A system for performing industrial operations, comprising: - at least one tool head provided with a tool (6, 7); - at least one sensor associated to said tool head and configured for detecting an operating parameter of the tool head; - a control unit for controlling operation of said tool head, - a control module mounted on said tool head and including: - a data-acquisition unit connected to said at least one sensor and configured for acquiring data coming from said at least one sensor; and - a wireless transmission unit connected to said acquisition unit for receiving the aforesaid acquired data and configured for transmitting said acquired data in a wireless mode to a receiving unit remote from the tool head; and - a device for storing electrical energy for electrical supply of said acquisition unit, of said wireless transmission unit, and of said at least one sensor, wherein said system further comprises wireless means for charging said device for storing electrical energy, such as for example inductive charging means, comprising first charging means, carried by said tool head and connected to said energy-storage device, and second charging means, which are associated to a workstation remote from the tool head and co-operating in a wireless mode with said first charging means connected to said device for storing electrical energy, wherein said system further comprises a multi-axis industrial robot of the type including a base structure, an articulated robot wrist, and a chain of mutually articulated robot elements that connect said base structure to said robot wrist, said tool head control unit being constituted by a control unit of said robot, and wherein said tool head is removably connected to said robot wrist, said system being characterized in that it further comprises an electronic processing unit designed to process data coming from said wireless receiving unit and from said robot control unit during an operating cycle of said robot in which said tool head performs an industrial operation, said electronic processing unit being configured to process data received from the wireless receiving unit, indicating parameters detected by said at least one sensor during the operating cycle of the robot, and said electronic processing unit being also adapted to associate said data received from the wireless receiving unit to information received from said robot control unit during the robot operating cycle, so that a correlated information is obtained on the functional parameters of the system during execution of said industrial operation, as a function of the position of the robot. - at least one tool head provided with a tool (6, 7); - at least one sensor associated to said tool head and configured for detecting an operating parameter of the tool head; - a control unit for controlling operation of said tool head, - a control module mounted on said tool head and including: - a data-acquisition unit connected to said at least one sensor and configured for acquiring data coming from said at least one sensor; and - a wireless transmission unit connected to said acquisition unit for receiving the aforesaid acquired data and configured for transmitting said acquired data in a wireless mode to a receiving unit remote from the tool head; and - a device for storing electrical energy for electrical supply of said acquisition unit, of said wireless transmission unit, and of said at least one sensor,