Distributed-Delay-Dependent Stabilization for Networked Interval Type-2 Fuzzy Systems With Stochastic Delay and Actuator Saturation
In this article, a distributed-delay-dependent method is proposed to deal with the stabilization for interval type-2 Takagi-Sugeno fuzzy systems subject to stochastic network delay and actuator saturation. To deal with the stochastic feature of network-induced delays, their probability density funct...
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Published in | IEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 5; pp. 3165 - 3175 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.05.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
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Abstract | In this article, a distributed-delay-dependent method is proposed to deal with the stabilization for interval type-2 Takagi-Sugeno fuzzy systems subject to stochastic network delay and actuator saturation. To deal with the stochastic feature of network-induced delays, their probability density function is utilized to establish the distributed delay model, which is more practical than the traditional time-varying network delay model. Meanwhile, in order to enlarge the estimation of the domain of attraction, a polytopic strategy composed of a state vector and a distributed-delay-dependent vector is proposed to treat the saturation nonlinearity. By constructing a distributed-delay-dependent Lyapunov-Krasovskii functional, new and less conservative conditions are achieved to guarantee the stability of the established closed-loop system. Additionally, two simulation examples are carried out to illustrate the advantages of the proposed strategy. |
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AbstractList | In this article, a distributed-delay-dependent method is proposed to deal with the stabilization for interval type-2 Takagi–Sugeno fuzzy systems subject to stochastic network delay and actuator saturation. To deal with the stochastic feature of network-induced delays, their probability density function is utilized to establish the distributed delay model, which is more practical than the traditional time-varying network delay model. Meanwhile, in order to enlarge the estimation of the domain of attraction, a polytopic strategy composed of a state vector and a distributed-delay-dependent vector is proposed to treat the saturation nonlinearity. By constructing a distributed-delay-dependent Lyapunov–Krasovskii functional, new and less conservative conditions are achieved to guarantee the stability of the established closed-loop system. Additionally, two simulation examples are carried out to illustrate the advantages of the proposed strategy. |
Author | Yan, Shen Gu, Zhou Park, Ju H. Xie, Xiangpeng |
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Snippet | In this article, a distributed-delay-dependent method is proposed to deal with the stabilization for interval type-2 Takagi-Sugeno fuzzy systems subject to... In this article, a distributed-delay-dependent method is proposed to deal with the stabilization for interval type-2 Takagi–Sugeno fuzzy systems subject to... |
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SubjectTerms | Actuator saturation Actuators Closed loops Delay Delays distributed delay Feedback control Fuzzy systems interval type-2 (IT2) fuzzy systems Kernel networked systems Power system stability Probability density function Probability density functions Stabilization State vectors stochastic delays Stochastic processes |
Title | Distributed-Delay-Dependent Stabilization for Networked Interval Type-2 Fuzzy Systems With Stochastic Delay and Actuator Saturation |
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