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Represent crossover pilot model

**Library:**Aerospace Blockset / Pilot Models

The Crossover Pilot Model block represents the pilot model described in
*Mathematical Models of Human Pilot Behavior*
[1]). This pilot
model is a single input, single output (SISO) model that represents some aspects of
human behavior when controlling aircraft.

The Crossover Pilot Model takes into account the combined dynamics of the human pilot and the aircraft, using the form described in Algorithms around the crossover frequency.

This block has nonlinear behavior. If you want to linearize the block (for example, with one
of the `linmod`

functions), you might need to
change the Pade approximation order. The Crossover Pilot Model block
implementation incorporates the Transport Delay block with the
**Pade order (for linearization)** parameter set to
`2`

by default. To change this value, use the `set_param`

function, for example:

set_param(gcb,'pade','3')

When modeling human pilot models, use this block for more accuracy than that provided by the Tustin Pilot Model block. This block is also less accurate than the Precision Pilot Model block.

The Crossover Model takes into account the combined dynamics of the human pilot and the aircraft, using the following form around the crossover frequency:

$${Y}_{p}{Y}_{c}=\frac{{\omega}_{c}{e}^{-\tau s}}{s},$$

Where:

Variable | Description |
---|---|

Y
_{p}
| Pilot transfer function. |

Y
_{c}
| Aircraft transfer function. |

ω
_{c}
| Crossover frequency. |

τ
| Transport delay time caused by the pilot neuromuscular system. |

If the dynamics of the aircraft (*Y _{c}*) change,

**Note**

This block is valid only around the crossover frequency. It is not valid for discrete inputs such as a step.

[1] McRuer, D. T., Krendel, E.,
*Mathematical Models of Human Pilot Behavior*. Advisory Group
on Aerospace Research and Development AGARDograph 188, Jan. 1974.

`linmod`

| Precision Pilot Model | Transport Delay | Tustin Pilot Model