L1 adaptive controller for time-varying reference systems in the presence of unmodeled nonlinear dynamics

Evgeny Kharisov; Naira Hovakimyan; Jiang Wang; Chengyu Cao

L₁ adaptive controller for time-varying reference systems in the presence of unmodeled nonlinear dynamics

Evgeny Kharisov, Naira Hovakimyan, Jiang Wang, Chengyu Cao

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

Abstract

This paper presents the L₁ adaptive controller for a class of uncertain nonlinear systems in the presence of time and state dependent unknown nonlinearities with unmodeled nonlinear dynamics. The L₁ controller achieves performance specifications, defined via a time-varying reference system. We prove that subject to standard regularity assumptions, the L ₁ adaptive controller ensures uniformly bounded transient and steady-state tracking for system's input and output signals simultaneously. The performance bounds can be systematically improved by increasing the rate of adaptation. Simulations of a nonlinear system, coupled to a Lorenz attractor, verify the theoretical findings.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Pages	886-891
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

L₁ adaptive controller for time-varying reference systems in the presence of unmodeled nonlinear dynamics. / Kharisov, Evgeny; Hovakimyan, Naira; Wang, Jiang et al.
Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 886-891 5530476 (Proceedings of the 2010 American Control Conference, ACC 2010).

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

Kharisov, E, Hovakimyan, N, Wang, J & Cao, C 2010, L₁ adaptive controller for time-varying reference systems in the presence of unmodeled nonlinear dynamics. in Proceedings of the 2010 American Control Conference, ACC 2010., 5530476, Proceedings of the 2010 American Control Conference, ACC 2010, pp. 886-891, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 6/30/10.

@inproceedings{682c965556084dbfaa21a134834db825,

title = "L1 adaptive controller for time-varying reference systems in the presence of unmodeled nonlinear dynamics",

abstract = "This paper presents the L1 adaptive controller for a class of uncertain nonlinear systems in the presence of time and state dependent unknown nonlinearities with unmodeled nonlinear dynamics. The L1 controller achieves performance specifications, defined via a time-varying reference system. We prove that subject to standard regularity assumptions, the L 1 adaptive controller ensures uniformly bounded transient and steady-state tracking for system's input and output signals simultaneously. The performance bounds can be systematically improved by increasing the rate of adaptation. Simulations of a nonlinear system, coupled to a Lorenz attractor, verify the theoretical findings.",

author = "Evgeny Kharisov and Naira Hovakimyan and Jiang Wang and Chengyu Cao",

year = "2010",

language = "English (US)",

isbn = "9781424474264",

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

pages = "886--891",

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 - L1 adaptive controller for time-varying reference systems in the presence of unmodeled nonlinear dynamics

AU - Kharisov, Evgeny

AU - Hovakimyan, Naira

AU - Wang, Jiang

AU - Cao, Chengyu

PY - 2010

Y1 - 2010

N2 - This paper presents the L1 adaptive controller for a class of uncertain nonlinear systems in the presence of time and state dependent unknown nonlinearities with unmodeled nonlinear dynamics. The L1 controller achieves performance specifications, defined via a time-varying reference system. We prove that subject to standard regularity assumptions, the L 1 adaptive controller ensures uniformly bounded transient and steady-state tracking for system's input and output signals simultaneously. The performance bounds can be systematically improved by increasing the rate of adaptation. Simulations of a nonlinear system, coupled to a Lorenz attractor, verify the theoretical findings.

AB - This paper presents the L1 adaptive controller for a class of uncertain nonlinear systems in the presence of time and state dependent unknown nonlinearities with unmodeled nonlinear dynamics. The L1 controller achieves performance specifications, defined via a time-varying reference system. We prove that subject to standard regularity assumptions, the L 1 adaptive controller ensures uniformly bounded transient and steady-state tracking for system's input and output signals simultaneously. The performance bounds can be systematically improved by increasing the rate of adaptation. Simulations of a nonlinear system, coupled to a Lorenz attractor, verify the theoretical findings.

UR - http://www.scopus.com/inward/record.url?scp=77957764873&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957764873&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:77957764873

SN - 9781424474264

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

SP - 886

EP - 891

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 -