Modern control systems exhibit multiple characteristics such as high complexity, intelligence, and integration, etc., and a large number of configured actuators and sensors are prone to generate faults in complex and ever-changing working environments, resulting in more stringent requirements for the safety of the actual systems. Therefore, stricter requirements are put forward for the safety of the actual systems. Fault detection is very important to detect faults in time to improve the safety of actual systems, and has become a research hotspot [1–3], especially the research on event-triggered fault detection for the T-S fuzzy systems has been deeply carried out. For example, Refs. [4–8], in which in Ref. [4], an interval partitioning approach was proposed to relax the design conditions of the fault detection observers. In Ref. [5], the design conditions of the fault detection observers with less conservatism were also established. Moreover, in Ref. [6], a new fault detection scheme for the polynomial fuzzy systems was designed through the establishment of polynomial fault detection filter, in which the Taylor series is applied in the filter analysis to approximate the membership functions. In [7], \(H_{\infty }\) performance analysis conditions were derived by adopting the Lyapunov function analysis method with the slack matrices, and then the better fault detection performance is achieved.