Publication

Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems

Journal Article (2018)

Journal

International Journal of Systems Science

Pages

3216-3230

Volume

49

Number

15

Doc link

https://doi.org/10.1080/00207721.2018.1535101

File

Download the digital copy of the doc pdf document

Authors

  • Li, Jitao

  • Wang, Zhenhua

  • Shen, Yi

  • Wang, Ye

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 via zonotopic approach. Numerical examples are conducted to demonstrate the proposed method.

Categories

control theory.

Author keywords

Fault detection, Takagi–Sugeno fuzzy systems, finite-frequency domain, observer design, zonotopes

Scientific reference

J. Li, Z. Wang, Y. Shen and Y. Wang. Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems. International Journal of Systems Science, 49(15): 3216-3230, 2018.