Abstract: A time delay system which should be with good responses not only for the reference signal,but also for uncertain parameters and load disturbances is defined as global satisfying control system (GSCS). We discusse how to realize this purpose by a law of run in the opposite direction, give some examples, and make a contrast analyses with the last development for all kinds of improved Smith predictor. The results shown that the performances of the GSCS are much better than the ones of improved Smith predictor. Especially, it has special value for the uncertain time delay system.