Poisson Moment Functionals Research Articles

Identification of lumped linear systems in the presence of unknown initial conditions via Poisson moment functionals

This paper presents a method of including the effect, of unknown initial conditions in the general algorithms for transfer function synthesis recently developed by the authors (Saha and Prasada Rao 1979) via Poisson moment functionals. The proposed technique is of considerable practical importance in problems of parameter identification in which input-output data is available on an arbitrary but active interval of time. The technique is tested with process data containing zero mean noise and is found to be remarkably immune to such noise.

Identification of deterministic time-lag systems

The methods of system identification due to Shinbrot, Perdreauville and Goodson, Fairman and Shen, and Diamessis belong to a class of techniques based on the idea that a linear operation on system equations leads to a set of simultaneous equations solvable for the unknown parameters. These methods have so far been able to treat problems of linear time invariant, time-varying, nonlinear, and distributed parameter systems without lags. This short paper extends the capability of the class of methods to cover time-lag systems. The extension is illustrated with reference to one of the methods that employs Poisson moment functionals. Illustrative examples include linear time invariant, time-varying, and non-linear systems each with a lag.