Title :
Optimal choice of time-scaling factor for linear system approximations using Laguerre models
Author :
Wang, L. ; Cluett, W.R.
Author_Institution :
Dept. of Chem. Eng., Toronto Univ., Ont., Canada
fDate :
7/1/1994 12:00:00 AM
Abstract :
Clowes (1965) illustrated how to select the optimal time-scaling factor for approximations of rational transfer functions using a series expansion of Laguerre functions. The present paper extends this result to approximations for general, L2 stable, linear systems. As a direct application of this extended result, we are able to obtain approximations for irrational transfer functions which minimize the frequency domain error in the L2 sense. Also, we give empirical solutions for the optimal time-scaling factor for approximations of first order plus delay systems which can then be applied to a larger class of overdamped systems
Keywords :
frequency-domain analysis; linear systems; optimisation; parameter estimation; poles and zeros; step response; stochastic processes; transfer functions; L2 stable linear systems; Laguerre models; first order plus delay systems; frequency domain error; irrational transfer functions; linear system approximations; linear time invariant system; optimal time scaling factor; overdamped systems; pole location; rational transfer functions; step response; time constant ratio; Delay effects; Delay estimation; Delay systems; Feedback loop; Frequency domain analysis; Linear approximation; Linear systems; Mathematical model; Transfer functions; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
