RHONN identifier for unknown nonlinear discrete-time delay systems

This work proposes a discrete-time nonlinear neural identifier based on a Recurrent High Order Neural Network (RHONN) trained with an Extended Kalman Filter (EKF) based algorithm for discrete-time deterministic multiple input multiple output (MIMO) systems with unknown dynamics and time-delay. Applicability of the proposed identifier is shown via experimental results performed under the presence of unknown external and internal disturbances as well as unknown time-delays.

[1]  Niels Kjølstad Poulsen,et al.  Neural Networks for Modelling and Control of Dynamic Systems: A Practitioner’s Handbook , 2000 .

[2]  S. Hyakin,et al.  Neural Networks: A Comprehensive Foundation , 1994 .

[3]  Pablo Rabanal,et al.  Advances in Computational Intelligence , 2012, Communications in Computer and Information Science.

[4]  Shuzhi Sam Ge,et al.  Adaptive neural network control of nonlinear MIMO time-delay systems with unknown bounds on delay functionals , 2005, Proceedings of the 2005, American Control Conference, 2005..

[5]  Jagath C. Rajapakse,et al.  Neural Information Processing: Research and Development , 2004 .

[6]  Manolis A. Christodoulou,et al.  Adaptive Control with Recurrent High-order Neural Networks , 2000, Advances in Industrial Control.

[7]  Xuemei Ren,et al.  Identification of Nonlinear Systems With Unknown Time Delay Based on Time-Delay Neural Networks , 2007, IEEE Transactions on Neural Networks.

[8]  Guido Herrmann,et al.  Nonlinear observer design for discrete MIMO systems with unknown time delay , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[9]  Alexander G. Loukianov,et al.  Discrete-Time High Order Neural Control - Trained with Kaiman Filtering , 2010, Studies in Computational Intelligence.

[10]  Pham Huu Anh Ngoc.  Novel Criteria for Exponential Stability of Nonlinear Differential Systems With Delay , 2015, IEEE Transactions on Automatic Control.

[11]  Jim Kurose,et al.  Computer Networking: A Top-Down Approach , 1999 .

[12]  Alexander G. Loukianov,et al.  Discrete-time Neural Network Control for a Linear Induction Motor , 2008, 2008 IEEE International Symposium on Intelligent Control.

[13]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[14]  Benjamin Schrauwen,et al.  One step Backpropagation Through Time for learning input mapping in reservoir computing applied to speech recognition , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.

[15]  Hao Xu,et al.  Neural network based finite horizon stochastic optimal controller design for nonlinear networked control systems , 2013, The 2013 International Joint Conference on Neural Networks (IJCNN).

[16]  Qing-Chang Zhong,et al.  Robust Control of Time-delay Systems , 2006 .

[17]  Magdi S. Mahmoud.  Switched Time-Delay Systems: Stability and Control , 2010 .

[18]  Jin-shou Yu,et al.  Stability Analysis for Discrete Time-Delay Systems , 2008, 2008 Fourth International Conference on Networked Computing and Advanced Information Management.

[19]  S. Haykin.  Kalman Filtering and Neural Networks , 2001 .

[20]  Isaac Chairez Oria,et al.  Continuous neural identifier for uncertain nonlinear systems with time delays in the input signal , 2013, The 2013 International Joint Conference on Neural Networks (IJCNN).

[21]  Yongduan Song,et al.  Cooperative Tracking Control of Nonlinear Multiagent Systems Using Self-Structuring Neural Networks , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Cornelius T. Leondes,et al.  Neural network systems techniques and applications , 1998 .

[23]  Cornelius T Leondes,et al.  Neural network systems techniques and applications : advances in theory and applications , 1998 .

[24]  Xiaoyi Li,et al.  Control design based on state observer for nonlinear delay systems , 2010, 2010 Chinese Control and Decision Conference.

[25]  Alma Y. Alanis,et al.  Real-time discrete neural identifier for a linear induction motor using a dSPACE DS1104 board , 2013, The 2013 International Joint Conference on Neural Networks (IJCNN).

[26]  Sun Yi,et al.  Time-Delay Systems: Analysis and Control Using the Lambert W Function , 2010 .

[27]  J. Grizzle,et al.  The Extended Kalman Filter as a Local Asymptotic Observer for Nonlinear Discrete-Time Systems , 1992, 1992 American Control Conference.

[28]  Hao Xu,et al.  Stochastic Optimal Controller Design for Uncertain Nonlinear Networked Control System via Neuro Dynamic Programming , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[29]  Nikolaos Bekiaris-Liberis,et al.  Control of nonlinear delay systems: A tutorial , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[30]  Guo-Xing Wen,et al.  Adaptive Consensus Control for a Class of Nonlinear Multiagent Time-Delay Systems Using Neural Networks , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Li Fu,et al.  The Research Survey of System Identification Method , 2013, 2013 5th International Conference on Intelligent Human-Machine Systems and Cybernetics.

[32]  M. Mahmoud.  Robust Control and Filtering for Time-Delay Systems , 2000 .