Identification of Slowly Time-Varying System Using Legendre Basis Functions

Author

Asutkar, Vinayak G. ; Patre, Balasaheb M. ; Basu, T.K.

Author_Institution

Dept. of Instrum. Eng., Shri Guru Gobind Singhji Inst. of Eng. & Technol., Nanded, India

fYear

2009

fDate

18-20 Dec. 2009

Firstpage

1

Lastpage

4

Abstract

This paper deals with the identification of slowly time-varying system using Legendre basis functions. Physical phenomena exhibit time-varying behaviour for a number of reasons. To model these systems the models with time-dependent parameters are required. In this paper, the system with slowly varying parameters is considered for identification. The input to the time-varying system is chosen to be PRBS which is a frequency rich signal. Even for noisy case, results are found to be satisfactory.

Keywords

Legendre polynomials; autoregressive processes; binary sequences; parameter estimation; random sequences; time-varying systems; Legendre basis function; parameter estimation; pseudorandom binary sequence; slowly time-varying system identification; time-dependent parameters; time-varying autoregressive with exogenous input model; Aging; Control theory; Frequency; Instruments; Least squares approximation; Parameter estimation; System identification; Temperature dependence; Time invariant systems; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

India Conference (INDICON), 2009 Annual IEEE

Conference_Location

Gujarat

Print_ISBN

978-1-4244-4858-6

Electronic_ISBN

978-1-4244-4859-3

Type

conf

DOI

10.1109/INDCON.2009.5409405

Filename

5409405