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Deadband-triggered control system adopts a vertical sampling method, control algorithm will not be executed unless the status of the plants exceed certain thresholds i.e. deadbands. As such, the consumption of the computing resources will be greatly reduced. This paper introduces optimal theory into the deadband-triggered control system in the circumstance of multiple control loops to share one CPU. The cost function and utilization function are studied, an optimal deadband feedback scheduling is put forwarded. The simulation demonstrated that the best control performance of all the control tasks will be achieved based on the optimal allocation of deadbands.