Identification and Control of a Nonlinear System using Neural Networks by Extracting the System Dynamics

Abstract

The present paper discusses an important issue of identification and control of a nonlinear dynamical system using neural network. A novel method based on neural network model has been developed here which makes the task of calculating the system parameters simple in comparison to the methods reported so far for the extraction of system dynamics of a nonlinear system. The updated parameters of the system are obtained using a learning algorithm and the controller is tuned accordingly. Further the system stability is compared with that obtained by existing networks and the simulated results show that our method is superior.

Indexing terms:

• System dynamics
• Neural networks
• Identification
• Control and nonlinear systems

Additional information

Notes on contributors

Madhusudan Singh

Madhusudan Singh is teaching cum research fellow in Instrumentation and Control Engineering Department at NSIT, New Delhi. He has done BTech from Rohilkhand University and MTech from NSIT, New Delhi in 1999 and 2001 respectively. Presently he is doing PhD from Delhi University. He has many national and international publications in conferences and journals. His areas of interest are fizzy logic, neural networks, soft comuting and intelligent control.

Smriti Srivastava

Smriti Srivastava is Assistant Professor and associate head in Instrumentation and Control Engineering Department at NSIT, New Delhi. She has done BE and MTech from MANIT, Bhopal and PhD from IIT Delhi in 2005. She has over 15 years of experience in teaching and many national and international publications in conferences and journals. Her area of interest is fizzy logic, neural network, and nonlinear control.

J R P Gupta

J R P Gupta graduated from Muzaffarpur Institute of Technology (MIT) Muzaffarpur (Bihar) and received his BSc (Engg) in Electrical Engineering in 1972. He completed his PhD degree in the area of Power Electronics from University of Bihar in 1983. He served MIT, Muzaffarpur as faculty member for more than a decade. Then he switched over to RIT Jamshedpur as Assistant Professor of Electrical Engineering in July 1986 and served RIT, Jamshedpur till January 1994. In Feb 1994, he joined Delhi Institute of Technology (now renamed as Netaji Subhas Institute of Technology) as Professor of Instrumentation and Control Engineering. He was Head of Instrumentation and Control Engineering for seven years. He also served as Dean Academic, Dean Students Welfare, and Dean Administration of Netaji Subhas Institute of Technology for several years. Presently Professor Gupta is Head of Department of Computer Engineering and Information Technology at Netaji Subhas Institute of Technology and is also holding the post of Dean, Postgraduate Studies and Member Board of Governors of NSIT. Prof Gupta has guided about 20 MTech theses and 4 PhD theses. He has published about 50 research papers in national and international journals/conferences of repute and participated in a number of conferences and symposiums in India and abroad. His research interests include power electronics, control system, power quality control and system engineering.

M Handmandlu

M Hanmandlu is Professor in Electrical Engineering Department at IIT Delhi. He has done BTech from Usmania University, MTech from REC Warangal and PhD from IIT Delhi. He has over 20 years of experience in teaching graphics, operating system, knowledge based systems. His area of interest includes computer vision, robotics and artificial intelligence.