Wind Angular Rates

Calculate wind angular rates from body angular rates, angle of attack, sideslip angle, rate of change of angle of attack, and rate of change of sideslip

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Libraries:
Aerospace Blockset / Flight Parameters

Description

The Wind Angular Rates block supports the equations of motion in wind-fixed frame models by calculating the wind-fixed angular rates (p_w, q_w, r_w). For more information on the equation used for the calculation, see Algorithms.

Ports

Input

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ɑ β — Angles of attack and sideslip
2-by-1 vector

Angle of attack and sideslip, specified as a 2-by-1 vector, in radians.

Data Types: double

dɑ/dt dβ/dt — Rates of change
2-by-1 vector

Rate of change of the angle of attack and rate of change of the sideslip, specified as a 2-by-1 vector, in radians per second.

Data Types: double

ω — Body angular rates
three-element vector

Body angular rates, specified as a three-element vector, in radians per second.

Data Types: double

Output

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ω_w — Wind angular rates
three-element vector

Wind angular rates, returned as a three-element vector, in radians per second.

Data Types: double

Algorithms

The body-fixed angular rates (p_b, q_b, r_b), angle of attack $(α)$ , sideslip angle (β), rate of change of angle of attack $(\dot{α})$ , and rate of change of sideslip $(\dot{β})$ are related to the wind-fixed angular rates as illustrated in the following equation:

$[\begin{matrix} p_{w} \\ q_{w} \\ r_{w} \end{matrix}] = [\begin{matrix} \cos α \cos β & \sin β & \sin α \cos β \\ - \cos α \sin β & \cos β & - \sin α \sin β \\ - \sin α & 0 & \cos α \end{matrix}] [\begin{matrix} p_{b} - \dot{β} \sin α \\ q_{b} - \dot{α} \\ r_{b} + \dot{β} \cos α \end{matrix}]$

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a

Wind Angular Rates

Description

Ports

Input

ɑ β — Angles of attack and sideslip 2-by-1 vector

dɑ/dt dβ/dt — Rates of change 2-by-1 vector

ω — Body angular rates three-element vector

Output

ωw — Wind angular rates three-element vector

Algorithms

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using Simulink® Coder™.

Version History

See Also

ɑ β — Angles of attack and sideslip
2-by-1 vector

dɑ/dt dβ/dt — Rates of change
2-by-1 vector

ω — Body angular rates
three-element vector

ω_w — Wind angular rates
three-element vector

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.