Switching-Event-Based Interval Type-2 T-S Variable Direction Fuzzy Control for Time-Delay Systems With Unknown Control Directions

In this article, a switching-event-based interval type-2 (IT2) T-S variable direction fuzzy tracking control strategy is proposed for time-varying delay systems with unknown control directions. To deal with the time-varying delay problem, the T-S fuzzy logic system is used to approximate the unknown nonlinear functions. A novel logic-based switching mechanism is proposed to handle the problem of unknown control directions. At the same time, in order to ensure the stability and tracking performance of the system, an auxiliary controller is designed. The proposed controller not only ensures the tracking performance well, but also reduces the communication burden between the controller and the actuator. In addition, through designing appropriate Lyapunov-Krasoviskii functional for tracking error, the system is proved to be asymptotically stable and the Zeno phenomenon is excluded. Wherein the main parameters discussed are tracking error and time interval for event triggering. Finally, the effectiveness of the proposed method is verified by using both a mathematical model and an actual physical model.