Adaptive Neural Network Control for a Simple Pendulum Using Backstepping with Uncertainties

An adaptive neural network backstepping control for a class of uncertain nonlinear systems is presented in this paper. Three main issues will be treated: (1) unknown nonlinearities; (2) unknown system parameters; (3) external or internal disturbances. The proposed technique is applied to a simple pendulum. This latter is an unstable system which is perfectly described by a nonlinear model obtained by applying physics laws. A solution has to be found to stabilize pendulum in a desired position. A specific type of artificial neural networks (ANN) called "Multilayer Perceptron (MLP)" is used and simulation results clearly demonstrate the power of this extension.

[1]  Shuzhi Sam Ge,et al.  Adaptive neural network control for strict-feedback nonlinear systems using backstepping design , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[2]  Fu-Chuang Chen,et al.  Adaptive control of nonlinear systems using neural networks , 1992 .

[3]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[4]  A. Benaskeur,et al.  Application of adaptive backstepping to the stabilization of the inverted pendulum , 1998, Conference Proceedings. IEEE Canadian Conference on Electrical and Computer Engineering (Cat. No.98TH8341).

[5]  M. Polycarpou,et al.  Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators , 1998 .

[6]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[7]  Frank L. Lewis,et al.  Multilayer neural-net robot controller with guaranteed tracking performance , 1996, IEEE Trans. Neural Networks.

[8]  I. Kanellakopoulos,et al.  Indirect adaptive output-feedback control of a class on nonlinear systems , 1990, 29th IEEE Conference on Decision and Control.

[9]  Heinz Unbehauen,et al.  ANNNAC-extension of adaptive backstepping algorithm with artificial neural networks , 2000 .

[10]  Ö. Tolga Altınöz.  Adaptive Integral Backstepping Motion Control for Inverted Pendulum , 2007 .

[11]  Dan Wang,et al.  Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form , 2002, Autom..

[12]  Tao Zhang,et al.  Design and performance analysis of a direct adaptive controller for nonlinear systems , 1999, Autom..

[13]  Frank L. Lewis,et al.  Robust backstepping control of nonlinear systems using neural networks , 2000, IEEE Trans. Syst. Man Cybern. Part A.

[14]  Ranjit Kumar Barai,et al.  Robust Adaptive Backstepping Control of Inverted Pendulum on Cart System , 2012 .

[15]  D Elleuch.  Robust Adaptive Controller for Uncertain Nonlinear Systems , 2012 .

[16]  Peter Kuster,et al.  Nonlinear And Adaptive Control Design , 2016 .

[17]  A. K. Majumder,et al.  International Journal of Advanced Science and Technology , 2013 .

[18]  Marios M. Polycarpou,et al.  Modelling, Identification and Stable Adaptive Control of Continuous-Time Nonlinear Dynamical Systems Using Neural Networks , 1992, 1992 American Control Conference.

[19]  Shuzhi Sam Ge,et al.  Adaptive neural network control for strict-feedback nonlinear systems using backstepping design , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).