Abstract:
The paper deals with the H1 control problem for active vehicle suspension systems with actuator time delay. The time
delay for the actuator is assumed as uncertain time-invariant but has a known constant bound. By suitably formulating the
sprung mass acceleration, suspension deflection and tyre deflection as the optimization object and considering the actuator
time delay, a delay-dependent memoryless state feedback H1 controller is designed in terms of the feasibility of certain
delay-dependent matrix inequalities. 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 the optimal performance for active suspensions but also preserves the
closed-loop stability in spite of the existence of the actuator time delay within allowable bound.
