This paper is devoted to synthesizing a stabilizing feedback controller for a linear time-invariant plant with norm-bounded uncertain coefficient matrices so that the corresponding closed-loop system is robustly strictly positive real. Quadratic strict positive real system is defined first. Necessary and sufficient conditions for the system to be quadratic strict positive real are then established. Finally, state-space formulas for the state feedback controller are given in terms of solutions to linear matrix inequalities. The feasibility of the proposed method is confirmed by a numerical example.