Distributed-Delay-Dependent Stabilization for Networked Interval Type-2 Fuzzy Systems With Stochastic Delay and Actuator Saturation

• Published in: IEEE 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
• Language: English
• Published: New York IEEE 01.05.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: 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
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2022.3223148

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.