On the use of Hermite Polynomials for the Recursive Identification of a Class of Time Varying Linear Distributed Parameter Systems

Abstract

The widespread interest in researches into the area of system identification and parameter estimation during these years has been due to the advent of the digital computer. Digital computers are being using extensively for control applications. It has now become possible to realize complex algorithms through the use of software and the additional interfacing hardware. The majority of such control schemes require an adequate model to describe the underlying process. System identification has been an important tool in characterizing dynamic behaviours. This paper deals with a very popular approach of functional approximation for identifying parameters from input output data for a class systems. The operational properties of Hermite polynomials have been used in formulating an algorithm for identifying a class of time varying linear distributed parameter systems. A numerical example is given for illustration.

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Abraham T Mathew

Abraham T Mathew was born in Kottayam, Kerala in 1959. He received the BSc (Engg) and MSc (Engg) degrees in Electrical Engineering from Kerala University in 1982 and 1985 respectively and the PhD degree in Control Systems from Indian Institute of Technology, Delhi in 1996.

He is currently an Assistant Professor in the Electrical Engineering Dept at Calicut Regional Engineering College. His research interests include identification of continuous-time systems, distributed control systems and computer aided control system design. He has authored over 15 research papers in journals and conferences