Event-triggered fault detection for Takagi-Sugeno fuzzy systems via an improved matching membership function approach

Abstract

This paper investigates the design of event-triggered (ET) fault detection (FD) observers for Takagi-Sugeno (T-S) fuzzy systems. In order to provide design flexibility, the membership functions (MFs) of the residual generator are different from those of the system and the observer. Unlike the existing asynchronous premise strategies that are designed based on inequality constraints between the MFs in the systems and those in the residual generators, an improved matching MF method is proposed, and the equality constraints are established under the proposed technical framework, such that the MFs of the residual generator can be obtained directly without calculation. By applying the constraints of the fuzzy weighting parameters and the differences of each MFs, new criteria in terms of linear matrix inequalities (LMIs) are derived to ensure the desired performance of the FD system. It is shown that the proposed method can overcome the shortcomings of the existing results. Finally, the effectiveness of the proposed FD scheme is verified by an example.