Discretization and FIR filtering of continuous linear systems with point delays

Author

De la Sen, Manuel ; Luo, Ningsu

Author_Institution

Departamento de Electricidad y Electron., Univ. del Pais Vasco, Bilbao, Spain

fYear

1993

fDate

15-17 Dec 1993

Firstpage

3835

Abstract

A discrete quasi-autoregressive moving average (QARMA) model and an equivalent impulse response (IR) description are established for linear continuous systems with internal and external point delays which are discretised through a sampler and zero-order-hold device. The QARMA-model is proved to differ from the standard autoregressive moving average (ARMA) models because of its infinite input memory caused by the delays. Based on the IR-model, a finite impulse response (FIR) filter is proposed to approximate the input-output description under exponential stability of the unforced system. Its implementation is discussed by using fast filtering design tools

Keywords

delays; digital filters; filtering and prediction theory; linear systems; stability; stochastic processes; time series; transient response; FIR filtering; continuous linear systems; discrete quasi-autoregressive moving average model; discretization; exponential stability; fast filtering design tools; finite impulse response filter; input-output description; linear continuous systems; point delays; unforced system; zero-order-hold device; Computational efficiency; Continuous time systems; Delay systems; Filtering algorithms; Finite impulse response filter; Linear systems; Nonlinear filters; Sampling methods; Stability; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325940

Filename

325940