Suboptimal vibration control for nonlinear suspension systems based on in-vehicle networks

The problem of optimal vibration control for nonlinear vehicle suspensions based on in-vehicle networks is considered. The paper addresses this problem to design a suboptimal vibration controller for nonlinear sampled-data system with actuator and sensor delays. Employing the successive approximation approach, the nonlinear suboptimal control law is derived from a Riccati equation, a Stein equation, and sequences of adjoint vector difference equations, which consists of a feedback and feedforward term, a nonlinear compensator term, and some control memory terms. The existence and uniqueness of the optimal control law are proved. Furthermore, the controller is applied into a quarter-car suspension model and numerical simulations are given. Based on the analysis and simulations, the results validate the effectiveness of the designed control. And the proposed approach is feasible and easy to implement.