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You can simulate a fuzzy inference system (FIS) in Simulink^{®} using either the Fuzzy Logic Controller or Fuzzy Logic
Controller with Ruleviewer blocks. Alternatively, you can evaluate fuzzy systems at
the command line using `evalfis`

.

For more information on creating fuzzy inference systems, see Build Mamdani Systems Using Fuzzy Logic Designer and Build Mamdani Systems at the Command Line.

Once you have implemented a fuzzy inference system using **Fuzzy Logic Designer**, using **Neuro-Fuzzy Designer**, or at the command line, you can simulate the system in Simulink.

For this example, you control the level of water in a tank using a fuzzy inference system implemented using a Fuzzy Logic Controller block. Open the `sltank`

model.

```
open_system('sltank')
```

For this system, you control the water that flows into the tank using a valve. The outflow rate depends on the diameter of the output pipe, which is constant, and the pressure in the tank, which varies with water level. Therefore, the system has nonlinear characteristics.

The two inputs to the fuzzy system are the water level error, `level`

, and the rate of change of the water level, `rate`

. The output of the fuzzy system is the rate at which the control valve is opening or closing, `valve`

.

To implement a fuzzy inference system, specify the **FIS name** parameter of the Fuzzy Logic Controller block as the name of a FIS structure in the MATLAB® workspace. In this example, the block uses the FIS structure `tank`

.

For more information on this system, see Water Level Control in a Tank.

As a first attempt to control the water level, set the following rules in the FIS. These rules adjust the valve based on only the water level error.

If the water level is okay, then do not adjust the valve.

If the water level is low, then open the valve quickly.

If the water level is high, then close the valve quickly.

rule1 = "If level is okay then valve is no_change"; rule2 = "If level is low then valve is open_fast"; rule3 = "If level is high then valve is close_fast"; rules = [rule1 rule2 rule3]; tank = parsrule(tank,rules);

Simulate the model and view the water level.

open_system('sltank/Comparison') sim('sltank',100)

These rules are insufficient for controlling the system, since the water level oscillates around the setpoint.

To reduce the oscillations, add two more rules to the system. These rules adjust the valve based on the rate of change of the water level when the water level is near the setpoint.

If the water level is okay and increasing, then close the valve slowly.

If the water level is okay and decreasing, then open the valve slowly.

rule4 = "If level is okay and rate is positive then valve is close_slow"; rule5 = "If level is okay and rate is negative then valve is open_slow"; rules = [rule1 rule2 rule3 rule4 rule5]; tank = parsrule(tank,rules);

Simulate the model.

```
sim('sltank',100)
```

The water level now tracks the setpoint without oscillating.

You can also simulate fuzzy systems using the Fuzzy Logic Controller with Ruleviewer block. The `sltankrule`

model is the same as the `sltank`

model, except that it uses the Fuzzy Logic Controller with Ruleviewer block.

```
open_system('sltankrule')
```

During simulation, this block displays the Rule Viewer from the **Fuzzy Logic Designer** app.

```
sim('sltankrule',100)
```

If you pause the simulation, you can examine the FIS behavior by manually adjusting the input variable values in the Rule Viewer, and observing the inference process and output.

You can also access the **Fuzzy Logic Designer** editors from the Rule Viewer. From the Rule Viewer, you can then adjust the parameters of your fuzzy system using these editors, and export the updated system to the MATLAB workspace. To simulate the updated FIS, restart the simulation. For more information on using these editors, see Build Mamdani Systems Using Fuzzy Logic Designer.

You can access intermediate fuzzy inference results using the Fuzzy Logic Controller block. You can use this data to visualize the fuzzy inference process or troubleshoot the performance of your FIS. To access this data, enable the corresponding parameters in the block, and connect signals to the corresponding output ports.

Block Parameter | Description | Output Port |
---|---|---|

Fuzzified Inputs | Fuzzified input values, obtained by evaluating the input membership functions of each rule at the current input values. | `fi` |

Rule firing strengths | Rule firing strengths, obtained by evaluating the antecedent of each rule. | `rfs` |

Rule outputs | Rule outputs, obtained by evaluating the consequent of each rule. | `ro` |

Aggregated outputs | Aggregate output for each output variable, obtained by combining the corresponding outputs from all the rules. | `ao` |

For more information see, Fuzzy Logic Controller.

The Fuzzy Logic Controller block has the following two simulation modes:

`Interpreted execution`

— Simulate fuzzy systems using precompiled MEX files. Using this option reduces the initial compilation time of the model.`Code generation`

— Simulate fuzzy system without precompiled MEX files. Use this option when simulating fuzzy systems for code generation applications. Doing so simulates your system using the same code path used for generated code.

To select a simulation mode, set the **Simulate using** parameter of
the block. By default, the block uses `Interpreted execution`

mode
for simulation.

`evalfis`

Function to Fuzzy Logic Controller BlockThe input and output arguments of the `evalfis`

function map to parameters and ports of the Fuzzy Logic
Controller block.

`evalfis` Argument | Description | Fuzzy Logic Controller Parameter or Port |
---|---|---|

`fismat` | Fuzzy inference system | FIS name |

`numPts` | Number of points in output fuzzy sets | Number of samples for output discretization |

`input` , when a single row | Input variable values | `in` |

`output` , when a single row | Output variable values | `out` |

`IRR` | Fuzzified inputs | `fi` |

`ORR` | Rule outputs | `ro` |

`ARR` | Aggregated outputs | `ao` |

The remaining parameters of the Fuzzy Logic Controller block do not map
to arguments of `evalfis`

.

When evaluating a Sugeno FIS, the `ORR`

and `ARR`

output arguments do not match `ro`

and `ao`

,
respectively. `ORR`

and `ARR`

do not support Sugeno
systems.

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