Prescribed-time stabilization of nonlinear strict-feedback-like systems

P. Krishnamurthy, F. Khorrami, M. Krstic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The recently developed notion of 'prescribed-time' stabilization considers regulation of the state to the origin in a prescribed time interval (specified by the control designer) irrespective of the initial state. While prior results on prescribed-time stabilization considered systems in a normal form structure (chain of integrators with uncertainties matched with the control input), we address here a general strict-feedback-like system structure with uncertain nonlinear functions throughout the system dynamics and develop a prescribed-time stabilizing controller based on our dynamic high gain scaling technique along with a novel temporal transformation and scaling dynamics with temporal forcing terms.

Original languageEnglish (US)
Title of host publication2019 American Control Conference, ACC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3081-3086
Number of pages6
ISBN (Electronic)9781538679265
StatePublished - Jul 2019
Event2019 American Control Conference, ACC 2019 - Philadelphia, United States
Duration: Jul 10 2019Jul 12 2019

Publication series

NameProceedings of the American Control Conference
Volume2019-July
ISSN (Print)0743-1619

Conference

Conference2019 American Control Conference, ACC 2019
CountryUnited States
CityPhiladelphia
Period7/10/197/12/19

Fingerprint

Nonlinear feedback
Stabilization
Dynamical systems
Feedback
Controllers
Uncertainty

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Krishnamurthy, P., Khorrami, F., & Krstic, M. (2019). Prescribed-time stabilization of nonlinear strict-feedback-like systems. In 2019 American Control Conference, ACC 2019 (pp. 3081-3086). [8815272] (Proceedings of the American Control Conference; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc..

Prescribed-time stabilization of nonlinear strict-feedback-like systems. / Krishnamurthy, P.; Khorrami, F.; Krstic, M.

2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3081-3086 8815272 (Proceedings of the American Control Conference; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Krishnamurthy, P, Khorrami, F & Krstic, M 2019, Prescribed-time stabilization of nonlinear strict-feedback-like systems. in 2019 American Control Conference, ACC 2019., 8815272, Proceedings of the American Control Conference, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 3081-3086, 2019 American Control Conference, ACC 2019, Philadelphia, United States, 7/10/19.
Krishnamurthy P, Khorrami F, Krstic M. Prescribed-time stabilization of nonlinear strict-feedback-like systems. In 2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3081-3086. 8815272. (Proceedings of the American Control Conference).
Krishnamurthy, P. ; Khorrami, F. ; Krstic, M. / Prescribed-time stabilization of nonlinear strict-feedback-like systems. 2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 3081-3086 (Proceedings of the American Control Conference).
@inproceedings{1fee362ac9a44d999e71e09437587f82,
title = "Prescribed-time stabilization of nonlinear strict-feedback-like systems",
abstract = "The recently developed notion of 'prescribed-time' stabilization considers regulation of the state to the origin in a prescribed time interval (specified by the control designer) irrespective of the initial state. While prior results on prescribed-time stabilization considered systems in a normal form structure (chain of integrators with uncertainties matched with the control input), we address here a general strict-feedback-like system structure with uncertain nonlinear functions throughout the system dynamics and develop a prescribed-time stabilizing controller based on our dynamic high gain scaling technique along with a novel temporal transformation and scaling dynamics with temporal forcing terms.",
author = "P. Krishnamurthy and F. Khorrami and M. Krstic",
year = "2019",
month = "7",
language = "English (US)",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3081--3086",
booktitle = "2019 American Control Conference, ACC 2019",

}

TY - GEN

T1 - Prescribed-time stabilization of nonlinear strict-feedback-like systems

AU - Krishnamurthy, P.

AU - Khorrami, F.

AU - Krstic, M.

PY - 2019/7

Y1 - 2019/7

N2 - The recently developed notion of 'prescribed-time' stabilization considers regulation of the state to the origin in a prescribed time interval (specified by the control designer) irrespective of the initial state. While prior results on prescribed-time stabilization considered systems in a normal form structure (chain of integrators with uncertainties matched with the control input), we address here a general strict-feedback-like system structure with uncertain nonlinear functions throughout the system dynamics and develop a prescribed-time stabilizing controller based on our dynamic high gain scaling technique along with a novel temporal transformation and scaling dynamics with temporal forcing terms.

AB - The recently developed notion of 'prescribed-time' stabilization considers regulation of the state to the origin in a prescribed time interval (specified by the control designer) irrespective of the initial state. While prior results on prescribed-time stabilization considered systems in a normal form structure (chain of integrators with uncertainties matched with the control input), we address here a general strict-feedback-like system structure with uncertain nonlinear functions throughout the system dynamics and develop a prescribed-time stabilizing controller based on our dynamic high gain scaling technique along with a novel temporal transformation and scaling dynamics with temporal forcing terms.

UR - http://www.scopus.com/inward/record.url?scp=85071563096&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071563096&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85071563096

T3 - Proceedings of the American Control Conference

SP - 3081

EP - 3086

BT - 2019 American Control Conference, ACC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

ER -