Taylor, C. James and Chotai, Arun and Burnham, Keith J. (2011) Controllable forms for stabilising pole assignment design of generalised bilinear systems. Electronics Letters, 47 (7). pp. 437-439. ISSN 0013-5194
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.