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

• Published in: IEEE 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
• Language: English
• 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
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2020.3016033

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.