Electrical and mechanical passive network synthesis

Abstract

The context of this paper is the application of electrical circuit synthesis to problems of mechanical control. The use of the electrical- mechanical analogy and the inerter mechanical element is briefly reviewed. Classical results from passive network synthesis are surveyed including Brune's synthesis, Bott-Duffin's procedure, Darlington's synthesis, minimum reactance extraction and the synthesis of biquadratic functions. New results are presented on the synthesis of biquadratic functions which are realisable using two reactive elements and no transformers. © 2008 Springer London.