Prescribed-Time Control With Bounded Feedback Gain : A Nonscaling and Structural Adaptation-Based Approach

Jie SU; Yongduan SONG

doi:10.1109/TSMC.2024.3525296

Prescribed-Time Control With Bounded Feedback Gain : A Nonscaling and Structural Adaptation-Based Approach

Jie SU
, Yongduan SONG^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Achieving full state regulation within a prescribed-time for uncertain nonlinear systems under any initial condition is rather challenging although highly desirable, whereas most existing prescribed-time control results are literally contingent upon infinite feedback gain at the equilibrium. This article presents a new prescribed-time control design method that is able to ensure prescribed-time stability with bounded feedback gain and bounded control action during the entire process of system operation, elegantly circumventing the infinite feedback gain problem. As a nonscaling-based method with structural adaptation is utilized, the proposed control scheme is able to regulate all the states to zero well before the prescribed-time, yet in the presence of time-varying and mismatched structural uncertainties, substantially reducing the numerical computational complexity induced by scaling-based methods. The theoretical results are supported by two numerical simulations.

Original language	English
Pages (from-to)	2580-2589
Number of pages	10
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	55
Issue number	4
Early online date	2 Dec 2024
DOIs	https://doi.org/10.1109/TSMC.2024.3525296
Publication status	Published - Feb 2025
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2025 IEEE.

Funding

This work was supported in part by the Fundamental Research Funds for the Central Universities under Project 2024CDJYXTD007; in part by the Graduate Research and Innovation Foundation of Chongqing China under Grant CYS20069; in part by the National Natural Science Foundation of China under Grant 62403082, Grant 61933012, and Grant 62250710167; in part by Chongqing Top-Notch Young Talents Project under Grant cstc2024ycjhbgzxm0085; in part by the National Key Research and Development Program of China under Grant 2022YFB4701400/4701401; and in part by the Natural Science Foundation of Chongqing under Grant CSTB2023NSCQ-LZX0026.

Keywords

Finite feedback gain
nonlinear system
nonscaling approach
prescribed-time control
structural adaptation

Access to Document

10.1109/TSMC.2024.3525296

Cite this

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abstract = "Achieving full state regulation within a prescribed-time for uncertain nonlinear systems under any initial condition is rather challenging although highly desirable, whereas most existing prescribed-time control results are literally contingent upon infinite feedback gain at the equilibrium. This article presents a new prescribed-time control design method that is able to ensure prescribed-time stability with bounded feedback gain and bounded control action during the entire process of system operation, elegantly circumventing the infinite feedback gain problem. As a nonscaling-based method with structural adaptation is utilized, the proposed control scheme is able to regulate all the states to zero well before the prescribed-time, yet in the presence of time-varying and mismatched structural uncertainties, substantially reducing the numerical computational complexity induced by scaling-based methods. The theoretical results are supported by two numerical simulations.",

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AU - SONG, Yongduan

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AB - Achieving full state regulation within a prescribed-time for uncertain nonlinear systems under any initial condition is rather challenging although highly desirable, whereas most existing prescribed-time control results are literally contingent upon infinite feedback gain at the equilibrium. This article presents a new prescribed-time control design method that is able to ensure prescribed-time stability with bounded feedback gain and bounded control action during the entire process of system operation, elegantly circumventing the infinite feedback gain problem. As a nonscaling-based method with structural adaptation is utilized, the proposed control scheme is able to regulate all the states to zero well before the prescribed-time, yet in the presence of time-varying and mismatched structural uncertainties, substantially reducing the numerical computational complexity induced by scaling-based methods. The theoretical results are supported by two numerical simulations.

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KW - structural adaptation

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

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Prescribed-Time Control With Bounded Feedback Gain : A Nonscaling and Structural Adaptation-Based Approach

Abstract

Bibliographical note

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Keywords

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