Two suboptimum control methods are compared. One is the currently popular state-dependent Riccati equation (SDRE) method and the other is based on the quasi-optimum control method developed by the author in the 1960's. Both methods are applied to a nonlinear dynamic system with a quadratic performance criterion. Both methods include the special case of a "mildly" nonlinear process, giving rise to 4 methods to be compared. After presenting a brief summary of the theory, two applications are developed in which each of the variations of the two methods are applied and the results compared. It is concluded that has advantages and disadvantages, but most problems are amenable to treatment by at least one of them.