Department of Applied Mathematics & Physics, Kyoto Univiversity
Technical Report #98005 (February, 1998)
Robust H2 control of descriptor system with time-varying uncertainty
by Kiyotsugu Takaba and Tohru Katayama
For a descriptor system with time-varying structured uncertainty, this
paper considers the robust H2 control probem of finding a
controller satisfying the prescribed H2 performance level
against all possible uncertainty under the constraint of robust
stability. A sufficient condition for the robust H2
performance is derived 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. A numerical example is also included to show the
applicability of the present method.