Adaptive Neural Control Design of MIMO Nonaffine Nonlinear Systems with Input Saturation

In this paper, an adaptive neural networks control approach is proposed for a class of multi-input multi-output (MIMO) non-affine nonlinear dynamic systems in the presence of input saturation. The difficulty in controlling the saturated non-affine system is overcome by introducing a system transformation, so as the system can be reformulated as an affine of a canonical system. In the control design, neural networks are used in the online learning of the unknown dynamics and the input saturation is approximated to reduce the influence caused by the nonlinearities, and a robustifying control term is used to compensate for the approximation errors. Compared to the literature, in the proposed approach, the structure of the designed controller is much simpler since the causes for the problem of complexity growing in existing methods are eliminated. The stability analysis of the closed-loop system is investigated by using Lyapunov theory. Numerical simulation illustrated the proposed control scheme with satisfactory results.

[1]  Masahiro Oya,et al.  Stable adaptive fuzzy control of nonlinear systems preceded by unknown backlash-like hysteresis , 2003, IEEE Trans. Fuzzy Syst..

[2]  Abdesselem Boulkroune,et al.  Fuzzy approximation-based indirect adaptive controller for multi-input multi-output non-affine systems with unknown control direction , 2012 .

[3]  Reza Shahnazi,et al.  Observer-based adaptive interval type-2 fuzzy control of uncertain MIMO nonlinear systems with unknown asymmetric saturation actuators , 2016, Neurocomputing.

[4]  Yan Ye,et al.  Adaptive Fuzzy Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems via Sliding-Mode Design , 2014, 2014 Sixth International Conference on Intelligent Human-Machine Systems and Cybernetics.

[5]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[6]  Xiaochuan Chen,et al.  NN-based output feedback adaptive variable structure control for a class of non-affine nonlinear systems: A nonseparation principle design , 2009, Neurocomputing.

[7]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Control of MIMO Nonlinear Systems With Unknown Dead-Zone Inputs , 2013, IEEE Transactions on Fuzzy Systems.

[8]  Abdesselem Boulkroune,et al.  A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones , 2011, Expert Syst. Appl..

[9]  Yan-Jun Liu,et al.  Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems , 2007, Inf. Sci..

[10]  Wei-Yen Wang,et al.  MIMO Robust Control via T-S Fuzzy Models for Nonaffine Nonlinear Systems , 2007, 2007 IEEE International Fuzzy Systems Conference.

[11]  Dong Yue,et al.  Decentralized adaptive neural output feedback control of a class of large-scale time-delay systems with input saturation , 2015, J. Frankl. Inst..

[12]  Farid Khaber,et al.  Direct adaptive fuzzy control of a class of MIMO non-affine nonlinear systems , 2012, Int. J. Syst. Sci..

[13]  Jing Zhou,et al.  Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance , 2011, IEEE Transactions on Automatic Control.

[14]  Min Wang,et al.  Direct adaptive neural control of completely non-affine pure-feedback nonlinear systems with small-gain approach , 2009, 2009 Chinese Control and Decision Conference.

[15]  Petros A. Ioannou.  Robust direct adaptive control , 1984, The 23rd IEEE Conference on Decision and Control.

[16]  R. Shahnazi.  Output feedback adaptive fuzzy control of uncertain MIMO nonlinear systems with unknown input nonlinearities. , 2015, ISA transactions.

[17]  Chin-Ming Hong,et al.  RBF neural network adaptive backstepping controllers for MIMO nonaffine nonlinear systems , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.

[19]  Madan M. Gupta,et al.  Neuro-Control Systems: Theory and Applications , 1993 .

[20]  Shuzhi Sam Ge,et al.  Adaptive Predictive Control Using Neural Network for a Class of Pure-Feedback Systems in Discrete Time , 2008, IEEE Transactions on Neural Networks.

[21]  Chaio-Shiung Chen,et al.  Dynamic structure adaptive neural fuzzy control for MIMO uncertain nonlinear systems , 2009, Inf. Sci..

[22]  Heidar Ali Talebi,et al.  Adaptive Control of Uncertain Nonaffine Nonlinear Systems With Input Saturation Using Neural Networks , 2015, IEEE Transactions on Neural Networks and Learning Systems.