Synthesis of Voltage Transfer Functions with Right Half Plane Zeros by RC Feedback Networks

摘要

The synthesis of voltage transfer functions with complex poles and right half plane (RHP) zeros has been approached previously through the use of active feedback networks by Armstrong and Reza, and Sallen and Key. In their studies, zeros are realized by passive RC networks and are thereby limited in their location in the s plane. Feedback was employed to realize complex poles. In no instance was a zero on the positive real axis realiz¬able.nIn these previous studies, the configuration was limited to proportional or RC passive network feedback. By utilizing a more general feedback func¬tion, one with RHP poles resulting from an unstable minor loop, a zero of W(s) is realized in the RHP. This problem is investigated and design equations are given for system parameters to realize any W(s). A numeri¬cal example illustrates the method. System sensitivity to parameter vari¬ation is briefly investigated and optimum conditions chosen for design.