Abstract
In this paper, a focused time lagged recurrent neural network (FTLRNN) with gamma memory is developed to learn the dynamics of a typical liquid saturated steam heat exchanger process. This highly nonlinear process has been a significant benchmark for non-linear control design purposes, since it is characterized by non-minimum phase behaviour. It appears from the literature review that an optimal neural network (NN) model for the identification of such a highly nonlinear complex dynamical system is not currently available. This paper compares the performance of two NN configurations, namely a well-known Multi Layer Perceptron (MLP) NN model and the proposed FTLRNN model. A standard static backpropagation algorithm with momentum term has been used for both the models. It is shown that the estimated dynamic NN based model comprising of a gamma memory filter followed by a MLP based NN clearly outperforms the static MLP NN in various performance metrics such as mean square error (MSE), normalized MSE and correlation coefficients on the testing datasets. In addition, the output of the proposed NN model closely follows the desired output of the exchanger process for the testing instances. This also means that the most of the information about the rich nonlinear dynamics of the system has been extracted successfully from the training dataset and that the proposed model approximates the given system with reasonable accuracy. It is shown that the suggested dynamic NN model has a remarkable system identification capability for the problem considered in this paper. Dynamic NN model has clearly outperformed the static NN models in respect of the performance measures. The major contribution of this paper is that the FTLRNNs can elegantly be used to learn underlying highly nonlinear dynamics of the system.
Additional information
Notes on contributors
Sanjay V Dudul
Sanjay V Dudul, was born on 28th of August 1964. He received his BE (Electronics & Power Engineering) from Government College of Engineering, Amravati in 1986 with distinction and gold medal, ME (Electronics with Specialization in Computer Applications) from Walchand College of Engineering. Sangli in 1989 with distinction and gold medal, and PhD in Electronics Engineering from Amravati University, Amravati in 2003. Presently, he is working as a Head of the Department of the PG Department of Applied Electronics, Amravati University, Amravati. His fields of interest are Engineering applications of soft computing techniques, Machine learning, System Identification and Signal processing. He has about 38 publications to his credit in national and international journals and Proceedings of the International conferences. He has been invited to work as a reviewer for several papers submitted to the Elsevier International Journal of Applied Soft Computing. He has conducted numerous comprehensive workshops on Nero Computing techniques and their applications at various engineering colleges. He also chaired International as well as National conferences. Presently, he is guiding ten students for their doctoral degree. He is also instrumental in the execution of some UGC projects. He is a member of IEEE Computational Intelligence Society and Fellow of IE (India) and Fellow IETE. He is also a chartered engineer of IE (India). He is a member of ISTE, CSI, ISA, and ISCA.