Detection of Stochastic Noise in Vehicular Applications

This paper considers observer design and controllability issues on vehicular systems with stochastic noises. The noised disturbances are modeled as independent Brownian motions for affections such as radiation, heat and material fatigue. Under this framework, this paper proposes the design and controllability conditions on a Proportional-Integral observer in terms of four crucial theorems. The results can be applied to state and disturbance estimations in related applications.