Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2018; 16(3): 1474-1481

https://doi.org/10.1007/s12555-017-0687-9

© The International Journal of Control, Automation, and Systems

Practical Implementation of a Factorized All Pass Filtering Technique for Non-minimum Phase Models

Sang-Deok Lee and Seul Jung*

Chungnam National University

Abstract

One of the problems of the inverse model-based control techniques is the stability of the identified inverse model after the estimation process by the recursive least square (RLS) method. One solution is to use the all pass filtering (APF) technique to transform non-minimum phase models into minimum phase models [9]. However, there are several cases not cured by the all pass filtering method when the all pass filter algorithm is implemented on the hardware. In this paper, an improved version of the all pass filtering technique is presented to deal with the non-minimum phase models. The factorized APF (fAPF) technique for non-minimum phase models is presented to suggest a simple solution. A simple method for avoiding the calculation of complex numbers is also presented for the easy implementation. Several examples are given to support the proposal."

Keywords Factorized all-pass-filter, implementation, inverse model, non-minimum phase models

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2018; 16(3): 1474-1481

Published online June 1, 2018 https://doi.org/10.1007/s12555-017-0687-9

Copyright © The International Journal of Control, Automation, and Systems.

Practical Implementation of a Factorized All Pass Filtering Technique for Non-minimum Phase Models

Sang-Deok Lee and Seul Jung*

Chungnam National University

Abstract

One of the problems of the inverse model-based control techniques is the stability of the identified inverse model after the estimation process by the recursive least square (RLS) method. One solution is to use the all pass filtering (APF) technique to transform non-minimum phase models into minimum phase models [9]. However, there are several cases not cured by the all pass filtering method when the all pass filter algorithm is implemented on the hardware. In this paper, an improved version of the all pass filtering technique is presented to deal with the non-minimum phase models. The factorized APF (fAPF) technique for non-minimum phase models is presented to suggest a simple solution. A simple method for avoiding the calculation of complex numbers is also presented for the easy implementation. Several examples are given to support the proposal."

Keywords: Factorized all-pass-filter, implementation, inverse model, non-minimum phase models

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446