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

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自动化学院

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19 引用（Scopus）

摘要

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.

源语言	英语
文章编号	108949
期刊	Automatica
卷	117
DOI	https://doi.org/10.1016/j.automatica.2020.108949
出版状态	已出版 - 7月 2020

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Sun, H., Sun, J., & Chen, J. (2020). Stability of linear systems with sawtooth input delay and predictor-based controller. Automatica, 117, 文章 108949. https://doi.org/10.1016/j.automatica.2020.108949

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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",

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volume = "117",

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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

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SN - 0005-1098

VL - 117

JO - Automatica

JF - Automatica

M1 - 108949

ER -

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

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