System identification is a well-established field. It is concerned with the determination of particular models for systems that are intended for a certain purpose such as control. Although dynamical systems encountered in the physical world are native to the continuous-time domain, system identification has been based largely on discrete-time models for a long time in the past, ignoring certain merits of the native continuous-time models. Continuous-time-model-based system identification techniques were initiated in the middle of the last century, but were overshadowed by the overwhelming developments in discrete-time methods for some time. This was due mainly to the 'go completely digital' trend that was spurred by parallel developments in digital computers. The field of identification has now matured and several of the methods are now incorporated in the continuous time system identification (CONTSID) toolbox for use with Matlab. The paper presents a perspective of these techniques in a unified framework.

/pdf/identification-of-continuous-time-systems-8keqal4gq8.pdf

Identification of continuous-time systems

Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

A review of identification in continuous-time systems

Numerical solution of integral equations system of the second kind by block-pulse functions

Numerical solution of stochastic Volterra integral equations by a stochastic operational matrix based on block pulse functions

I Piecewise constant orthogonal basis functions.- II Operations on square integrable functions in terms of PCBF spectra.- III Analysis of lumped continuous linear systems.- IV Analysis of time delay systems.- V Solution of functional differential equations.- VI Analysis of non-linear and time-varying systems.- VII Optimal control of linear lag-free systems.- VIII Optimal control of time-lag systems.- IX Solution of partial differential equations (PDE) [W55].- X Identification of continuous lumped parameter systems.- XI Parameter identification in distributed systems.

Ganti Prasada Rao

Papers

Piecewise Constant Orthogonal Functions and Their Application to Systems and Control