Affiliations: [a] College of Automation, Harbin University of Science and Technology, Harbin, Heilongjiang, China | [b] College of Automation, Harbin Engineering University, Harbin, Heilongjiang, China | [c] The Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China
Correspondence:
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Corresponding author. Ling Huang, College of Automation, Harbin University of Science and Technology, Harbin, Heilongjiang, China. Tel.: +86 451 86390887; Fax: +86 451 86391652; E-mail: [email protected].
Note: [1] This work was supported in part by National Natural Science Funds for Young Scholar of China under Grants 61304046, China Scholarship Council Fund and Scientific Research Fund of Heilongjiang Provincial Education Department, China (12541118)
Abstract: The T-S fuzzy system with disturbance and fault is considered in the paper, and an observer with disturbance attenuation and fault detection is designed. With the linear matrix inequalities method, a sufficient condition on the existence of the observer with disturbance attenuation is provided, and a sufficient condition on the existence of the observer with fault detection is given, the two performance indices are then combined, and an optimization problem is formulated to solve the two problems simultaneously. A numerical example is given to show the effectiveness of the proposed method.
