Simultaneous stabilization with almost disturbance decoupling-uniform rank system (Q580293)

We study the problem of stabilization with almost disturbance decoupling for a family of linear time-invariant finite dimensional uniform-rank plants with a fixed controller. It is shown that, for a family of minimum-phase plants which have the same order of infinite zeros and have high frequency gain matrices satisfying a certain condition, such a fixed controller exists. The restriction on the high frequency gain matrices is equivalent to requiring that the sign of high frequency gain for SISO plants be known.