Cyber-Physical System (CPS) that integrated computational and physical capabilities has emerged as a promising topic. It interacts with physical world and humans through ad hoc communications. In contemporary, with the fast development of CPS theory and applications, CPS generates a large volume of data, which may lead its control into a chaotic status. Hence, it is an impressing demand to solve the chaotic status CPS control. To this end, chaotic time series prediction algorithm are employed to resolve the chaotic status featured by a fuzzy feedback linearization model. Modelling the CPS under big data without taking chaotic features into account may result in an unexpected results. This is because chaotic CPS is dramatically sensitive to small disturbances or minor changes of initiators. This paper developed a CPS model in light of fuzzy feedback linearization. Further, the chaotic time prediction algorithm is applied to solve the chaotic control problem in CPS. The developed algorithm takes both tracking control problem and synchronization control problem into account. The numerical results suggest that the developed method is feasible and efficient in tracking control problem and synchronize two chaotic CPS.