The paper deals with the H∞ control problem for active vehicle suspension systems with actuator time delay and vehicle inertial parameter uncertainties.The time delay for the actuator is assumed as uncertain time-invariant but has a known constant bound.Three main performance requirements for advanced vehicle suspensions (ride comfort,road holding,and suspension deflection) are considered by constructing an appropriate state feedback H∞ controller to provide a trade-off between these requirements.The feasible solutions can be obtained by linear matrix inequalities (LMIs) using standard numerical algorithms.A quarter-car model with active suspension system is considered in this paper and a numerical example is employed to illustrate the effectiveness of the proposed approach.It is confirmed by the simulations that the designed controller not only can achieve good vehicle suspension performance but also preserves the closed-loop stability in spite of the existence of both the vehicle inertial parameter variation and the actuator time delay.