Optimal robustness problems related to transfer function uncertainty have become prominent in the last decade. A basic approach to the problem can be found in the most general treatment and current studies review are in. The principal fact is that the robust controller design by the various uncertainties in the plant transfer function can be reduced to the synthesis on Hꝏ criterion or Hꝏ -optimization. There are two basic approaches to such a synthesis, namely, a factorizational approach and a state-space one.