Design of Some Active Compensators of Feed back Controls

Certain networks capable of producing transfer functions with complex zeros (or complex poles) are presented. The equations for the s-plane loci of the complex singularities are developed and are equations of circles. Working equations are tabulated as an aid to design. Using these in conjunction with Carpenter´s graphical construction, the network can be designed so that the roots of the compensated system lie at a specified location for a specified gain.