Abstract

Considers the robust H/sup 2/ control problem for a descriptor system with time-varying structured uncertainty. We first derive a computational formula of the H/sup 2/ norm for a time-varying descriptor system using a generalized Lyapunov differential equation. Then, a sufficient condition for the robust H/sup 2/ performance is given in terms of a linear matrix inequality (LMI). Based on this LMI condition, we develop a design method of a descriptor variable feedback controller achieving the robust performance. The present design method can solve the robust H/sup 2/ control problem for a wider class of plants than the state-space approach.

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