Aperiodic Sampled-Data-Based Control for Interval Type-2 Fuzzy Systems via Refined Adaptive Event-Triggered Communication Scheme

This article is devoted to event-triggered stabilization for a class of interval type-2 (IT2) fuzzy systems with aperiodic sampling. First, the IT2 Takagi-Sugeno fuzzy model and sampled-data controllers are established subject to mismatched membership functions. Second, considering a nonuniform samp...

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Published inIEEE transactions on fuzzy systems Vol. 29; no. 2; pp. 310 - 321
Main Authors Li, Zhichen, Yan, Huaicheng, Zhang, Hao, Lam, Hak-Keung, Wang, Meng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Adaptive sampling
Adaptive systems
Aperiodic sampling
Control stability
Control systems design
Fuzzy control
Fuzzy systems
Integrated circuit modeling
interval type-2 (IT2) fuzzy systems
Liapunov functions
Numerical stability
refined adaptive event-triggered communication scheme (RAETCS)
Stability criteria
time-dependent Lyapunov function
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Abstract This article is devoted to event-triggered stabilization for a class of interval type-2 (IT2) fuzzy systems with aperiodic sampling. First, the IT2 Takagi-Sugeno fuzzy model and sampled-data controllers are established subject to mismatched membership functions. Second, considering a nonuniform sampling case, a refined adaptive event-triggered communication scheme is proposed in a hierarchy form to dynamically adjust the direction and rate of the event-triggered threshold parameter by state changing trend and relative state error, respectively. Thus, a complete dual-directional regulating mechanism with sensitivity to state variation is reasonably created to give extra flexibility, which is beneficial for a preferable tradeoff between control performance and network resource. Third, considering the practical behaviors on the sampling interval, a novel integral type of time-dependent Lyapunov function is constructed. Then, the stability criterion and the controller design approach are derived. Finally, the numerical examples are provided to demonstrate the effectiveness and advantages of the proposed methods.
AbstractList This article is devoted to event-triggered stabilization for a class of interval type-2 (IT2) fuzzy systems with aperiodic sampling. First, the IT2 Takagi-Sugeno fuzzy model and sampled-data controllers are established subject to mismatched membership functions. Second, considering a nonuniform sampling case, a refined adaptive event-triggered communication scheme is proposed in a hierarchy form to dynamically adjust the direction and rate of the event-triggered threshold parameter by state changing trend and relative state error, respectively. Thus, a complete dual-directional regulating mechanism with sensitivity to state variation is reasonably created to give extra flexibility, which is beneficial for a preferable tradeoff between control performance and network resource. Third, considering the practical behaviors on the sampling interval, a novel integral type of time-dependent Lyapunov function is constructed. Then, the stability criterion and the controller design approach are derived. Finally, the numerical examples are provided to demonstrate the effectiveness and advantages of the proposed methods.
Author Lam, Hak-Keung
Yan, Huaicheng
Zhang, Hao
Wang, Meng
Li, Zhichen
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SubjectTerms Adaptive control
Adaptive sampling
Adaptive systems
Aperiodic sampling
Control stability
Control systems design
Fuzzy control
Fuzzy systems
Integrated circuit modeling
interval type-2 (IT2) fuzzy systems
Liapunov functions
Numerical stability
refined adaptive event-triggered communication scheme (RAETCS)
Stability criteria
time-dependent Lyapunov function
Title Aperiodic Sampled-Data-Based Control for Interval Type-2 Fuzzy Systems via Refined Adaptive Event-Triggered Communication Scheme
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