Prescribed-Time Control and Its Latest Developments

Yongduan SONG; Hefu YE; Frank L. LEWIS

doi:10.1109/TSMC.2023.3240751

Prescribed-Time Control and Its Latest Developments

Yongduan SONG^*
, Hefu YE
, Frank L. LEWIS

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

264 Citations (Scopus)

Abstract

Prescribed-time (PT) control for nonlinear systems, originated from Song et al., has gained increasing attention among the control community. The salient feature of PT control lies in its ability to achieve system stability within a finite settling time user-assignable in advance irrespective of initial conditions. It is such a unique feature that has enticed many follow-up studies on this technically important area, motivating numerous research advancements. In this article, we provide a comprehensive survey on the recent developments in PT control. Through a concise introduction to the concept of PT control, and a unique taxonomy covering: 1) from robust PT control to adaptive PT control; 2) from PT control for single-input-single-output (SISO) systems to multi-input-multioutput (MIMO) systems; and 3) from PT control for an isolated system to multiagent systems, we present an accessible review of this interesting topic. We highlight key techniques, and fundamental assumptions adopted in various developments as well as some new design ideas. We also discuss several possible future research directions toward PT control.

Original language	English
Pages (from-to)	4102-4116
Number of pages	15
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	53
Issue number	7
Early online date	15 Feb 2023
DOIs	https://doi.org/10.1109/TSMC.2023.3240751
Publication status	Published - Jul 2023
Externally published	Yes

Bibliographical note

This article was recommended by Associate Editor H. Zhang.
Publisher Copyright:
© 2013 IEEE.

Funding

This work was supported in part by the National Key Research and Development Program of China under Grant 2022YFB4701400/4701401; in part by the National Natural Science Foundation of China under Grant 61991400, Grant 61991403, Grant 62250710167, Grant 61860206008, Grant 61933012, and Grant 62273064; and in part by the China Scholarship Council.

Keywords

Finite-time (FT) control
prescribed-time (PT) control
state scaling
time scaling
time-varying feedback

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10.1109/TSMC.2023.3240751

Cite this

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title = "Prescribed-Time Control and Its Latest Developments",

abstract = "Prescribed-time (PT) control for nonlinear systems, originated from Song et al., has gained increasing attention among the control community. The salient feature of PT control lies in its ability to achieve system stability within a finite settling time user-assignable in advance irrespective of initial conditions. It is such a unique feature that has enticed many follow-up studies on this technically important area, motivating numerous research advancements. In this article, we provide a comprehensive survey on the recent developments in PT control. Through a concise introduction to the concept of PT control, and a unique taxonomy covering: 1) from robust PT control to adaptive PT control; 2) from PT control for single-input-single-output (SISO) systems to multi-input-multioutput (MIMO) systems; and 3) from PT control for an isolated system to multiagent systems, we present an accessible review of this interesting topic. We highlight key techniques, and fundamental assumptions adopted in various developments as well as some new design ideas. We also discuss several possible future research directions toward PT control.",

keywords = "Finite-time (FT) control, prescribed-time (PT) control, state scaling, time scaling, time-varying feedback",

author = "Yongduan SONG and Hefu YE and LEWIS, \{Frank L.\}",

note = "This article was recommended by Associate Editor H. Zhang. Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2023",

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doi = "10.1109/TSMC.2023.3240751",

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AU - LEWIS, Frank L.

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N2 - Prescribed-time (PT) control for nonlinear systems, originated from Song et al., has gained increasing attention among the control community. The salient feature of PT control lies in its ability to achieve system stability within a finite settling time user-assignable in advance irrespective of initial conditions. It is such a unique feature that has enticed many follow-up studies on this technically important area, motivating numerous research advancements. In this article, we provide a comprehensive survey on the recent developments in PT control. Through a concise introduction to the concept of PT control, and a unique taxonomy covering: 1) from robust PT control to adaptive PT control; 2) from PT control for single-input-single-output (SISO) systems to multi-input-multioutput (MIMO) systems; and 3) from PT control for an isolated system to multiagent systems, we present an accessible review of this interesting topic. We highlight key techniques, and fundamental assumptions adopted in various developments as well as some new design ideas. We also discuss several possible future research directions toward PT control.

AB - Prescribed-time (PT) control for nonlinear systems, originated from Song et al., has gained increasing attention among the control community. The salient feature of PT control lies in its ability to achieve system stability within a finite settling time user-assignable in advance irrespective of initial conditions. It is such a unique feature that has enticed many follow-up studies on this technically important area, motivating numerous research advancements. In this article, we provide a comprehensive survey on the recent developments in PT control. Through a concise introduction to the concept of PT control, and a unique taxonomy covering: 1) from robust PT control to adaptive PT control; 2) from PT control for single-input-single-output (SISO) systems to multi-input-multioutput (MIMO) systems; and 3) from PT control for an isolated system to multiagent systems, we present an accessible review of this interesting topic. We highlight key techniques, and fundamental assumptions adopted in various developments as well as some new design ideas. We also discuss several possible future research directions toward PT control.

KW - Finite-time (FT) control

KW - prescribed-time (PT) control

KW - state scaling

KW - time scaling

KW - time-varying feedback

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DO - 10.1109/TSMC.2023.3240751

M3 - Journal Article (refereed)

AN - SCOPUS:85149424063

SN - 2168-2216

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SP - 4102

EP - 4116

JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems

JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems

IS - 7

ER -

Prescribed-Time Control and Its Latest Developments

Abstract

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Keywords

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