With　the　rapid　developments　of　wireless　communication　and　increasing　number　of　connected　vehicles,　Vehicular　Ad　Hoc　Networks　(VANETs)　enable　cyberinteractions　in　the　physical　transportation　system.　Future　networks　require　real-time　control　capability　to　support　delay-sensitive　application　such　as　connected　autonomous　vehicles.　In　recent　years,　fog　computing　becomes　an　emerging　technology　to　deal　with　the　insufficiency　in　traditional　cloud　computing.　In　this　paper,　a　fog-based　distributed　network　control　design　is　proposed　toward　connected　and　automated　vehicle　application.　The　proposed　architecture　combines　VANETs　with　the　new　fog　paradigm　to　enhance　the　connectivity　and　collaboration　among　distributed　vehicles.　A　case　study　of　connected　cruise　control　(CCC)　is　introduced　to　demonstrate　the　efficiency　of　the　proposed　architecture　and　control　design.　Finally,　we　discuss　some　future　research　directions　and　open　issues　to　be　addressed.