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Event-Triggered Fault Detection Observer Design for T–S Fuzzy Systems

This article is concerned with the problem of event-triggered (ET) fault detection (FD) observer design for Takagi–Sugeno (T–S) fuzzy systems. The nonlinear systems considered are presented as T–S models, and the system outputs are selected as the premise variables (PV) of T–S models. New types of observers, namely, switched fuzzy FD observers, are designed, which are switched at different triggering instants based on the online asynchronous premise reconstruction (APR) method. By employing new triggering instants-dependent Lyapunov functions (LFs) established via the idea of event interval partitioning, it is proved that the proposed FD observers can guarantee the stability and desired performance of the systems. Finally, a simulation example is applied to show that the proposed FD scheme can achieve better FD results than the existing design methods.