Adaptive model reference control of a class of MIMO discrete-time systems with compensation of nonparametric uncertainty

In this paper, adaptive model reference control is investigated for a class of discrete-time multi-input-multi-output (MIMO) systems. Estimation of both unknown system parameters and nonparametric model uncertainty is constructed. Based on the estimation, a novel adaptive control is proposed which completely compensates the nonparametric model uncertainty. The boundedness of the closed-loop signals are guaranteed and the outputs are made asymptotically track the reference model outputs if there is no external disturbance. Simulation results are presented to demonstrate the effectiveness of the proposed control approach.

[1]  Shuzhi Sam Ge,et al.  Adaptive MNN control for a class of non-affine NARMAX systems with disturbances , 2004, Syst. Control. Lett..

[2]  Tianyou Chai,et al.  Nonlinear multivariable adaptive control using multiple models and neural networks , 2007, Autom..

[3]  Gang Tao,et al.  Adaptive Control Design and Analysis , 2003 .

[4]  Shuzhi Sam Ge,et al.  Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems , 2003, Autom..

[5]  Ying Zhang,et al.  Discrete-time robust backstepping adaptive control for nonlinear time-varying systems , 2000, IEEE Trans. Autom. Control..

[6]  C. Wen,et al.  Robust adaptive control of nonlinear discrete-time systems by backstepping without overparameterization , 2001, Autom..

[7]  David J. Hill,et al.  Adaptive linear control of nonlinear systems , 1990 .

[8]  Frank L. Lewis,et al.  Identification of nonlinear dynamical systems using multilayered neural networks , 1996, Autom..

[9]  Lei Guo,et al.  How much uncertainty can be dealt with by feedback? , 2000, IEEE Trans. Autom. Control..

[10]  Ying Zhang,et al.  Adaptive backstepping control design for systems with unknown high-frequency gain , 2000, IEEE Trans. Autom. Control..

[11]  Shuzhi Sam Ge,et al.  Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties , 2007, 2007 46th IEEE Conference on Decision and Control.

[12]  Graham Goodwin,et al.  Discrete time multivariable adaptive control , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[13]  Xinkai Chen,et al.  Adaptive sliding mode control for discrete-time multi-input multi-output systems , 2006, Autom..