Stable H-infinity flow controller design using approximation of FIR filters
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, vol.34, no.1, pp.3-25, 2012 (SCI-Expanded, Scopus)
- 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.