Interval observer design for continuous-time linear parameter-varying systems

Jitao Li; Zhenhua Wang; Wenhan Zhang; Tarek Raïssi; Yi Shen

doi:10.1016/j.sysconle.2019.104541

Interval observer design for continuous-time linear parameter-varying systems

Jitao Li
, Zhenhua Wang^*
, Wenhan Zhang
, Tarek Raïssi
, Yi Shen

^*Corresponding author for this work

School of Astronautics, Harbin Institute of Technology
Conservatoire national des arts et métiers

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

69 Scopus citations

Abstract

This paper studies interval observer design for linear parameter-varying systems subject to uncertainties in parameters, input and output. Based on a general assumption that these uncertainties are unknown but bounded by known intervals, a novel interval observer is presented to estimate the bounds of state. To attenuate the effect of uncertainties and obtain tight state intervals, a novel L_∞ norm based design method is proposed. Numerical simulations are conducted to demonstrate the performance of the proposed method.

Original language	English
Article number	104541
Journal	Systems and Control Letters
Volume	134
DOIs	https://doi.org/10.1016/j.sysconle.2019.104541
State	Published - Dec 2019
Externally published	Yes

Keywords

Interval observer
L norm
Linear parameter-varying systems

Access to Document

10.1016/j.sysconle.2019.104541

Cite this

@article{0738f3fa994b4d64b3c6d393550e1b67,

title = "Interval observer design for continuous-time linear parameter-varying systems",

abstract = "This paper studies interval observer design for linear parameter-varying systems subject to uncertainties in parameters, input and output. Based on a general assumption that these uncertainties are unknown but bounded by known intervals, a novel interval observer is presented to estimate the bounds of state. To attenuate the effect of uncertainties and obtain tight state intervals, a novel L∞ norm based design method is proposed. Numerical simulations are conducted to demonstrate the performance of the proposed method.",

keywords = "Interval observer, L norm, Linear parameter-varying systems",

author = "Jitao Li and Zhenhua Wang and Wenhan Zhang and Tarek Ra{\"i}ssi and Yi Shen",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

month = dec,

doi = "10.1016/j.sysconle.2019.104541",

language = "英语",

volume = "134",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Interval observer design for continuous-time linear parameter-varying systems

AU - Li, Jitao

AU - Wang, Zhenhua

AU - Zhang, Wenhan

AU - Raïssi, Tarek

AU - Shen, Yi

PY - 2019/12

Y1 - 2019/12

N2 - This paper studies interval observer design for linear parameter-varying systems subject to uncertainties in parameters, input and output. Based on a general assumption that these uncertainties are unknown but bounded by known intervals, a novel interval observer is presented to estimate the bounds of state. To attenuate the effect of uncertainties and obtain tight state intervals, a novel L∞ norm based design method is proposed. Numerical simulations are conducted to demonstrate the performance of the proposed method.

AB - This paper studies interval observer design for linear parameter-varying systems subject to uncertainties in parameters, input and output. Based on a general assumption that these uncertainties are unknown but bounded by known intervals, a novel interval observer is presented to estimate the bounds of state. To attenuate the effect of uncertainties and obtain tight state intervals, a novel L∞ norm based design method is proposed. Numerical simulations are conducted to demonstrate the performance of the proposed method.

KW - Interval observer

KW - L norm

KW - Linear parameter-varying systems

UR - https://www.scopus.com/pages/publications/85072595934

U2 - 10.1016/j.sysconle.2019.104541

DO - 10.1016/j.sysconle.2019.104541

M3 - 文章

AN - SCOPUS:85072595934

SN - 0167-6911

VL - 134

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 104541

ER -

Interval observer design for continuous-time linear parameter-varying systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this