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Journal ArticleDOI

Identification of lumped systems Identification of lumped linear time-varying parameter systems via Poisson moment functionals

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TLDR
In this article, the effect of unknown initial conditions of the process is included in the related operational matrices thereby making the algorithm useful in the important practical situation wherein process data is available over an arbitrary but active length of time.
Abstract
Poisson Moment Functionals (PMF) of input and ouput of a Single-Input-Single-Output (SISO) system characterized by a linear differential equation with time varying coefficients, are used in a general algorithm of parameter identification. The method is a generalized version of certain recent algorithms proposed by Saba and Prasada Rao (1979) for fixed parameter systems. The effect of unknown initial conditions of the process is included in the related operational matrices thereby making the algorithm useful in the important practical situation wherein process data is available over an arbitrary but active length of time.

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Citations
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Journal ArticleDOI

Identification of continuous-time systems

TL;DR: Continuous-time model-based system identification as mentioned in this paper is a well-established field in the field of control systems and is concerned with the determination of particular models for systems that are intended for a certain purpose such as control.
Book

Identification of Continuous-Time Systems: Linear and Robust Parameter Estimation

TL;DR: In this article, Allamaraju Subrahmanyam and Ganti Prasada Rao consider continuous-time systems and propose robust methods of estimating the parameters of these systems.
Journal ArticleDOI

A Microprocessor-Based System for On-Line Parameter Identification in Continuous Dynamical Systems

TL;DR: A microprocessor-based unit for online identification of the parameters in linear continuous lumped dynamical systems is proposed which implements an algorithm which uses the so-called Poisson mement functionals of input-output data from the actual process under identification.
Proceedings ArticleDOI

A recursive identification method for continuous time-varying linear systems

TL;DR: In this paper, a method for online identification of continuous time-varying linear systems is proposed based on the block pulse functions, where simple regression equations corresponding to the original differential equation models with time varying parameters can be obtained, and algorithms developed in discrete-time model identification can be applied directly to estimate the time changing parameters without much modification.
References
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Journal ArticleDOI

Identification of deterministic time-lag systems

TL;DR: In this article, the authors extend the capability of the class of methods to cover time-lag systems, which is illustrated with reference to one of the methods that employs Poisson moment functionals.
Journal ArticleDOI

Parameter identification for linear time-varying dynamic processes

TL;DR: In this paper, the authors present a method for determining the parameters of a process whose behaviour can be modelled by a linear differential equation with time-varying coefficients in the form of finite-order polynomials.
Journal ArticleDOI

Time domain synthesis via Poisson moment functionals

TL;DR: In this article, the authors present a method of time-domain synthesis of dynamical systems treating the process signals as distributions or generalized functions, in the manner originally established by L. Schwartz.
Journal ArticleDOI

Parameter identification for a class of multivariable non-linear processes

TL;DR: In this article, a new signal processing technique is presented and applied to the problem of determining the parameters of processes whose dynamic behaviour is characterized by a set of ordinary first-order non-linear differential equations.
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