Documentation

This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English verison of the page.

Note: This page has been translated by MathWorks. Please click here
To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

watertank Simulink Model

The Simulink® model watertank includes the nonlinear Water-Tank System plant and a PI controller in a single-loop feedback system.

The Water-Tank System is shown in the following figure.

Water enters the tank from the top at a rate proportional to the voltage, V, applied to the pump. The water leaves through an opening in the tank base at a rate that is proportional to the square root of the water height, H, in the tank. The presence of the square root in the water flow rate results in a nonlinear plant.

The following table describes the variables, parameters, differential equations, states, inputs, and outputs of the Water-Tank System.

Variables

H is the height of water in the tank.

Vol is the volume of water in the tank.

V is the voltage applied to the pump.

Parameters

A is the cross-sectional area of the tank.

b is a constant related to the flow rate into the tank.

a is a constant related to the flow rate out of the tank.

Differential equation

ddtVol=AdHdt=bVaH

StatesH
InputsV
OutputsH

Was this topic helpful?