A guaranteed fault-estimation algorithm based on interval set inversion observer filtering is proposed for linear discrete-time systems with unknown but bounded disturbance and noise. The minimal conservative interval observer is designed by minimizing the F-norm of the state error. Vector Boolean operations and dimensional operations are used to develop a new interval set inversion algorithm to further contract the guaranteed interval estimation results of the observer. The computational complexity, memory requirements, and accuracy of the proposed algorithm are also analyzed. Finally, simulation examples are provided to verify the efficiency and practicability of the proposed algorithm.
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This work is supported in part by the Natural Science Foundation of Jiangsu Province (BK20221533), the National Key Research and Development Program of China (2020YFB1710600), the Jiangsu Science and Technology Association Young Science and Technology Talents Lifting Project (TJ-2021-006) and the National Natural Science Foundation of China (61802150, 61973138).
Ziyun Wang received his B.Sc. degree in electronic information engineering from Jiangnan University in 2010 and a Ph.D. degree in control science and engineering from Jiangnan University in 2015. His research interests include system modeling and state estimation for practical industrial application.
Mengdi Zhang received her B.Sc. degree in automation from Henan University of Science and Technology, Henan, China, 2019, and is currently pursuing an M.S. degree in Jiangnan University, Jiangsu, China. Her research interests include interval estimation and fault diagnosis.
Yan Wang received her Ph.D. degree in control science and engineering from Nanjing University of Science and Technology in 2006. Her research interests include system modeling and optimal scheduling.
Yuqian Chen is currently pursuing a B.Sc. degree in Jiangnan University, Jiangsu, China. His research interests include filtering-based state estimation and its application on battery status analysis.
Zhicheng Ji received his Ph.D. degree in power electronics and power drives from China University of Mining and Technology in 2004. His research interests include nonlinear control, adaptive control, and system identification.
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Wang, Z., Zhang, M., Wang, Y. et al. Guaranteed Fault-estimation Algorithm Based on Interval Set Inversion Observer Filtering. Int. J. Control Autom. Syst. 20, 3561–3572 (2022). https://doi.org/10.1007/s12555-021-0518-x
- Actuator fault
- interval estimation
- set inversion