Journal article

Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems

Jitao Li, Zhenhua Wang, Yi Shen, Ye Wang

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | TAYLOR & FRANCIS LTD | Published : 2018

Abstract

This paper considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi–Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure, which is more general than the commonly used Luenberger form. To make the generated residual sensitive to faults and robust against disturbances, we develop a finite-frequency fault detection observer based on generalised Kalman–Yakubovich–Popov lemma and P-radius criterion. The design conditions are expressed in terms of linear matrix inequalities. The major merit of the proposed method is that residual evaluation can be easily implemented..

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