Fault Estimation for Mode-Dependent IT2 Fuzzy Systems With Quantized Output Signals

The aim of this article is to analyze the problem of fault estimation for mode-dependent interval type-2 fuzzy systems with quantized output measurements. Different from the existing fault estimation methods requiring the observer matching condition, a new fault estimation technique is proposed, wherein a stochastically intermediate variable subject to the information on operating modes is considered, under which a robust observer is constructed to simultaneously estimate the state and faults. Based on the strategy of linear matrix inequality, sufficient conditions are established to ensure that the states of resulting systems are bounded in probability sense. By offering three illustrative examples, in which two of them are practical models, namely, tunnel diode circuit system and Rossler system, the availability and feasibility of the proposed design method are explained.

Automated summary

This article proposes a new method for fault estimation in mode-dependent interval type-2 fuzzy systems with quantized output measurements, which does not require observer matching conditions and considers a stochastically intermediate variable to construct a robust observer. By establishing sufficient conditions based on the strategy of linear matrix inequality, the boundedness of system states in a probabilistic sense is ensured. Through three illustrative examples, including practical models, the availability and feasibility of the proposed method are demonstrated.