Abstract
In this paper, an adaptive output feedback neural control strategy is investigated for a class of nonlinear systems with states and input unmodeled dynamics based on dynamics surface control method. States unmodeled dynamics is described by introducing a kind of Lyapunov function, and the nonlinear input unmodeled dynamics is dealt with by using a normalization signal. The unknown control gain sign is solved with the help of Nussbaum function. By the theoretical analysis, all the signals in the closed-loop system are proved to be semi-globally uniformly ultimately bounded. A numerical example is provided to illustrate the effectiveness of the proposed approach.
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References
Swaroop D, Hedrick JK, Yip PP et al (2000) Dynamic surface control for a class of nonlinear systems. IEEE Trans Autom Control 45(10):1893–1899
Wang D, Huang J (2005) Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict feedback form. IEEE Trans Neural Networks 16(1):195–202
Chen WS, Jiao LC (2010) Adaptive tracking for periodically time-varying and nonlinearly parameterized systems using multilayer neural networks. IEEE Trans Neural Networks 21(2):345–351
Zhang TP, Ge SS (2008) Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form. Automatica 44(7):1895–1903
Liu YJ, Wang W (2012) Adaptive output feedback control of uncertain nonlinear systems based on dynamic surface control technique. Int J Robust and Nonlinear Control 22:945–958
Wang Q, Zhang TP (2009) Adaptive fuzzy output feedback control using dynamic surface control. Systems Engineering and Electrics 31(3):647–652 (in Chinese)
Jiang ZP, Praly L (1998) Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica 34(7):825–840
Jiang ZP, Hill DJ (1999) A robust adaptive backstepping scheme for nonlinear systems with unmodeled dynamics. IEEE Trans Autom Control 44(9):1705–1711
Xia XN, Zhang TP (2014) Adaptive Output Feedback Control for Uncertain Nonlinear Systems with Unknown Dead-Zone Input. Proceedings of the 33rd Chinese Control Conference. Nanjing, China, pp 8729–8734
Tong SC, Li YM (2009) Fuzzy adapitive robust control for a class of nonlinear system with unmodeled dynamics. Control and Decision 24(3):417–422 (in Chinese)
Zhang TP, Gao ZY (2013) Adaptive dynamic surface control with uncertain dynamics. Control and Decision 28(10):1541–1546 (in Chinese)
Zhang XY, Lin Y (2011) Adaptive tracking control for a class of pure-feedback nonlinear systems including actuator hysteresis and dynamic uncertainties. IET Control Theor Appl 5(16):1868–1880
Krstic M, Sun J, Kokotovic PV (1995) Robust control of strict and output feedback system with unmodeled dynamics. In: Proceedings of the 34 IEEE Conference on Decision and Control, New Orleans, USA, pp 2257-2262
Krstic M, Sun J, Kokotovic PV (1996) Robust control of nonlinear systems with input unmodeled dynamics. IEEE Trans Autom Control 41(6):913–920
Arcak M, Kokotovic P (2000) Robust nonlinear control of systems with input unmodeled dynamics. Syst Control Lett 41(2):115–122
Hou MZ, Wu AG, Duan GR (2008) Robust output feedback control for a class of nonlinear systems with input unmodeled dynamics. Int J Automation and Computing 5(3):307–312
Ge SS, Hang CC, Le TH, Zhang T (2001) Stable Adaptive Neural Network Control. Kluwer Academic, Boston
Acknowledgments
This work was partially supported by the National Natural Science Foundation of China (61174046 & 61473250).
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Xia, X., Zhang, T., Wang, Q. (2015). Adaptive Output Feedback Control of Nonlinear Systems with States and Input Unmodeled Dynamics. In: Deng, Z., Li, H. (eds) Proceedings of the 2015 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46463-2_39
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DOI: https://doi.org/10.1007/978-3-662-46463-2_39
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