Observer-based event-triggered non-PDC control for networked T-S fuzzy systems under actuator failures and aperiodic DoS attacks

This article addresses the observer-based event-triggered non-parallel distribution compensation (PDC) H∞ control issue for networked T-S fuzzy systems (TSFSs) under actuator failures and aperiodic denial-of-service (DoS) attacks. In order to alleviate the interference of network transmission, a fuzzy observer following the asynchronous premise variables as the system is constructed, and we design an observer-based switched fuzzy controller through a non-PDC scheme. And an event-triggered scheme (ETS) is designed to save the limited network bandwidth. Then, based on switching strategy and quantifying the DoS attacks signal indexs, the networked TSFSs can be converted into a new switched augmented system. Moreover, in virtue of piecewise Lyapunov-Krasovskii functional (LKF) method, we propose sufficient conditions to guarantee that the networked TSFS is exponential stability (ES) with a desired H∞ performance. Further, a collaborative design project is presented to obtain triggering parameters, observer gains, and controller gains, and we derive the quantitative relationship between sampling period, triggering parameters, system parameters, actuator fault matrix, and DoS attacks signal indexs. At last, two practical examples are employed to certify the effectiveness and superiority of the presented techniques.