Root placement with transfer function methods (full state feedback)

Abstract

A design technique for root placement with full state feedback using transfer functions for all-pole plant is presented in this thesis. A number of examples are presented to demonstrate the procedure with this design technique when all the system states are available to be measured and fedback. The design procedure presented is applicable for linear, time invariant (LTI) systems in the s-domain for continuous time. In order to get the roots at desired locations by transfer function methods very high gains are required. Therefore, the design procedure should place the zeros in offset locations. To obtain some guidelines for offsetting the zeros, the root movement as a function of gain, offset zero locations chosen by matrix methods to put the roots at the desired locations, and arbitrarily chosen offset zero locations are observed on numerous system examples. The obtained guidelines are applied to the all-pole plants.