Cyber-Physical systems (CPS) are the new generation of intelligent systems, which gives greater importance to the interaction between the physical processes and the computational components than their predecessors. It has become one of the fundamental pillars of the fourth industrial revolution which has brought with it the emergence of new challenges in the design of their control systems. This paper deals with the basic concepts of CPS and industrial cyber-physical systems (ICPS), presents a review of the main control strategies used for its design.