ANALYSIS OF ROBUST H-2 PERFORMANCE USING MULTIPLIER THEORY

In this paper, the problem of determining the worst-case Hz performanc e of a control system subject to linear time-invariant uncertainties i s considered. A set of upper bounds on the performance is derived, bas ed on the theory of stability multipliers and the solution of an origi nal optimal control problem. The numerical issues raised by the result ing computational problems are discussed, in particular, newly develop ed interior-point convex optimization methods, combined with linear ma trix inequalities, apply very well to the fast and accurate solution o f these problems. The new results compare favorably with prior ones. T he method can ha extended to other types of perturbations.