Random Vibration Optimal Control of Vehicle Based on Semi-active Suspension System

A stochastic nonlinear dynamical model of semi-active suspension system had been presented considering the stochastic factor of the road. The Hamilton function had been described as one dimension diffusion process by using stochastic average method, the backward Kolmogorov equation for reliability function and the conditional moment of the first-passage time and their associated boundary and initial conditions are derived, the optimal control strategy aimed to obtain the maximization of reliable function had been accessed by dynamic programming principles. Numerical simulation results of partial differential equations fitted for reliability function and the conditional moment of the first-passage time had been obtained by finite difference methods. the numerical results indicated that the security enhanced when the constrained control force increased.