Disturbance Rejection via Adaptive Neural Design for a Class of Non-Minimum Phase Nonlinear Systems

In this paper, the problem of disturbance rejection for a class of non-minimum-phase cascaded nonlinear systems with parameter uncertainty is considered. For the purpose of reducing the reservation from robust control method, we develop an adaptive control design approach based on Lyapunov method and neural network theory. Because the radial-basis function networks (RBF NNs) have the good structure and numerical value property, the adaptive controller has good learning ability for the uncertainty. The simulation shows that under a small control gain, the-gain from to is less than a given value.

[1]  A. Isidori.  Nonlinear Control Systems , 1985 .

[2]  R. Marino,et al.  Global adaptive output-feedback control of nonlinear systems. I. Linear parameterization , 1993, IEEE Trans. Autom. Control..

[3]  Alberto Isidori,et al.  A note on almost disturbance decoupling for nonlinear minimum phase systems , 1996 .

[4]  R. Marino,et al.  Nonlinear H ∞ almost disturbance decoupling , 1994 .

[5]  Shuzhi Sam Ge,et al.  Direct adaptive NN control of a class of nonlinear systems , 2002, IEEE Trans. Neural Networks.

[6]  Marios M. Polycarpou,et al.  Stable adaptive neural control scheme for nonlinear systems , 1996, IEEE Trans. Autom. Control..

[7]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[8]  R. Marino,et al.  Global adaptive output-feedback control of nonlinear systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

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

[10]  J. Helton,et al.  H∞ control for nonlinear systems with output feedback , 1993, IEEE Trans. Autom. Control..

[11]  Wei Lin.  Global Robust Stabilization of Minimum-Phase Nonlinear Systems with Uncertainty , 1995 .

[12]  A. Isidori,et al.  Asymptotic stabilization of minimum phase nonlinear systems , 1991 .

[13]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[14]  A. Isidori.  Global almost disturbance decoupling with stability for non minimum-phase single-input single-output , 1996 .

[15]  Frank L. Lewis,et al.  Neural Network Control Of Robot Manipulators And Non-Linear Systems , 1998 .

[16]  A. Isidori,et al.  H∞ control via measurement feedback for general nonlinear systems , 1995, IEEE Trans. Autom. Control..

[17]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

[18]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[19]  Shuzhi Sam Ge,et al.  Adaptive neural control of uncertain MIMO nonlinear systems , 2004, IEEE Transactions on Neural Networks.

[20]  Lihua Xie,et al.  Robust H∞ control for a class of cascaded nonlinear systems , 1997, IEEE Trans. Autom. Control..

[21]  P. Moylan,et al.  Connections between finite-gain and asymptotic stability , 1980 .

[22]  A. Schaft.  L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control , 1992 .

[23]  Lihua Xie,et al.  Global robust disturbance attenuation and almost disturbance decoupling for uncertain cascaded nonlinear systems , 1999, Autom..