A mixed H2/H8 control problem for sampled-data systems

Abstract

A worst-case mixed H2/H8 -optimal control problem is formulated and solved for sampled-data systems. By analogy with continuous and discrete mixed H2/H8 problems, the solution can be formulated in terms of a parametrization of the optimal controller, and an associated parametric optimization problem. Characterizations of the optimal controller are derived both in terms of a set of synthesis equations and in the form of a convex optimization problem. An important property of the mixed H2/H8 cost is its relation to a robust H2 performance measure. The controller synthesis method can therefore be applied to the design of sampled-data controllers which achieve robust H2 performance for uncertain systems.