Title :
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
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;
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
DOI :
10.1109/INDCON.2009.5409405
