NDLI: A universal extremum seeking-based stabilizer for unknown LTV systems with unknown control directions

Content Provider	IEEE Xplore Digital Library
Author	Scheinker, A. Krstic, M.
Copyright Year	2012
Description	Author affiliation: Los Alamos Nat. Lab., Los Alamos, NM, USA (Scheinker, A.) \|\| Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, La Jolla, CA, USA (Krstic, M.)
Abstract	We solve the problem of model-independent semiglobal exponential practical stabilization for any linear time-varying single-input system under the assumption that the time-varying input vector, which is otherwise unknown, satisfies a persistency of excitation condition over a sufficiently short window. We employ an extremum seeking algorithm, with the square of the norm of the state used as the cost function. The stability analysis is inspired by the approach in a recent work by Dürr, Stankovic, and Johansson, which combines a Lie bracket second-order averaging result of Gurvits and Li with a perturbation theory semiglobal practical stability result of Moreau and Aeyels. As an alternative to the classical Nussbaum gain type of a design by Mudgett and Morse, when applied to time-invariant systems, our design gives up globality and perfect regulation to the origin but ensures exponential practical stabilization and prevents large overshoots that characterize the Nussbaum gain design when the initial estimate of the control direction is of the wrong sign. Furthermore, while the Nussbaum gain design leads to instability when the control direction periodically changes sign, our design guarantees stability.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	1129
Ending Page	1136
File Size	447261
Page Count	8
File Format	PDF
ISBN	9781457710957
ISSN	07431619
e-ISBN	9781457710964
e-ISBN	9781467321020
DOI	10.1109/ACC.2012.6314717
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-27
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Asymptotic stability Stability analysis Time varying systems Trajectory Vectors Robustness
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Extremum seeking-based tracking for unknown systems with unknown control directions

Minimum-Seeking for CLFs: Universal Semiglobally Stabilizing Feedback Under Unknown Control Directions

Trajectory-based proofs for sampled-data extremum seeking control

Extremum seeking control for systems with time-varying extremum

Extremum seeking under input constraint for systems with a time-varying extremum

Derivative based control for LTV system with unknown parameters

Model-based extremum-seeking control for unstable systems with time-varying extremum

Multi-parametric extremum seeking-based learning control for electromagnetic actuators

Extremum seeking-based tracking for unknown systems with unknown control directions

A universal extremum seeking-based stabilizer for unknown LTV systems with unknown control directions

Similar Documents

Extremum seeking-based tracking for unknown systems with unknown control directions

Minimum-Seeking for CLFs: Universal Semiglobally Stabilizing Feedback Under Unknown Control Directions

Trajectory-based proofs for sampled-data extremum seeking control

Extremum seeking control for systems with time-varying extremum

Extremum seeking under input constraint for systems with a time-varying extremum

Derivative based control for LTV system with unknown parameters

Model-based extremum-seeking control for unstable systems with time-varying extremum

Multi-parametric extremum seeking-based learning control for electromagnetic actuators

Extremum seeking-based tracking for unknown systems with unknown control directions

A universal extremum seeking-based stabilizer for unknown LTV systems with unknown control directions