A convex approach to robust H2 performance analysis

Authors:
M. Sznaier;T. Amishima;P. A. Parrilo;J. Tierno
Affiliations:
Department of Electrical Engineering, Penn State University, University Park, PA 16802, USA;Department of Electrical Engineering, Penn State University, University Park, PA 16802, USA;Department of Control and Dynamical Systems, MS 107-81, Caltech, Pasadena, CA 91125-8100, USA;Honeywell Technology Center, MN65-2810, 3660 Technology Dr., Minneapolis, MN 55418, USA
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Abstract

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"~ 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.