Automatica, Vol.38, No.6, 957-966, 2002
A convex approach to robust H-2 performance analysis
In this paper, we consider the problem of assessing worst-case H-2 performance for MIMO systems and we give an LMI based sufficient condition for robust performance under LTI (not necessarily causal) model uncertainty, having the same complexity as H-infinity conditions for the same problem. In addition, we show that this condition is indeed necessary and sufficient for MISO and SIMO systems under a class of LTI uncertainty, and for MIMO plants under (arbitrarily slow) LTV uncertainty.
Keywords:robust performance;robust H-2