A study on half-vehicle active suspension control using sampled-data control

This paper is concerned with the problem of sampled-data H_∞ control for a half-car active suspension system. First of all, by regarding the heave and the pitch accelerations, and the suspension deflection as the optimization objectives, the vehicle suspension system will be established. Then, an input delay approach is employed to transform the resulting active vehicle suspension system with sampling measurements into a continuous-time system with a delay in the state. Thirdly, by constructing a novel Lyapunov functional, a sufficient condition for the existence of sampled-data H_∞ controller is given to ensure asymptotical stability of the closed-loop system and also satisfy the constraint performance. The corresponding condition can be converted into a convex optimization problem and verified easily by means of standard software. Finally, a design example is exploited to demonstrate the effectiveness of the proposed design method.