Fault estimation observer design for discrete‐time systems in finite‐frequency domain |
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| Authors: | Ke Zhang Bin Jiang Peng Shi Jingfa Xu |
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| Affiliation: | 1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China;2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;3. School of Electrical and Electronic Engineering, The University of Adelaide, SA 5005, Australia;4. College of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia |
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| Abstract: | 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 © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | fault diagnosis fault estimation finite‐frequency domain discrete‐time systems |
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