Memory-Based Control with Event-Triggered Protocol for interval type-2 fuzzy network system under fading channel (2412.06401v1)

Abstract: To address the challenges in networked environments and control problems associated with complex nonlinear uncertain systems, this paper investigates the design of a membership-function-dependent (MFD) memory output-feedback (MOF) controller for interval type-2 (IT2) fuzzy systems under fading channels, leveraging a memory dynamic event-triggering mechanism (MDETM). To conserve communication resources, MDETM reduces the frequency of data transmission. For mitigating design conservatism, a MOF controller is employed. A stochastic process models the fading channel, accounting for phenomena such as reflection, refraction, and diffraction that occur during data packet transmission through networks. An actuator failure model addresses potential faults and inaccuracies in practical applications. Considering the impacts of channel fading and actuator failures, the non-parallel distributed compensation (non-PDC) strategy enhances the robustness and anti-interference capability of the MDETM MOF controller. By fully exploiting membership function information, novel MFD control design results ensure mean-square exponential stability and $\mathscr H_{\infty}$ performance $\gamma$ for the closed-loop system. Simulation studies validate the effectiveness of the proposed approach.