Multivariable adaptive neural control based on multimodel emulator for nonlinear square MIMO systems

This work describes multivariable adaptive neural control based on multimodel emulator for nonlinear square MIMO systems. Multimodel approach is an interesting alternative and a powerful tool for modelling and emulating complex processes. This paper deals with the identification of nonlinear MIMO systems employing an uncoupled multimodel. Efficiency of this multimodel for systems emulation is illustrated in a multivariable adaptive neural control schemes. Neither initialization parameter and nor online adaptation are required in this case. The effectiveness of the proposed multimodel emulator and the control design are shown through numerical simulations.

[1]  Curtis Collins,et al.  A dynamic recurrent neural network-based controller for a rigid–flexible manipulator system , 2004 .

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

[3]  Fabrice Druaux,et al.  Adaptive control design using stability analysis and tracking errors dynamics for nonlinear square MIMO systems , 2012, Eng. Appl. Artif. Intell..

[4]  J. Ragot,et al.  Estimating the state and the unknown inputs of nonlinear systems using a multiple model approach , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[5]  Fabrice Druaux,et al.  Indirect neural control for plant-wide systems: Application to the Tennessee Eastman Challenge Process , 2010, Comput. Chem. Eng..

[6]  Fabrice Druaux,et al.  Stable adaptive control with recurrent neural networks for square MIMO non-linear systems , 2009, Eng. Appl. Artif. Intell..

[7]  Fabrice Druaux,et al.  STABLE ADAPTIVE CONTROL WITH RECURRENT NEURAL NETWORKS , 2005 .

[8]  Didier Maquin,et al.  NON-LINEAR SYSTEM IDENTIFICATION USING UNCOUPLED STATE MULTIPLE-MODEL APPROACH , 2006 .

[9]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[10]  Ben Abdennour Ridha,et al.  Neural emulator and controller with decoupled adaptive rates for nonlinear systems : application to chemical reactors , 2011 .

[11]  Fabrice Druaux,et al.  Neural emulation applied to chemical reactors , 2010, 2010 7th International Multi- Conference on Systems, Signals and Devices.

[12]  Fabrice Druaux,et al.  Autonomous learning algorithm for fully connected recurrent networks , 2003, ESANN.

[13]  Fabrice Druaux,et al.  Multimodel and neural emulators for non-linear systems: application to an indirect adaptive neural control , 2012, Int. J. Model. Identif. Control..

[14]  Didier Maquin,et al.  State estimation for non-linear systems using a decoupled multiple model , 2008, Int. J. Model. Identif. Control..

[15]  Fabrice Druaux,et al.  Neural network control for large scale systems with faults and perturbations , 2010, 2010 Conference on Control and Fault-Tolerant Systems (SysTol).

[16]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .