An optimal RLC realization of a general optimal transfer function due to step inputs

We present a new design and analysis techniques for a linear-time invariant system that has been described by optimal nth-order transfer function of RLC realization. The goal is to reach the optimal response due to step input such that the output response of the system reaches a minimum error. Routh-Table is constructed to evaluate the optimal parameters of transfer function. To maintain the stability of the system without further change we will not optimize the denominator parameters of the transfer function. The general RLC circuit due to general optimal nth-order transfer function is built after several analysis and operations. The values of resisters, inductors and capacitors are obtained through simple mathematical relations. The theoretical results show the effectiveness of optimized structure. Application to position and speed control system are investigated and optimized to reach the desired output in the sense of Routh-table and the optimal transfer function. The presented design is to be used in many circuit analyses such as filters and buffers in electronics systems.