - 2010/2/1

Y1 - 2010/2/1

N2 - 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.

AB - 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.

KW - Adaptive control

KW - Guaranteed transient

KW - Stability margins

UR - http://www.scopus.com/inward/record.url?scp=76949106091&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=76949106091&partnerID=8YFLogxK

U2 - 10.1109/TAC.2009.2037384

DO - 10.1109/TAC.2009.2037384

M3 - Article

AN - SCOPUS:76949106091

VL - 55

SP - 480

EP - 487

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 2

M1 - 5373895

ER -