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Controllable forms for stabilising pole assignment design of generalised bilinear systems

Research output: Contribution to journalJournal article

Published

Journal publication date31/03/2011
JournalElectronics Letters
Journal number7
Volume47
Number of pages3
Pages437-439
Original languageEnglish

Abstract

Bilinear structures are able to represent nonlinear phenomena more accurately than linear models, and thereby help to extend the range of satisfactory control performance. However, closed loop characteristics are typically designed by simulation and stability is not guaranteed. In this reported work, it is shown how bilinear systems are a special case of the more general state dependent parameter (SDP) model, which can subsequently be utilised to design stabilising feedback controllers using a special form of nonlinear pole assignment. To establish the link, however, an important generalisation of the SDP pole assignment method is developed.