Command-Filter-Based Adaptive Fuzzy Finite-Time Control for Switched Nonlinear Systems Using State-Dependent Switching Method

Shi Li; Choon Ki Ahn; Zhengrong Xiang

doi:10.1109/TFUZZ.2020.2965917

Command-Filter-Based Adaptive Fuzzy Finite-Time Control for Switched Nonlinear Systems Using State-Dependent Switching Method

Shi Li, Choon Ki Ahn, Zhengrong Xiang

School of Electrical Engineering

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

101 Citations (Scopus)

Abstract

The adaptive fuzzy finite-Time tracking control problem of a class of switched nonlinear systems is investigated in this study. Fuzzy logic systems are introduced to handle the unknown nonlinear terms in the considered system. To overcome the drawback in the recursive design method, a finite-Time command filter is employed. By constructing a new state-dependent switching law and adaptive fuzzy control signal, the existing restrictions on subsystems of switched systems are relaxed, all subsystems of the considered system are allowed to be unstabilizable. To avoid the Zeno behavior, a new hysteresis switching law is derived. It is proven that all states of the closed-loop system are bounded in finite time under the proposed fuzzy finite-Time control scheme. Additionally, the proposed control method is extended to a class of more general switched large-scale nonlinear systems. Finally, two examples are provided to verify the developed method's effectiveness.

Original language	English
Article number	8957247
Pages (from-to)	833-845
Number of pages	13
Journal	IEEE Transactions on Fuzzy Systems
Volume	29
Issue number	4
DOIs	https://doi.org/10.1109/TFUZZ.2020.2965917
Publication status	Published - 2021 Apr

Keywords

Adaptive fuzzy control
command filtering
finite-Time control
nonlinear systems
state feedback
switched systems

ASJC Scopus subject areas

Control and Systems Engineering
Computational Theory and Mathematics
Artificial Intelligence
Applied Mathematics

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10.1109/TFUZZ.2020.2965917

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title = "Command-Filter-Based Adaptive Fuzzy Finite-Time Control for Switched Nonlinear Systems Using State-Dependent Switching Method",

abstract = "The adaptive fuzzy finite-Time tracking control problem of a class of switched nonlinear systems is investigated in this study. Fuzzy logic systems are introduced to handle the unknown nonlinear terms in the considered system. To overcome the drawback in the recursive design method, a finite-Time command filter is employed. By constructing a new state-dependent switching law and adaptive fuzzy control signal, the existing restrictions on subsystems of switched systems are relaxed, all subsystems of the considered system are allowed to be unstabilizable. To avoid the Zeno behavior, a new hysteresis switching law is derived. It is proven that all states of the closed-loop system are bounded in finite time under the proposed fuzzy finite-Time control scheme. Additionally, the proposed control method is extended to a class of more general switched large-scale nonlinear systems. Finally, two examples are provided to verify the developed method's effectiveness. ",

keywords = "Adaptive fuzzy control, command filtering, finite-Time control, nonlinear systems, state feedback, switched systems",

author = "Shi Li and Ahn, {Choon Ki} and Zhengrong Xiang",

note = "Funding Information: Manuscript received September 16, 2019; revised November 20, 2019; accepted December 19, 2019. Date of publication January 13, 2020; date of current version March 31, 2021. This work was supported in part by the National Natural Science Foundation of China under Grants 61873128 and 61673219 and in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. (Corresponding authors: Zhengrong Xiang; Choon Ki Ahn.) S. Li and Z. Xiang are with the School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China (e-mail: lishilln@163.com; xiangzr@njust.edu.cn). Publisher Copyright: {\textcopyright} 1993-2012 IEEE.",

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N1 - Funding Information: Manuscript received September 16, 2019; revised November 20, 2019; accepted December 19, 2019. Date of publication January 13, 2020; date of current version March 31, 2021. This work was supported in part by the National Natural Science Foundation of China under Grants 61873128 and 61673219 and in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. (Corresponding authors: Zhengrong Xiang; Choon Ki Ahn.) S. Li and Z. Xiang are with the School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China (e-mail: lishilln@163.com; xiangzr@njust.edu.cn). Publisher Copyright: © 1993-2012 IEEE.

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Command-Filter-Based Adaptive Fuzzy Finite-Time Control for Switched Nonlinear Systems Using State-Dependent Switching Method

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