📄 pqrdot.hlp
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PQRDOT is a Simulink subsystem which is used to compute the time-
derivatives of the angular body-axes velocities p, q, and r. The
block PQRDOT is contained in the sub-sub-system '12 ODEs' of the
subsystem 'Aircraft Equations of Motion' in the S-function BEAVER.
Inputvector: upqr (the inputvariables which are not used in
PQRDOT are displayed between accolades).
===========================================================
upqr = [x' Ftot' Mtot' yhlp'],
x = [V alpha beta p q r psi theta phi xe ye H]' (states)
Ftot = [Fx Fy Fz]' (total forces along the body-axes,
computed in the block FMSORT)
Mtot = [L M N]' (total moments along the body-axes,
computed in the block FMSORT)
yhlp = [cos(alpha) sin(alpha) cos(beta) sin(beta) ...
... tan(beta) sin(psi) cos(psi) sin(theta) ...
... cos(theta) sin(phi) cos(phi)]'
(sines and cosines, coming from the block HLPFCN)
where:
{V : airspeed [m/s] }
{alpha: angle of attack [rad] }
{beta : sideslip angle [rad] }
p : roll rate [rad/s]
q : pitch rate [rad/s]
r : yaw rate [rad/s]
{psi : yaw angle [rad] }
{theta: pitch angle [rad] }
{phi : roll angle [rad] }
{xe : x-coordinate in Earth-fixed reference frame [m] }
{ye : y-coordinate '' '' '' '' [m] }
{H : altitude above sea-level [m] }
{Fx, Fy, Fz: total forces along the aircraft's body-axes [N] }
L, M, N : total moments along the aircraft's body-axes [Nm]
Of the inputvector yhlp, no elements are used by PQRDOT.
Outputvector: ypqr.
===================
ypqr = [pdot qdot rdot]'
where:
pdot : dp/dt [rad/s^2]
qdot : dq/dt [rad/s^2]
rdot : dr/dt [rad/s^2]
Parameters which must be loaded in the Matlab Workspace.
========================================================
GM2 = matrix with inertia parameters of the 'Beaver' aircraft
(which is assumed to be constant during the motions of
interest). GM2 can be loaded into the workspace by cal-
ling the M-file LOADER.M. Use MODBUILD.M if the datafile
with model parameters does not yet exist (type HELP
LOADER and/or HELP MODBUILD for more info).
More info:
==========
See VABDOT.HLP, EULERDOT.HLP, XYHDOT.HLP, XDOTCORR.HLP, and
12ODES.HLP for more details about the determination of time-deri-
vatives of the other states. For more details about the input-
vectors to the block PQRDOT, consult HLPFCN.HLP and FMSORT.HLP.
See also EQMOTION.HLP.
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The FDC toolbox, Copyright Marc Rauw 1994-1998.
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