Abstract: Real-time hybrid simulation (RHS) is a novel aseismic testing technique developed from a pseudo-dynamic test. RHS can consider the rate-dependent mechanical properties of the test specimen and a time delay-compensation in these tests is of a great importance. Based on the previous study on a nearly-complete compensation scheme, this paper shows the principle and performance of the parameter determination of the scheme. In this scheme, the displacement of structural response is over-predicted and sent out in advance to ensure a measured displacement to be achieved earlier than a desired displacement; then a measured force corresponding to the measured displacement that is closest to the desired displacement is fed back to the numerical computation. Numerical simulations show that the scheme may be instable when the equality between the measured displacement and the desired displacement cannot be found during the search progress. In order to determine the past time span for search, all possible cases in tests are analyzed. The possible loops between optimal restoring forces and desired displacements for each group of past time spans are classified. The correctness of results has been confirmed through further numerical simulations and actual tests. The effectiveness of the scheme in terms of an error reduction is also concluded from the test results.