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 Rössler system, the availability and feasibility of the proposed design method are explained.

中文翻译：

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具有量化输出信号的模式相关IT2模糊系统的故障估计

本文的目的是分析具有量化输出测量结果的模式相关区间2型模糊系统的故障估计问题。与现有的需要观测器匹配条件的故障估计方法不同，提出了一种新的故障估计技术，其中考虑了一个随机的中间变量，该变量受操作模式信息的影响，在此基础上构造了一个健壮的观测器，以同时估计状态和故障。基于线性矩阵不等式的策略，建立了充分的条件以确保结果系统的状态在概率意义上有界。通过提供三个说明性示例，其中两个是实用模型，即隧道二极管电路系统和Rössler系统，