Abstract
This paper develops an adaptive fuzzy control method for accommodating actuator faults in a class of unknown nonlinear systems with unmeasured states. The considered faults are modeled as lock-in-place (stuck at unknown place). With the help of fuzzy logic systems to approximate the unknown nonlinear functions, and K-filters are designed to estimate the unmeasured states. Combining the backstepping technique with the nonlinear fault-tolerant control theory, a novel adaptive fuzzy faults-tolerant control (FTC) approach is constructed. It is proved that the proposed control approach can guarantee that all the signals of the resulting closed-loop system are bounded and the tracking error between the system output and the reference signal converges to a small neighborhood of zero by appropriate choice of the design parameters. Simulation results are provided to show the effectiveness of the control approach.
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Recommended by Editorial Board member Bin Jiang under the direction of Editor Poogyeon Park.
This journal was supported by the National Natural Science Foundation of China (Nos. 61074014, 61203008), and Program for Liaoning Innovative Research Team in University (No. LT 2012013).
Baoyu Huo received her BS degree from Mathematics & Information Science College, Hebei Normal University, Shijiazhuang, China, in 2010. She is now working towards an ME degree in Applied Mathematics, from Liaoning University of Technology, Jinzhou, China. Her current research interests include nonlinear adaptive control, fuzzy control and FTC.
Shaocheng Tong received his BA degree in Mathematics from Jinzhou Normal College, Jinzhou, China, an MA degree in Fuzzy Mathematics from Dalian Marine University, PRC, and a Ph.D. degree in Fuzzy Control from Northeastern University, PRC, in 1982, 1988 and 1997, respectively. Currently, he is a Professor in the Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, PRC. His research interests include fuzzy control theory, nonlinear adaptive control, and intelligent control.
Yongming Li received his BS and MS degrees in Applied Mathematics from Liaoning University of Technology, Jinzhou, China, in 2004 and 2007, respectively. He is currently a lecturer in the Department of Basic Mathematics, Liaoning University of Technology. His current research interests include fuzzy and neural networks control and nonlinear adaptive control.
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Huo, B., Tong, S. & Li, Y. Observer-based adaptive fuzzy fault-tolerant output feedback control of uncertain nonlinear systems with actuator faults. Int. J. Control Autom. Syst. 10, 1119–1128 (2012). https://doi.org/10.1007/s12555-012-0606-z
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DOI: https://doi.org/10.1007/s12555-012-0606-z