Adaptive Fuzzy Decentralized Dynamic Surface Control for Switched Large-Scale Nonlinear Systems With Full-State Constraints

Jing Zhang; Shi Li; Choon Ki Ahn; Zhengrong Xiang

doi:10.1109/TCYB.2021.3069461

Adaptive Fuzzy Decentralized Dynamic Surface Control for Switched Large-Scale Nonlinear Systems With Full-State Constraints

Jing Zhang
, Shi Li
, Choon Ki Ahn
, Zhengrong Xiang

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

93 Citations (Scopus)

Abstract

In this study, an adaptive fuzzy decentralized dynamic surface control (DSC) problem is investigated for switched large-scale nonlinear systems with deferred asymmetric and time-varying full-state constraints. Due to the existence of additional general nonlinearities, complicated output interconnections, and full-state constraints, it is difficult to address the above control problem using existing methods. Fuzzy-logic systems are, therefore, utilized to approximate the unknown nonlinear functions, and the DSC technique is adopted to overcome the 'curse of dimensionality' problem. A novel fuzzy adaptive decentralized controller design is presented using the proposed convex combination technique. Furthermore, it is proven that under the proposed controller and state-dependent switching law, all states of the closed-loop system are bounded and deferred asymmetric, and the time-varying full-state constraints are strictly obeyed. The simulation results are presented to demonstrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	10761-10772
Number of pages	12
Journal	IEEE Transactions on Cybernetics
Volume	52
Issue number	10
DOIs	https://doi.org/10.1109/TCYB.2021.3069461
Publication status	Published - 2022 Oct 1

Bibliographical note

Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 61873128; in part by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449;

Publisher Copyright:
© 2013 IEEE.

Keywords

Adaptive fuzzy control
full-state constraints
large-scale nonlinear systems
state-dependent switching law
switched systems

ASJC Scopus subject areas

Software
Control and Systems Engineering
Information Systems
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TCYB.2021.3069461

Cite this

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title = "Adaptive Fuzzy Decentralized Dynamic Surface Control for Switched Large-Scale Nonlinear Systems With Full-State Constraints",

abstract = "In this study, an adaptive fuzzy decentralized dynamic surface control (DSC) problem is investigated for switched large-scale nonlinear systems with deferred asymmetric and time-varying full-state constraints. Due to the existence of additional general nonlinearities, complicated output interconnections, and full-state constraints, it is difficult to address the above control problem using existing methods. Fuzzy-logic systems are, therefore, utilized to approximate the unknown nonlinear functions, and the DSC technique is adopted to overcome the 'curse of dimensionality' problem. A novel fuzzy adaptive decentralized controller design is presented using the proposed convex combination technique. Furthermore, it is proven that under the proposed controller and state-dependent switching law, all states of the closed-loop system are bounded and deferred asymmetric, and the time-varying full-state constraints are strictly obeyed. The simulation results are presented to demonstrate the effectiveness of the proposed method.",

keywords = "Adaptive fuzzy control, full-state constraints, large-scale nonlinear systems, state-dependent switching law, switched systems",

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

note = "Funding Information: This work was supported in part by the National Natural Science Foundation of China under Grant 61873128; in part by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449; Publisher Copyright: {\textcopyright} 2013 IEEE.",

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AU - Xiang, Zhengrong

N1 - Funding Information: This work was supported in part by the National Natural Science Foundation of China under Grant 61873128; in part by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449; Publisher Copyright: © 2013 IEEE.

PY - 2022/10/1

Y1 - 2022/10/1

N2 - In this study, an adaptive fuzzy decentralized dynamic surface control (DSC) problem is investigated for switched large-scale nonlinear systems with deferred asymmetric and time-varying full-state constraints. Due to the existence of additional general nonlinearities, complicated output interconnections, and full-state constraints, it is difficult to address the above control problem using existing methods. Fuzzy-logic systems are, therefore, utilized to approximate the unknown nonlinear functions, and the DSC technique is adopted to overcome the 'curse of dimensionality' problem. A novel fuzzy adaptive decentralized controller design is presented using the proposed convex combination technique. Furthermore, it is proven that under the proposed controller and state-dependent switching law, all states of the closed-loop system are bounded and deferred asymmetric, and the time-varying full-state constraints are strictly obeyed. The simulation results are presented to demonstrate the effectiveness of the proposed method.

AB - In this study, an adaptive fuzzy decentralized dynamic surface control (DSC) problem is investigated for switched large-scale nonlinear systems with deferred asymmetric and time-varying full-state constraints. Due to the existence of additional general nonlinearities, complicated output interconnections, and full-state constraints, it is difficult to address the above control problem using existing methods. Fuzzy-logic systems are, therefore, utilized to approximate the unknown nonlinear functions, and the DSC technique is adopted to overcome the 'curse of dimensionality' problem. A novel fuzzy adaptive decentralized controller design is presented using the proposed convex combination technique. Furthermore, it is proven that under the proposed controller and state-dependent switching law, all states of the closed-loop system are bounded and deferred asymmetric, and the time-varying full-state constraints are strictly obeyed. The simulation results are presented to demonstrate the effectiveness of the proposed method.

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Adaptive Fuzzy Decentralized Dynamic Surface Control for Switched Large-Scale Nonlinear Systems With Full-State Constraints

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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