Abstract
In this paper, we discuss actuator fault and sensor fault detection and isolation (FDI) problems for a class of switched nonlinear systems with external disturbances. First, an augmented descriptor system is constructed where the augmented state vector consists of the original states, the actuator faults and sensor faults. Secondly, a specific transformation, which transforms the descriptor system into a general system, is made and the relationship between the preconditions relative to these two kinds of systems are discussed in detail. Thirdly, based on the equivalent general switching system, a sliding mode observer which is robust to external disturbances and sensitive to both actuator and sensor faults is designed. Furthermore, based on the proposed fault detection method, a fault isolation method which can isolate the actuator faults from sensor faults is developed by using multiple observer design techniques. Finally, a numerical example is given to illustrate the effectiveness of these methods.
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This work is supported by the National Natural Science Foundation of China under Grant 61973236 and 61573256.
Fanglai Zhu was born in Xing’an county, Guangxi province, China, on December 28, 1965. He received his Ph.D. degree in control theory and control engineering from Shanghai Jiao Tong University, Shanghai, China, in 2001. Supported by the Chinese government, he worked with Purdue University, West Lafayette, In, USA, as a Visiting Scholar for six months int the year 2015. Before the year 2007, he was with Guilin University of Electronic Technology(GLIET), GuiLin, China as an associated professor for three years and a professor for two years, respectively. He was honored by the Guangxi local government as one of the 100 Young and Middle-aged Disciplinary Leaders in Guangxi Higher Education Institutions. Because of the excellent research work he has done in GLIET, he wa accepted to join Tongji University(TJU), Shanghai, China, in July 2007 as a Professor. He is the member of Professional Committee of Fault Diagnosis and Safety under Chinese Association of Automation. He was the recipient of the third prize of Natural Science Award of Shanghai Science and Technology in 2011. His research interests include nonlinear observer design, sliding model control, model-based fault diagnosis, fault-tolerate control, and T-S fuzzy models.
Yu Shan was born in Jinghua county, Zhejiang province, China, on June 12, 1991. He received his M.S. degree in the College of Electronics and Information Engineering, Tongji University, Shanghai, China in 2020. His research interest include model-based fault detection and isolation.
Yuyan Tang was born in ZheJiang province, China, in 1996. She is now pursuing a master degree in the College of Electronics and Information Engineering, TongJi University. Her research interests include network control, observer design, fault detection and isolation for T-S fuzzy system, LPV system, nonlinear system, and attack detection for CPS.
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Zhu, F., Shan, Y. & Tang, Y. Actuator and Sensor Fault Detection and Isolation for Uncertain Switched Nonlinear System Based on Sliding Mode Observers. Int. J. Control Autom. Syst. 19, 3075–3086 (2021). https://doi.org/10.1007/s12555-020-0618-z
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DOI: https://doi.org/10.1007/s12555-020-0618-z