Robust H2 control of descriptor system with time-varying uncertainty

Considers the robust H² control problem for a descriptor system with time-varying structured uncertainty. We first derive a computational formula of the H² norm for a time-varying descriptor system using a generalized Lyapunov differential equation. Then, a sufficient condition for the robust H² 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 H² control problem for a wider class of plants than the state-space approach