Output-feedback finite-time stabilization of disturbed LTI systems

Marco Tulio Angulo; Leonid Fridman; Arie Levant

doi:10.1016/j.automatica.2012.01.003

Output-feedback finite-time stabilization of disturbed LTI systems

Marco Tulio Angulo, Leonid Fridman, Arie Levant

School of Mathematical Sciences

Tel Aviv University

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

Abstract

Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.

Original language	English
Pages (from-to)	606-611
Number of pages	6
Journal	Automatica
Volume	48
Issue number	4
DOIs	https://doi.org/10.1016/j.automatica.2012.01.003
State	Published - Apr 2012

Keywords

Dynamic output feedback
Finite-time stability
Sliding-mode control

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/j.automatica.2012.01.003

Cite this

@article{1f14349e402e4460975f596fdef00195,

title = "Output-feedback finite-time stabilization of disturbed LTI systems",

abstract = "Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.",

keywords = "Dynamic output feedback, Finite-time stability, Sliding-mode control",

author = "Angulo, \{Marco Tulio\} and Leonid Fridman and Arie Levant",

note = "Funding Information: The authors gratefully acknowledge the financial support from projects PAPIIT 17211, CONACyT 56819, 132125 and CVU 229959, FONCICyT 93302.",

year = "2012",

month = apr,

doi = "10.1016/j.automatica.2012.01.003",

language = "الإنجليزيّة",

volume = "48",

pages = "606--611",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

number = "4",

}

TY - JOUR

T1 - Output-feedback finite-time stabilization of disturbed LTI systems

AU - Angulo, Marco Tulio

AU - Fridman, Leonid

AU - Levant, Arie

N1 - Funding Information: The authors gratefully acknowledge the financial support from projects PAPIIT 17211, CONACyT 56819, 132125 and CVU 229959, FONCICyT 93302.

PY - 2012/4

Y1 - 2012/4

N2 - Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.

AB - Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.

KW - Dynamic output feedback

KW - Finite-time stability

KW - Sliding-mode control

UR - http://www.scopus.com/inward/record.url?scp=84858157799&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2012.01.003

DO - 10.1016/j.automatica.2012.01.003

M3 - مقالة

SN - 0005-1098

VL - 48

SP - 606

EP - 611

JO - Automatica

JF - Automatica

IS - 4

ER -

Output-feedback finite-time stabilization of disturbed LTI systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this