Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint

Lei Xia; Yongzhi Sheng

doi:10.1109/CCDC58219.2023.10326498

Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint

Lei Xia^*, Yongzhi Sheng

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, a fractional order sliding mode guidance law to stationary targets is proposed which can also achieve impact angle constraint. A new independent variable is introduced. The sliding surface is well analyzed by both Lyapunov stability and analytical expressions. The fractional order term and initializing term affect the variations of the sliding surface, flight path angle and trajectory. Regulations are summarized according to the guidance expectations. By setting parameters properly, the fractional order guidance law has further hit downrange compared with the integer one. The extension of hit downrange can be applied in practical engineering. The proposed guidance law shows good effectiveness and robustness.

Original language	English
Title of host publication	Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2227-2233
Number of pages	7
ISBN (Electronic)	9798350334722
DOIs	https://doi.org/10.1109/CCDC58219.2023.10326498
Publication status	Published - 2023
Event	35th Chinese Control and Decision Conference, CCDC 2023 - Yichang, China Duration: 20 May 2023 → 22 May 2023

Publication series

Name	Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

Conference

Conference	35th Chinese Control and Decision Conference, CCDC 2023
Country/Territory	China
City	Yichang
Period	20/05/23 → 22/05/23

Keywords

Fractional order calculus
Guidance law
Sliding mode control

Access to Document

10.1109/CCDC58219.2023.10326498

Cite this

Xia, L., & Sheng, Y. (2023). Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint. In Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023 (pp. 2227-2233). (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC58219.2023.10326498

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title = "Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint",

abstract = "In this paper, a fractional order sliding mode guidance law to stationary targets is proposed which can also achieve impact angle constraint. A new independent variable is introduced. The sliding surface is well analyzed by both Lyapunov stability and analytical expressions. The fractional order term and initializing term affect the variations of the sliding surface, flight path angle and trajectory. Regulations are summarized according to the guidance expectations. By setting parameters properly, the fractional order guidance law has further hit downrange compared with the integer one. The extension of hit downrange can be applied in practical engineering. The proposed guidance law shows good effectiveness and robustness.",

keywords = "Fractional order calculus, Guidance law, Sliding mode control",

author = "Lei Xia and Yongzhi Sheng",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 35th Chinese Control and Decision Conference, CCDC 2023 ; Conference date: 20-05-2023 Through 22-05-2023",

year = "2023",

doi = "10.1109/CCDC58219.2023.10326498",

language = "English",

series = "Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023",

address = "United States",

}

Xia, L & Sheng, Y 2023, Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint. in Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023, Institute of Electrical and Electronics Engineers Inc., pp. 2227-2233, 35th Chinese Control and Decision Conference, CCDC 2023, Yichang, China, 20/05/23. https://doi.org/10.1109/CCDC58219.2023.10326498

Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint. / Xia, Lei; Sheng, Yongzhi.
Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 2227-2233 (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint

AU - Xia, Lei

AU - Sheng, Yongzhi

PY - 2023

Y1 - 2023

N2 - In this paper, a fractional order sliding mode guidance law to stationary targets is proposed which can also achieve impact angle constraint. A new independent variable is introduced. The sliding surface is well analyzed by both Lyapunov stability and analytical expressions. The fractional order term and initializing term affect the variations of the sliding surface, flight path angle and trajectory. Regulations are summarized according to the guidance expectations. By setting parameters properly, the fractional order guidance law has further hit downrange compared with the integer one. The extension of hit downrange can be applied in practical engineering. The proposed guidance law shows good effectiveness and robustness.

AB - In this paper, a fractional order sliding mode guidance law to stationary targets is proposed which can also achieve impact angle constraint. A new independent variable is introduced. The sliding surface is well analyzed by both Lyapunov stability and analytical expressions. The fractional order term and initializing term affect the variations of the sliding surface, flight path angle and trajectory. Regulations are summarized according to the guidance expectations. By setting parameters properly, the fractional order guidance law has further hit downrange compared with the integer one. The extension of hit downrange can be applied in practical engineering. The proposed guidance law shows good effectiveness and robustness.

KW - Fractional order calculus

KW - Guidance law

KW - Sliding mode control

UR - http://www.scopus.com/inward/record.url?scp=85181844038&partnerID=8YFLogxK

U2 - 10.1109/CCDC58219.2023.10326498

DO - 10.1109/CCDC58219.2023.10326498

M3 - Conference contribution

AN - SCOPUS:85181844038

T3 - Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

SP - 2227

EP - 2233

BT - Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 35th Chinese Control and Decision Conference, CCDC 2023

Y2 - 20 May 2023 through 22 May 2023

ER -

Xia L, Sheng Y. Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint. In Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 2227-2233. (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023). doi: 10.1109/CCDC58219.2023.10326498

Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint

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