Title :
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
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;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325940
