Discrete-time adaptive backstepping nonlinear control via high-order neural networks

被引:122
作者
Alanis, Alma Y. [1 ]
Sanchez, Edgar N. [1 ]
Loukianov, Alexander G. [1 ]
机构
[1] IPN, Ctr Invest Estudios Avanzados, Unidad Guadalajar, Guadalajara 45091, Jalisco, Mexico
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2007年 / 18卷 / 04期
关键词
backstepping; discrete-time systems; electric induction motor; extended Kalman filtering (EKF); high-order neural networks (HONNs);
D O I
10.1109/TNN.2007.899170
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper deals with adaptive tracking for discrete-time multiple-input-multiple-output (MIMO) nonlinear systems in presence of bounded disturbances. In this paper, a high-order neural network (HONN) structure is used to approximate a control law designed by the backstepping technique, applied to a block strict feedback form (BSFF). This paper also includes the respective stability analysis, on the basis of the Lyapunov approach, for the whole controlled system, including the extended Kalman filter (EKF)-based NN learning algorithm. Applicability of the scheme is illustrated via simulation for a discrete-time nonlinear model of an electric induction motor.
引用
收藏
页码:1185 / 1195
页数:11
相关论文
共 33 条
[1]  
[Anonymous], 1990, IEEE T NEURAL NETWOR
[2]  
[Anonymous], MODELING ADAPTIVE NO
[3]  
[Anonymous], ADAPTIVE CONTROL REC
[4]   ADAPTIVE-CONTROL OF A CLASS OF NONLINEAR DISCRETE-TIME-SYSTEMS USING NEURAL NETWORKS [J].
CHEN, FC ;
KHALIL, HK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (05) :791-801
[5]  
Cybenko G., 1989, MATH CONTROL SIGNAL, V2, P304
[6]   Simple and conditioned adaptive behavior from Kalman filter trained recurrent networks [J].
Feldkamp, LA ;
Prokhorov, DV ;
Feldkamp, TA .
NEURAL NETWORKS, 2003, 16 (5-6) :683-689
[7]   Adaptive neural network control for a class of MIMO nonlinear systems with disturbances in discrete-time [J].
Ge, SS ;
Zhang, J ;
Lee, TH .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (04) :1630-1645
[8]  
GHAZALI R, 2006, P IASTED ARTIF INTEL, P120
[9]  
Ghosh J., 1993, International Journal of Neural Systems, V3, P323, DOI 10.1142/S0129065792000255
[10]  
Grover R., 1992, INTRO RANDOM SIGNALS