Abstract
The problem of actuator fault estimation for a kind of nonlinear discrete time varying (NDTV) systems is investigated. Norm bounded disturbance is considered and the nonlinear function is assumed to fulfill a Lipschitzlike condition. Fault estimation is accomplished by a novel nonlinear state observer and a dynamic post filter. First, the nonlinear state observer is designed with the help of the small gain theorem and the H∞ filtering approach. Then for the error dynamic of the observer, the dynamic post filter is constructed to estimate the fault. In this scheme, no approximation of the nonlinear function is taken, and the problem of infeasibility resulting from multiple synthesis conditions is considerably improved. Simulation studies are carried out with a nonlinear unmanned aerial vehicle (UAV) model. The turbulent condition is considered and the feed back control loop is employed. Simulation results show that the proposed method can accomplish the estimation work, while the residual evaluation based approach fails to detect the fault.
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Recommended by Associate Editor M. Chadli under the direction of Editor Jessie (Ju H.) Park. This work was supported in part by the National Natural Science Foundation of China under Grant 61873149, 61733009, 61703244, the Research Fund for the Taishan Scholar Project of Shandong Province of China, and the China Postdoctoral Science Foundation.
Hai Liu received his Ph.D. degree in navigation instrument and system technology from Beihang University, Beijing, China, in 2018. He is currently a research engineer in Information Science Academy of China Electronics Technology Group Corporation, Beijing, China. His research interests include model-based fault-diagnosis and application, unmanned systems, and multi-agent cooperation.
Maiying Zhong received her Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 1999. From 2002 to July 2008, she was a Professor in the School of Control Science and Engineering, Shandong University. From 2006 to 2007, she was a Postdoctoral Researcher Fellow with the Central Queensland University, Australia. From 2009 to 2016, she was a Professor in the School of Instrument Science and Opto-Electronics Engineering, Beihang University. In March 2016, she joined Shandong University of Science and Technology, Qingdao, China, where she is currently a Professor in the College of Electrical Engineering and Automation. Her research interests include model-based fault-diagnosis, fault-tolerant systems, and their applications.
Yang Liu received his B.E. and Ph.D. degrees in automation from Tsinghua University, Beijing, China, in 2010 and 2016, respectively. He is currently a Postdoctoral Research Fellow with the College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China. His research interests include robust optimal filtering, closed-loop systems, and fault detection and diagnosis for modern systems.
Zuqiang Yang received his Ph.D. from Zhejiang University in Navigation, Guidance, and Control. Since 2016, he has become a research engineer in Information Science Academy of China Electronics Technology Group Corporation, Beijing, China. His interested research areas have been directed to bionic engineering, multiagent cooperation, machine learning, etc.
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Liu, H., Zhong, M., Liu, Y. et al. An Observer and Post Filter Based Scheme for Fault Estimation of Nonlinear Systems. Int. J. Control Autom. Syst. 18, 1956–1964 (2020). https://doi.org/10.1007/s12555-019-0037-1
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DOI: https://doi.org/10.1007/s12555-019-0037-1