Control For Energy and Sustainability

EPSRC Programme Grant

[JS09] Jason Z. Jiang and Malcolm C. Smith, Synthesis of Positive-Real Functions with Low-Complexity Series-Parallel Networks, 48th IEEE Conference on Decision and Control, Shanghai, P.R. China, December 16-18, 2009, 7086-7091, Dec 2009


The purpose of this paper is to continue to develop the recently introduced concept of a regular positivereal function and its application to the classification of low complexity two-terminal networks. This paper studies five- and six-element series-parallel networks with three reactive elements and presents a complete characterisation and graphical representation of the realisability conditions for these networks. The results are motivated by an approach to passive mechanical control which makes use of the inerter device.