The problem of the integrated control and weakly-hard real-time scheduling is addressed. F irst, an abstract model of control tasks execution is introduced, allowing the establishme nt of a formal relationship linking control performance to deadline misses. Then, the noti on of accelerable control task is introduced. An accelerable control task has the property that more executions are performed, better is the control performance. Thanks to this lat ter property, it becomes straightforward to design the control laws according to the avera ge execution times of control tasks, and guaranteeing that in the worst-case scenario, the minimal allowable performance will be achieved. Based on Bellman optimality principle, su fficient conditions for a given control task to be accelerable are stated. A design method of optimal control laws for the weakly-hard execution model is then proposed.