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Even longer periods of rest can be achieved by installing two siphons in the dosing tank; the siphons

在污水量配池内安装两个虹吸管可以实现更长的停顿时间,虹吸管每次可以交替将池内的液体排

The siphons may be close together or at opposite ends of the dosing tank.

这两个虹吸管可以非常近,或者安装在污水量配池的两侧。

AlternatingSiphons Even longer periods of rest can be achieved by installing two siphons in the dosing tank; the siphons alternately discharge the liquid out of the tank into one-half of the field at a time.

在污水量配池内安装两个虹吸管可以实现更长的停顿时间,虹吸管每次可以交替将池内的液体排到一个二分之一的田地里。

Second, based on binary search, an efficient algorithm is proposed for finding aset of elementary siphons given a set of strict minimal siphons of a Petri net.

第二,在已知Petri网中部分或全部严格极小信标的条件下,提出了一种基于二分法原理确定一组基本信标的快速算法。

The theory of elementary siphons has proved that a supervisorcan be computed and its size is linear with the size of the plant net model. But siphonenumeration is required for the purpose of determining a set of elementary siphons.

基本信标理论已从理论上证明可以得到与Petri网规模呈线性关系的受控Petri网模型,但在确定一组基本信标时同样受到枚举Petri网中所有信标问题的困扰。

As a result, the concept of an optimal set of elementary siphons is proposed and also the algorithm which can be finished in polynomial time to find such a set. With the set of optimal elementary siphons, net supervisors can generally produce maximalreachable states.

但是上述理论虽然只需要控制基本信标即可以控制整个系统,但是由于从属信标满足一定的可控性条件才能完全受控,这意味着在控制算法的生成过程中所有的信标都要参与,从而大大增加了系统控制的复杂性。

Different from the case of strict minimal siphons in a net system, the number of elementary ones is bounded by the smaller of place count and transition count. Based on the ideas mentioned above, this thesis proves that the set of elementary siphons is not unique, while different ones may lead to different control results.

本文在此研究的基础上,论证了网系统中的基本信标的不唯一性,控制不同的基本信标可以得到不同的控制效果,进而提出了最优基本信标的概念并给出了相应的计算方法,应用这一计算方法可以在多项式时间内求得一组最优基本信标,也就是说,控制该组基本信标相对于其他的基本信标可以使得系统Petri网模型具有最多的可达状态,这在实际中,意味着系统具有更大的灵活性。

This is possible because the siphons are designed to alternate automatically when two siphons are installed in one tank.

这是可以实现的,因为当在一个池内安装两个虹吸管时,虹吸管可以进行自动交替排放。

The results show that all strict minimal siphons cannot be emptied if non-redundant strict minimal siphons are controlled.

研究结果表明,只要使非冗余的严格极小信标受控,则系统所有的严格极小信标就不会被清空。

2 As the tank fills, the siphons are sealed and the air in the long leg of each trap descends towards the invert of its trap (figure 3b; please see the 'Operation of Single Automatic Siphons').

当池内开始注水时,虹吸管都是密封的,每个存水弯的长腿内的空气会下降至存水弯的倒拱区域(如图3B 所示,请查看'单个自动虹吸管的操作过程'。

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