Water Level Control ( HSCC 2011 ) AVACS H 4 Phase 2
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چکیده
1 Description of the Model We consider a model of a water level control system extended from the one of Alur et al. [1] and our previous paper [4]. In particular, we use this case study to demonstrate the influence which different abstractions of the same continuous stochastic command have. The abstraction of a guarded command with a continuous probability distribution into one with a discrete probability distribution is described in a recent publication [2]. A water tank is filled by a constant stream of water and is connected to a pump which is used to avoid overflow of the tank. A control system operates the pump in order to keep the water level within predefined bounds. The controller is connected to a sensor measuring the level of water in the tank. A sketch of the model is given in Figure 1. The state " Tank " models the tank and the pump, and w is the water level. Initially, the Figure 1: Sketch of the Water Level Control Model tank contains a given amount of water. Whenever the pump is turned off in state " Off " , the tank fills with a constant rate due to the inflow. Conversely, more water is pumped out than flows in when the pump is on.
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