Abstract
In this paper, the problem of fault-tolerant control (FTC) is investigated for a class of nonlinear single input and single output (SISO) systems in the non-strict feedback form. The considered system possess unknown nonlinear functions, unmeasured states, unknown time-varying delays, unknown control direction and actuator faults (bias and gain faults). Neural networks (NNs) are adopted to approximate the unknown nonlinear functions. Then, a state observer is constructed to solve the problem of unmeasured states. In the frame of adaptive backstepping design technique, by combining with Nussbaum gain function and Lyapunov-Krasobskii functional theory, an adaptive NNs output feedback FTC method is developed. It is shown that all signals in the closed-loop system are proved to be bounded, and the system output can follow the given reference signal well.
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References
Kwan, C., Lewis, F.L.: Robust backstepping control of nonlinear systems using neural networks. IEEE Syst. Man Cybern. Part A 30, 753–766 (2000)
Kuljaca, O., Swamy, N., Lewis, F.L., Kwan, C.: Design and implementation of industrial neural network controller using backstepping. IEEE Trans. Ind. Electron. 50, 193–201 (2003)
Polycarpou, M., Zhang, X.D., Xu, R., Yang, Y.L., Kwan, C.: A neural network based approach to adaptive fault tolerant flight control. In: Intelligent Control, Proceedings of the 2004 IEEE International Symposium, pp. 61–66 (2004)
Chen, M., Tao, G.: Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone. IEEE Trans. Cybern. 46, 1851–1862 (2016)
Shen, Q.K., Jiang, B., Cocquempot, V.: Adaptive fuzzy observer-based active fault-tolerant dynamic surface control for a class of nonlinear systems with actuator faults. IEEE Trans. Fuzzy Syst. 22, 338–349 (2014)
Tong, S.C., Huo, B.Y., Li, Y.M.: Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures. IEEE Trans. Fuzzy Syst. 22, 1–15 (2014)
Chen, B., Liu, X.P., Ge, S.S., Lin, C.: Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach. IEEE Trans. Fuzzy Syst. 20, 1012–1021 (2012)
Wang, H.Q., Chen, B., Liu, K.F., Liu, X.P., Lin, C.: Adaptive neural tracking control for a class of nonstrict-feedback stochastic nonlinear systems with unknown backlash-like hysteresis. IEEE Trans. Neural Netw. Learn. Syst. 25, 947–958 (2014)
Li, Y.M., Tong, S.C.: Adaptive fuzzy output-feedback stabilization control for a class of switched nonstrict-feedback nonlinear systems. IEEE Trans. Cybern. doi:10.1109/TCYB.2016.2536628
Chen, B., Zhang, H.G., Lin, C.: Observer-based adaptive neural network control for nonlinear systems in nonstrict-feedback form. IEEE Trans. Neural Netw. Learn. Syst. 27, 89–98 (2016)
Li, Y.M., Tong, S.C.: Adaptive neural networks decentralized FTC design for nonstrict-feedback nonlinear interconnected large-scale systems against actuator faults. IEEE Trans. Neural Netw. Learn. Syst. doi:10.1109/TNNLS.2016.2598580
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Nos. 61573175, 61572244) and Liaoning BaiQianWan Talents Program.
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Dong, G., Li, Y., Meng, D., Sun, F., Bai, R. (2017). Adaptive NNs Fault-Tolerant Control for Nonstrict-Feedback Nonlinear Systems. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10262. Springer, Cham. https://doi.org/10.1007/978-3-319-59081-3_2
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DOI: https://doi.org/10.1007/978-3-319-59081-3_2
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