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Abstract
The paper presents a recursive algorithm for identification of parameters of a class of time-varying systems via Hermite polynomials. Hermite polynomials belong to the class of complete set of orthogonal polynomials. They possess very useful properties for developing recursive algorithms. These operational and recurrent properties of Hermite polynomials have been used to obtain an algorithm for estimating the parameters from input-output data. Monte-Carlo results show that consistent estimates can be obtained when the measurement noise is white. Higher variance, however, for noise in the simulation has resulted in higher bias.
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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. He received the PhD in Control Systems from Indian Institute of Technology, Delhi in 1996.
He is currently an Assistant Professor in the Electrical Engineering Department of Calicut Regional Engineering College. His research interests include identification of continuous-time systems, distributed control systems and modelling for embedded system design. He has authored over 15 research papers in journals and conferences.