Abstract
This paper discusses the problem of fault-tolerant control against actuator fault, derives the time spent at each steps in fault diagnosis which is called as the time delay due to fault diagnosis and quantitatively analyzes its effect on the faulty system’s performance. A fault diagnosis algorithm is first proposed. The proposed fault tolerant controller is designed to guarantees that all signals in the closed-loop system are semi-globally uniformly ultimately bounded, where the controller singularity is avoided without projection algorithm. What’s more, the analytical expression of the time delay is derived strictly. Further, the quantitative analysis of system performance which is degraded by the time delay is developed, and the conditions that the magnitudes of the faults should be satisfied such that the faulty system controlled by the normal controller remains bounded even stable during the time delay are derived. In addition, the corresponding solution to the adverse effect of the time delay is proposed. Finally, an experimental test shows that the proposed control algorithm has a very reliable efficiency.
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Recommended by Associate Editor Guang-Hong Yang under the direction of Editor Duk-Sun Shim. This work was supported in part by the National Natural Science Foundation of China ( 61473250, 61490703, 61573112), the Australian Research Council (DP140102180, LP140100471), the Natural Science Foundation of Jiangsu Higer Educatuion Institution (14KJB120013), and a Project Funded by the Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions.
Qikun Shen received the BSc degree in Computer Science and Applications from Chinese University of Mining and Technology, Xuzhou, China in 1996, the MSc degree in Computer Science and Applications from Yangzhou University, Yangzhou, China in 2007, and the Ph.D degree in control theorem and control applications from the College of Automation Engineering in Nanjing University of Aeronautics and Astronautics, Nanjing, China in 2015. He is currently an associate professor in College of Information Engineering, Yangzhou University. His research interests include distributed control, consensus control, fault-tolerant control, adaptive control, fuzzy control, neural networks-based control and intelligent control, etc.
Bin Jiang receiveded the Ph.D. degree in Automatic Control from Northeastern University, Shenyang, China, in 1995. He had ever been postdoctoral fellow, research fellow, invited professor and visiting professor in Singapore, France,USA and Canada, respectively. Now he is a Chair Professor of Cheung Kong Scholar Program in Ministry of Education and Dean of College of Automation Engineering in Nanjing University of Aeronautics and Astronautics, China. He currently serves as Associate Editor or Editorial Board Member for a number of journals such as IEEE Trans. On Control Systems Technology; IEEE Trans. On Fuzzy Systems; Int. J. Of Control, Automation and Systems; Nonlinear Analysis: Hybrid Systemsˇcˇnetc. He is a senior member of IEEE, Chair of Control Systems Chapter in IEEE Nanjing Section, a member of IFAC Technical Committee on Fault Detection, Supervision, and Safety of Technical Processes. His research interests include intelligent fault diagnosis and fault tolerant control and their applications.
Peng Shi received the B.Sc degree from Harbin Institute of Technology; the M.E degree from Harbin Engineering University, China, respectively; the Ph.D degree in Electrical Engineering from the University of Newcastle, and the Ph.D degree in Mathematics from the University of South Australia, Australia, respectively. He was awarded the Doctor of Science degree by the University of Glamorgan, UK in 2006, and the Doctor of Engineering degree by the University of Adelaide, Australia in 2015.
He is now a professor in the University of Adelaide, and Victoria University, Australia. He is also an adjunct professor in Harbin Engineering University, China. He was a professor in the University of Glamorgan, UK, and a senior scientist in the Defence Science and Technology Organisation, Australia. His research interests include system and control theory, computational and intelligent systems, and operational research. He has actively served in the editorial board of a number of journals, including Automatica; IEEE Transactions on Automatic Control; IEEE Transactions on Cybernetics, IEEE Transactions on Fuzzy Systems; IEEE Transactions on Circuits and Systems; and IEEE Access. He was the Chair of Control Aerospace and Electronic Systems Chapter, IEEE South Australia Section, and is now a College of Expert member, Australian Research Council. He is a Fellow of the Institute of Electrical and Electronic Engineers; the Institution of Engineering and Technology; and the Institute of Mathematics and its Applications; and serves as an IEEE Distinguished Lecturer.
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Shen, Q., Jiang, B. & Shi, P. Active fault-tolerant control against actuator fault and performance analysis of the effect of time delay due to fault diagnosis. Int. J. Control Autom. Syst. 15, 537–546 (2017). https://doi.org/10.1007/s12555-015-0307-5
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DOI: https://doi.org/10.1007/s12555-015-0307-5