Average performance control by static output feedback

In this paper robust control design on the basis of average performance design is considered. Necessary conditions for the optimality of an ℋ₂ based average performance criterion are derived in terms of an integral equation and coupled Lyapunov equations. It is furthermore shown that the results obtained are generalisations/extensions of classical results. In an illustrative example we will compute and compare worst case types of controllers to average performance design-based controllers