Synthesis of positive-real functions with low-complexity series-parallel networks

— 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 lowcomplexity 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.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Jason Zheng Jiang, Malcolm C. Smith
• Keywords: CDC 2009, Control Systems, Lowcomplexity Two-terminal Networks, Regular Positivereal Function, Six-element Series-parallel Networks