Observer-Based Adaptive Neural Control for a Class of Nonlinear Non-affine Systems with Unknown Gain Sign

作者: Mohammad M. Arefi , Mohammad R. Jahed-Motlagh

DOI: 10.3182/20110828-6-IT-1002.03362

关键词: Control theoryAdaptive controlNonlinear systemObserver (quantum physics)Sign (mathematics)Artificial neural networkApproximation errorLyapunov functionMathematicsControl theory

摘要: Abstract This paper presents an adaptive neural network output feedback controller for a class of uncertain SISO nonlinear non-affine systems. Since the system states are not required to be available measurement, observer is designed estimate states. Comparing existing results, this method does require priori knowledge about sign control gain direction. To deal with unknown gain, Nussbaum-type function used. By using network, approximated and robustifying term used reduce approximation error compensate effect external disturbance. The stability closed-loop analyzed by Lyapunov method. Theoretical results illustrated through simulation example. Numerical simulations confirm effectiveness proposed

参考文章(21)
Jianming Lian, Stanislaw H Żak, None, Control of Uncertain Systems Handbook of Automation. pp. 199- 219 ,(2009) , 10.1007/978-3-540-78831-7_11
Slim Frikha, Mohamed Djemel, Nabil Derbel, Observer based adaptive neuro-sliding mode control for MIMO nonlinear systems International Journal of Control, Automation and Systems. ,vol. 8, pp. 257- 265 ,(2010) , 10.1007/S12555-010-0211-Y
Yan-Jun Liu, Ya-Qin Zheng, Adaptive robust fuzzy control for a class of uncertain chaotic systems Nonlinear Dynamics. ,vol. 57, pp. 431- 439 ,(2009) , 10.1007/S11071-008-9453-0
Salim Labiod, Thierry Marie Guerra, Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems Fuzzy Sets and Systems. ,vol. 158, pp. 1126- 1137 ,(2007) , 10.1016/J.FSS.2006.11.013
Roger D. Nussbaum, Some remarks on a conjecture in parameter adaptive control Systems & Control Letters. ,vol. 3, pp. 243- 246 ,(1983) , 10.1016/0167-6911(83)90021-X
Tong Shaocheng, Chen Bin, Wang Yongfu, Fuzzy adaptive output feedback control for MIMO nonlinear systems Fuzzy Sets and Systems. ,vol. 156, pp. 285- 299 ,(2005) , 10.1016/J.FSS.2005.06.011
A. Boulkroune, M. Tadjine, M. M’Saad, M. Farza, Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction Fuzzy Sets and Systems. ,vol. 161, pp. 797- 820 ,(2010) , 10.1016/J.FSS.2009.04.011
Yan-Jun Liu, Zhi-Feng Wang, Adaptive fuzzy controller design of nonlinear systems with unknown gain sign Nonlinear Dynamics. ,vol. 58, pp. 687- 695 ,(2009) , 10.1007/S11071-009-9510-3
Yan-Jun Liu, Ya-Qin Zheng, Adaptive fuzzy tracking control for a class of uncertain nonlinear systems chinese control and decision conference. pp. 996- 999 ,(2009) , 10.1109/CCDC.2009.5191913
Yan-Jun Liu, Yuan-Xin Li, Adaptive fuzzy output-feedback control of uncertain SISO nonlinear systems Nonlinear Dynamics. ,vol. 61, pp. 749- 761 ,(2010) , 10.1007/S11071-010-9684-8