Stable H-infinity flow controller design using approximation of FIR filters

ÜNAL H. U., İFTAR A.

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, vol.34, no.1, pp.3-25, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.1177/0142331210378872
  • Journal Name: TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3-25
  • Keywords: flow control, robust control, strong stabilization, time-delay systems, MULTIPLE TIME-DELAYS, COMMUNICATION-NETWORKS, STRONG STABILIZATION, SYSTEMS, PLANTS
  • Anadolu University Affiliated: Yes

Abstract

Stable flow controllers are usually preferred since, compared with unstable flow controllers, they are less sensitive to any modelling imperfections. H-infinity-optimal flow controllers involve finite impulse-response (FIR) filters due to the time delays which are inherent in any practical network. Therefore, design of a stable H-infinity flow controller is a difficult problem due to the infinite dimensionality of these FIR filters. In this work, finite-dimensional approximations of FIR filters are used to design stable H-infinity flow controllers. Three design approaches are considered and, for each approach, a different algorithm to design a stable H-infinity flow controller is developed. Controllers obtained by each agorithm are also compared against each other, as well as against the optimal controller, using an example case.