2017 Volume 53 Issue 5 Pages 308-318
In our previous work, we proposed periodic input control method that can control energy of a system using forced entrainment. Furthermore, we showed forced entrainment is caused by inputted periodic external force to a periodic input control system whose energy is controlled by our method. In this paper, we analyze mutual entrainment of a coupled periodic input control system that some periodic input control systems are coupled to mutually, and show synchronization patterns can be controlled by switching coupling state of the system. First, we derive a synchronization condition that mutual entrainment is caused by analyzing a mathematical model of a coupled periodic input control system. Next, we describe that our synchronization pattern control method can control the in-phase and the anti-phase mode in two coupled periodic input control system or the 3-phase mode like a three-phase alternating current in three coupled system. This method switches the coupling condition of a system after periodic motions is attracted to neighborhood of a desired pattern. As a result, the systems synchronize by mutual entrainment. Finally, we show the result that inspected validity of our method by experiments.
