Conference Proceedings
Optimal Fault Detection Observer Design using Excluding Degree
F Xu, Y Wan, Y Wang
Proceedings of the IEEE Conference on Decision and Control | IEEE | Published : 2022
Abstract
This paper proposes a novel optimal gain design method for robust fault detection using set-valued observers. First, a new fault detection performance specification is proposed for set-valued observers based on a new notion named the excluding degree of the origin from a zonotope. Second, a fractional programming problem is formulated to describe fault detection optimality of set-valued observers. Third, optimal fault detection gains are obtained by solving the fractional programming problem. Finally, numerical examples are used to illustrate the effectiveness of the proposed method.
Grants
Awarded by Australian Research Council
Funding Acknowledgements
Thank Yidian Fan for the example simulation and Junbo Tan for several writing suggestions. This work was supported by the National Natural Science Foundation of China (No.62003186), the Natural Science Foundation of Guangdong Province, China (2021A1515012628), the Hubei Provincial Natural Science Foundation for Innovation Groups (No. 2021CFA026), China, the Shenzhen Science and Technology Program, China (No.JCYJ20210324132606015), and the Australian Research Council via the Discovery Early Career Researcher Award (DE220100609).