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

• Published in: IEEE transactions on fuzzy systems Vol. 29; no. 2; pp. 298 - 309
• Main Authors: Sakthivel, Rathinasamy, Kavikumar, Ramasamy, Mohammadzadeh, Ardashir, Kwon, Oh-Min, Kaviarasan, Boomipalagan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Circuit faults; Circuits; Fuzzy systems; Integrated circuit modeling; Intermediate estimator; interval type-2 (IT2) fuzzy systems; Linear matrix inequalities; Markovian parameters; Mathematical analysis; Observers; output quantization; Quantization (signal); stochastic fault; Stochastic processes; Tunnel diodes
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2020.3018509

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.