The application discloses a ball and link
system control method based on fuzzy sliding mode and periodic event triggering, first constructs a
state space equation of the
system and carries out regular transformation to obtain a
standard system model; then, a fuzzy sliding
mode switching function is established in combination with a
fuzzy membership function, and a periodic event triggering mechanism is designed; on the basis, a periodic event triggering fuzzy sliding mode controller is constructed, an actual sliding mode band is constructed by analyzing a periodic sampling error, state trajectory is ensured to enter the band in a limited time and remain in the band, and the
reachability of the sliding mode surface is ensured; then, a controller
gain matrix is solved based on stability analysis of the sliding mode, is brought into the controller to complete closed-
loop control on the ball and link
system, and a system sampling period is established. The application uses the
fuzzy membership function to design the sliding mode surface, has lower conservativeness, and uses the periodic sampling to design the event triggering mechanism, theoretically eliminates the Zeno phenomenon, and provides an efficient control scheme for a system with limited network and communication resources.