Stability of linear systems with sawtooth input delay and predictor-based controller

Haoyuan Sun; Jian Sun; Jie Chen

doi:10.1016/j.automatica.2020.108949

Stability of linear systems with sawtooth input delay and predictor-based controller

Haoyuan Sun, Jian Sun^*, Jie Chen

^*Corresponding author for this work

School of Automation

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

19 Citations (Scopus)

Abstract

In this paper, the stability of linear systems with sawtooth input delay widely existing in networked systems and predictor-based controller is considered. Under the assumption that there exists an instant where the input delay is zero, a necessary and sufficient condition is obtained to guarantee the exponential stability of the closed-loop system, that is, the closed-loop system is stable if and only if the matrix A+BK is Hurwitz. Two simulation examples are given to confirm the validity of the obtained results.

Original language	English
Article number	108949
Journal	Automatica
Volume	117
DOIs	https://doi.org/10.1016/j.automatica.2020.108949
Publication status	Published - Jul 2020

Keywords

Exponential stability
Input delay
Predictor-based controller
Sawtooth delay

Access to Document

10.1016/j.automatica.2020.108949

Cite this

@article{5539a9440b734802a518a5abb45fd345,

title = "Stability of linear systems with sawtooth input delay and predictor-based controller",

abstract = "In this paper, the stability of linear systems with sawtooth input delay widely existing in networked systems and predictor-based controller is considered. Under the assumption that there exists an instant where the input delay is zero, a necessary and sufficient condition is obtained to guarantee the exponential stability of the closed-loop system, that is, the closed-loop system is stable if and only if the matrix A+BK is Hurwitz. Two simulation examples are given to confirm the validity of the obtained results.",

keywords = "Exponential stability, Input delay, Predictor-based controller, Sawtooth delay",

author = "Haoyuan Sun and Jian Sun and Jie Chen",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = jul,

doi = "10.1016/j.automatica.2020.108949",

language = "English",

volume = "117",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

}

TY - JOUR

T1 - Stability of linear systems with sawtooth input delay and predictor-based controller

AU - Sun, Haoyuan

AU - Sun, Jian

AU - Chen, Jie

PY - 2020/7

Y1 - 2020/7

N2 - In this paper, the stability of linear systems with sawtooth input delay widely existing in networked systems and predictor-based controller is considered. Under the assumption that there exists an instant where the input delay is zero, a necessary and sufficient condition is obtained to guarantee the exponential stability of the closed-loop system, that is, the closed-loop system is stable if and only if the matrix A+BK is Hurwitz. Two simulation examples are given to confirm the validity of the obtained results.

AB - In this paper, the stability of linear systems with sawtooth input delay widely existing in networked systems and predictor-based controller is considered. Under the assumption that there exists an instant where the input delay is zero, a necessary and sufficient condition is obtained to guarantee the exponential stability of the closed-loop system, that is, the closed-loop system is stable if and only if the matrix A+BK is Hurwitz. Two simulation examples are given to confirm the validity of the obtained results.

KW - Exponential stability

KW - Input delay

KW - Predictor-based controller

KW - Sawtooth delay

UR - http://www.scopus.com/inward/record.url?scp=85082624492&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2020.108949

DO - 10.1016/j.automatica.2020.108949

M3 - Article

AN - SCOPUS:85082624492

SN - 0005-1098

VL - 117

JO - Automatica

JF - Automatica

M1 - 108949

ER -

Stability of linear systems with sawtooth input delay and predictor-based controller

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this