Synthesis of optimally sensitive systems

The ideal design objective is an optimally adaptive control which yields an optimal performance index for all values of unknown plant parameters within a given domain. An optimally sensitive (neighboring optimum) control matches the optimally adaptive control to first order in the variations of the unknown plant parameters from a given nominal set of values, In this paper an analytical synthesis procedure for feedback controllers generating the optimally sensitive control is developed. The optimal sensitivity equations are derived for obtaining opthmal sensitivity functions which are the principal quantities involved in the synthesis. A numerical example is included.