Optimal robust H∞ control

This paper briefly introduces and explores “optimal robust H _∞ control”. The main idea is to obtain optimal guaranteeable H_∞ performance given uncertainty about the plant´s state space parameters. The uncertainty can be either time-varying or time-invariant; both cases are treated separately. An example is presented which illustrates properties of the optimal robust designs. In the example, we note that the worst-case guaranteeable performance levels for the designs are actually achieved by every allowable (constant) parameter value. The paper ends with a conjecture as to why this property may hold in general