Event-triggered fault detection for T-S fuzzy systems with local nonlinear models in finite-frequency domain

Abstract

This article investigates the issue of event-triggered fault detection (FD) filter design for T-S fuzzy systems with local nonlinear models. A novel FD filter subject to the event triggering transmission mechanism is designed in finite-frequency domain. Then, a novel lemma, in which the nonlinear part and the event triggering mechanism are dealt appropriately, is presented to capture the sensitivity and robustness performances. In addition, the slack matrices are utilised to derive optimal filter parameters by solving a convex optimisation problem. The less conservative FD method can get better detection performances than those entire-frequency methods. Finally, an example is introduced to verify the new results.