Incipient fault prediction based on generalised correntropy filtering for non-Gaussian stochastic systems

Abstract

In this paper, the problem of incipient fault prediction is studied for the nonlinear stochastic system with non-Gaussian noises and actuator fault. The incipient fault is expressed as a nonlinear function with two unknown parameters (the occurring time of fault and the incipient fault evolution rate). Based on the generalised correntropy criterion, the fault detection filter is proposed, and then the occurring time of fault can be obtained. Once the fault is detected, the unknown fault evolution rate is estimated by designing a new generalised correntropy filter-based. According to the estimated fault occurrence time and the estimated fault evolution rate, the trend of incipient fault can be predicted. Finally, the simulation results of a single-link robotic flexible manipulator system are given to show that the proposed method is validated.

Keywords:

• Incipient fault prediction
• non-Gaussian stochastic systems
• generalised correntropy criterion
• filter

Acknowledgements

The authors would like to thank the financial support received from Chinese NSFC grant 61973278, 61374128.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The authors want to thank National Natural Science Foundation of China grant 61973278 and basic research projects of key scientific research projects of colleges and universities in Henan 21zx007 for the support.

Notes on contributors

Lifan Li

Lifan Li received the B.S. degree from the Zhengzhou University of Light Industry, in 2015. She is currently pursuing the Ph.D. degree with Zhengzhou University. Her research interests include fault diagnosis and fault tolerant control for stochastic distribution systems and nonlinear systems.

Lina Yao

Lina Yao received the Ph.D. degree in control theory and control engineering from the Institute of Automation, Chinese Academy of Sciences,Beijing, China, in 2006. From September 2007 to March 2008, she was a Research Fellow with the University of Science and Technology of Lille, France. She is currently a Professor with the School of Electrical Engineering, Zhengzhou University, China. Her research interests include fault diagnosis and fault tolerant control of dynamic systems, stochastic distribution control,and their applications.