Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 25, Issue 9, Pages 1379-1398Publisher
WILEY
DOI: 10.1002/rnc.3150
Keywords
fault diagnosis; fault estimation; finite-frequency domain; discrete-time systems
Funding
- National Natural Science Foundation of China [61304112, 61273171, 61034005]
- China Postdoctoral Science Foundation [2012M521079, 2013T60535]
- Jiangsu Postdoctoral Science Foundation [1201013B]
- Natural Science Foundation of Jiangsu Province [BK20131364]
- Fundamental Research Funds for the Central Universities [NE2014202]
- Australian Research Council [DP140102180]
- National Key Basic Research Program (973) China [2011CB710706, 2012CB215202]
- 111 Project [B12018]
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This paper proposes a framework of fault estimation observer design in finite-frequency domain for discrete-time systems. First, under the multiconstrained idea, a full-order fault estimation observer in finite-frequency domain is designed to achieve fault estimation by using the generalized Kalman-Yakubovich-Popov lemma to reduce conservatism generated by the entire frequency domain. Then, a reduced-order fault estimation observer is constructed, which results in a new fault estimator to realize fault estimation using current output information. Furthermore, by introducing slack variables, improved results on full-order fault estimation observer and reduced-order fault estimation observer design with finite-frequency specifications are obtained such that different Lyapunov matrices can be separately designed for each constraint. Simulation results are presented to illustrate the advantages of the theoretic results obtained. Copyright (c) 2014 John Wiley & Sons, Ltd.
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