Given a linear time-invariant plant Gol(s) with one input and q outputs, where q > 1, a method based on the Routh-Hurwitz Stability Criterion is proposed to obtain a constant tandem matrix F ? Rq, such that FGol(s) is a minimum-phase system. From this solution, the system FGol(s) is represented in state space by {A,B,FC} and a constant output feedback matrix Ko ? R¹ is obtained such that the feedback system {A-BKoC,B,FC} is Strictly Positive Real (SPR). The proposed procedure offers necessary and sufficient conditions for both problems. Initially, the general case, with a generic q, is analyzed. Following, the particular cases q = 2 and q = 3 are studied.
SPR Systems; Minimum Phase; Routh-Hurwitz Criterion; Output Feedback
