Switched Fuzzy Control for Nonlinear Systems via a Fuzzy-Rule-Dependent Adaptive Event-Triggered Mechanism

This article explores the design of switched fuzzy controllers for interval type-2 (IT2) fuzzy systems with a fuzzy-rule-dependent adaptive event-triggered mechanism (AETM). First, a novel fuzzy-rule-dependent AETM is proposed for the studied system, which takes into consideration both the information of membership functions (MFs) and fuzzy rules. The corresponding AETM for each fuzzy rule can effectively conserve the limited communication bandwidth by adaptively adjusting the triggering parameter based on the state evolution trends and MF information. Second, an appropriate switched IT2 fuzzy controller is designed that can be switched according to the values of the MFs. Compared to the existing works, the proposed switched IT2 fuzzy controller achieves superior control performance. Subsequently, relaxed stability conditions are developed by considering the information of both the lower and upper MFs, and introducing some slack matrices to cope with parameter uncertainties. The proposed stability condition can stabilize the state of the resulting closed-loop system despite the AETM. Finally, a practical mass-spring-damper example is presented to demonstrate the validity of the presented method.