Interval observer-based finite-time control for linear parameter-varying systems

Tu Zhang; Liwei Li; Mouquan Shen

doi:10.1016/j.amc.2021.126478

Interval observer-based finite-time control for linear parameter-varying systems

Tu Zhang, Liwei Li, Mouquan Shen

COLLEGE OF ELECTRICAL ENGINEERING AND CONTROL SCIENCE

Nanjing Tech University

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

5 Scopus citations

Abstract

The paper is concerned with the finite-time control of linear parameter-varying systems by means of the interval observer method. An unknown input observer framework is utilized to construct the interval observer to avoid the cooperativity constraint in estimation error dynamics. The corresponding control scheme composed of upper-lower bounds of the controller is established to treat the time-varying parameter in control input channel. Sufficient conditions are formulated as LMIs to guarantee the finite-time boundedness of error systems. The effectiveness of the proposed strategy is evaluated by numerical simulations.

Original language	English
Article number	126478
Journal	Applied Mathematics and Computation
Volume	411
DOIs	https://doi.org/10.1016/j.amc.2021.126478
State	Published - 15 Dec 2021

Keywords

Interval observer
Linear matrix inequalities
Linear parameter-varying systems

Access to Document

10.1016/j.amc.2021.126478

Cite this

@article{464aa77a66134b78a4d9081874ae6710,

title = "Interval observer-based finite-time control for linear parameter-varying systems",

abstract = "The paper is concerned with the finite-time control of linear parameter-varying systems by means of the interval observer method. An unknown input observer framework is utilized to construct the interval observer to avoid the cooperativity constraint in estimation error dynamics. The corresponding control scheme composed of upper-lower bounds of the controller is established to treat the time-varying parameter in control input channel. Sufficient conditions are formulated as LMIs to guarantee the finite-time boundedness of error systems. The effectiveness of the proposed strategy is evaluated by numerical simulations.",

keywords = "Interval observer, Linear matrix inequalities, Linear parameter-varying systems",

author = "Tu Zhang and Liwei Li and Mouquan Shen",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = dec,

day = "15",

doi = "10.1016/j.amc.2021.126478",

language = "英语",

volume = "411",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Interval observer-based finite-time control for linear parameter-varying systems

AU - Zhang, Tu

AU - Li, Liwei

AU - Shen, Mouquan

PY - 2021/12/15

Y1 - 2021/12/15

N2 - The paper is concerned with the finite-time control of linear parameter-varying systems by means of the interval observer method. An unknown input observer framework is utilized to construct the interval observer to avoid the cooperativity constraint in estimation error dynamics. The corresponding control scheme composed of upper-lower bounds of the controller is established to treat the time-varying parameter in control input channel. Sufficient conditions are formulated as LMIs to guarantee the finite-time boundedness of error systems. The effectiveness of the proposed strategy is evaluated by numerical simulations.

AB - The paper is concerned with the finite-time control of linear parameter-varying systems by means of the interval observer method. An unknown input observer framework is utilized to construct the interval observer to avoid the cooperativity constraint in estimation error dynamics. The corresponding control scheme composed of upper-lower bounds of the controller is established to treat the time-varying parameter in control input channel. Sufficient conditions are formulated as LMIs to guarantee the finite-time boundedness of error systems. The effectiveness of the proposed strategy is evaluated by numerical simulations.

KW - Interval observer

KW - Linear matrix inequalities

KW - Linear parameter-varying systems

UR - http://www.scopus.com/inward/record.url?scp=85109552618&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2021.126478

DO - 10.1016/j.amc.2021.126478

M3 - 文章

AN - SCOPUS:85109552618

SN - 0096-3003

VL - 411

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 126478

ER -

Interval observer-based finite-time control for linear parameter-varying systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this