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 inIEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 5; pp. 3165 - 3175
Main Authors Yan, Shen, Gu, Zhou, Park, Ju H., Xie, Xiangpeng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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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.
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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