In this paper, a numerical optimization method of static output feedback gain for the H
∞ control problem is presented. This is a descent method that gives a monotonically nonincreasing sequence of the
H∞ performance index starting from a stabilizing gain. A feasible direction is calculated using an inner point of a linear matrix inequality derived from the bilinear matrix inequality with respect to the feedback gain and the Lyapunov matrix. A stabilizing problem can be also treated similarly.
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