Abstract
This paper considers the neural adaptive dynamic surface control with partially constrained tracking errors and input saturation for a class of strict-feedback nonlinear systems with uncertain parameters. An error transformation method is utilized to guarantee the prescribed performance control of the partially constrained states, which restricts the partial states located in the prescribed bounds all through. Reduced-order interceptive signals are used to solve the problem of input saturation. Neural networks are utilized to online estimate the uncertainties of the system, and dynamic surface control technique is incorporated to circumvent the complexity explosion problem. The stability of the resulted system and all the signals in the system are proved by the Lyapunov stability theorem. At last, a simulation is presented to demonstrate the effectiveness of this control scheme.
This work is supported jointly by the Fundamental Research Funds for Central Universities (No. 2016RC054) and the State Key Laboratory of Rail Traffic Control and Safety (No. RCS2017ZQ001).
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References
Bechlioulis, C.P., Rovithakis, G.A.: Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems. Automatica 45(2), 532–538 (2009)
Gao, S., Dong, H., Chen, Y., Ning, B., Chen, G., Yang, X.: Approximation-based robust adaptive automatic train control: An approach for actuator saturation. IEEE Trans. Intell. Transp. Syst. 14(4), 1733–1742 (2013)
Gao, S., Dong, H., Lyu, S., Ning, B.: Truncated adaptation design for decentralized neural dynamic surface control of interconnected nonlinear systems under input saturation. Int. J. Control 89(7), 1447–1466 (2016)
Gao, S., Dong, H., Ning, B., Sun, X.: Neural adaptive control for uncertain mimo systems with constrained input via intercepted adaptation and single learning parameter approach. Nonlinear Dyn. 82(3), 1109–1126 (2015)
Han, S.I., Lee, J.M.: Partial tracking error constrained fuzzy dynamic surface control for a strict feedback nonlinear dynamic system. IEEE Trans. Fuzzy Syst. 22(5), 1049–1061 (2014)
He, W., Chen, Y., Yin, Z.: Adaptive neural network control of an uncertain robot with full-state constraints. IEEE Trans. Cybern. 46(3), 620–629 (2016)
Kwan, C., Lewis, F.L.: Robust backstepping control of nonlinear systems using neural networks. IEEE Trans. Syst. Man Cybern.-Part A: Syst. Hum. 30(6), 753–766 (2000)
Li, T., Li, R., Li, J.: Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation. Neurocomputing 74(14), 2277–2283 (2011)
Polycarpou, M., Farrell, J., Sharma, M.: On-line approximation control of uncertain nonlinear systems: issues with control input saturation. In: Proceedings of the 2003 American Control Conference, 2003, vol. 1, pp. 543–548. IEEE (2003)
Swaroop, D., Hedrick, J.K., Yip, P.P., Gerdes, J.C.: Dynamic surface control for a class of nonlinear systems. IEEE Trans. Autom. Control 45(10), 1893–1899 (2000)
Tee, K.P., Ge, S.S., Tay, E.H.: Barrier lyapunov functions for the control of output-constrained nonlinear systems. Automatica 45(4), 918–927 (2009)
Tong, S., Li, Y.: Observer-based fuzzy adaptive control for strict-feedback nonlinear systems. Fuzzy Sets Syst. 160(12), 1749–1764 (2009)
Wen, C., Zhou, J., Liu, Z., Su, H.: Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans. Autom. Control 56(7), 1672–1678 (2011)
Zhang, T., Ge, S.S., Hang, C.C.: Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36(12), 1835–1846 (2000)
Zhou, Q., Shi, P., Lu, J., Xu, S.: Adaptive output-feedback fuzzy tracking control for a class of nonlinear systems. IEEE Trans. Fuzzy Syst. 19(5), 972–982 (2011)
Zhou, Q., Wang, L., Wu, C., Li, H., Du, H.: Adaptive fuzzy control for nonstrict-feedback systems with input saturation and output constraint. IEEE Trans. Syst. Man Cybern.: Syst. 47(1), 1–12 (2017)
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Dong, H., Wang, X., Gao, S., Wang, Y. (2017). Neural Adaptive Dynamic Surface Control of Nonlinear Systems with Partially Constrained Tracking Errors and Input Saturation. 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_3
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DOI: https://doi.org/10.1007/978-3-319-59081-3_3
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