Fault estimations for uncertain linear continuous-time systems

Authors:
He-Hua Ju;Heng Wang;Yi-Qun Deng;Yu-Long Wang
Affiliations:
College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing, China;College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing, China;College of Information Engineering, Information Engineering University, PLA, Zhengzhou, Henan, China;School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Year:
2009

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Abstract

This paper studies the problem of fault estimations for linear continuous-time systems with polytopic uncertainties. A fault detection filter is designed, which minimizes the disturbance effects on residual output and maximizes the fault effects on residual output. By using the Generalized Kalman-Yakubovich-Popov (GKYP) Lemma, the design problem is formulated to solving a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the method proposed in this paper.