Try different control responses with a first order lag modeling the actuators.

------------------------------------------------------------------------
See also QECI, VTToVB, AC, ACBuild, ACInit, ACPlot, DrawAC, HUD,
HUDCntrl, ACEngEq, ACModes, @acstate/acstate.m, CInputs, TimeGUI
------------------------------------------------------------------------

Contents

%--------------------------------------------------------------------------
%   Copyright (c) 1998 Princeton Satellite Systems, Inc.
%   All rights reserved.
%--------------------------------------------------------------------------
%   Since version 2.0 (ACT)
%--------------------------------------------------------------------------

Global for the time GUI

%------------------------
global simulationAction
simulationAction = ' ';

Global for the HUD

%-------------------
global hUDOutput
hUDOutput = struct('pushbutton1',0,'pushbutton2',0,'checkbox1',0,...
                   'checkbox2',0,'checkbox3',0);

Select actuator

%----------------
actuatorName = 'elevator';

F16 database

%-------------
d               = ACBuild('F16');
d.theta0        = 0;
d.wPlanet       = [0;0;0];
d.aero.name     = 'ACAero';
d.engine.name   = 'ACEngine';
d.rotor.name    = [];
d.sensor.name   = 'ACSensor';
d.disturb.name  = [];

Load the standard atmosphere

%-----------------------------
d.atmData       = load('AtmData.txt');
d.atmUnits      = 'eng';

Control

%--------
d.control.throttle  =   0.1485;
d.control.elevator  =  -1.931;
d.control.aileron   =  -7e-8;
d.control.rudder    =   8.3e-7;

The following two lines implement an actuator model

%----------------------------------------------------
d.actuator = struct('name','F16Act','aileron',2,'elevator',2,'rudder',2);
actuator   = [d.control.elevator;d.control.aileron;d.control.rudder];

Initial state vector

%---------------------
alpha     = 0.03936;
beta      = 4.1e-9;
vT        = 502;
v         = VTToVB( vT, alpha, beta );

cG        = [0.3;0;0];

r         = [2.092565616797901e+07+100;0;0];

eulInit   = [0;0.03936;0.00];

q         = QECI( r, eulInit );
w         = [0;0;0];

wR        = 160;
engine    = ACEngEq( d, v, r );
mass      = 1/1.57e-3;
inertia   = [9497;55814;63100;0;-982;0];
sensor    = [];
flex      = [];
disturb   = [];

Initial time and state

%-----------------------
t = 0;
x = acstate( r, q, w, v, wR, mass, inertia, cG, engine, actuator, sensor, flex, disturb );

Initialize the model

%---------------------
dT   = 0.01;
nSim = 10/dT;

d    = ACInit( x, d );
gLin = AC( x, 0, 0, d, 'linalpha');
aC   = get( gLin, 'a' );

Display aircraft rigid body modes

%----------------------------------
ACModes( gLin );
--------------------------------------------------------------------------------------------------------------


Rigid Body Aircraft Modes
                       Phugoid               Short Period             Dutch Roll           Roll        Spiral
s               -1.2827 ± 1.9411        -0.0085 ± 0.0605        -0.4445 ± 3.2915       -3.5900       -0.0122
zeta             0.551                    0.139                  0.134                   0.000        0.000
tau              3.24                    103.91                   1.91                    0.28        82.18

--------------------------------------------------------------------------------------------------------------
phi              1.19e-04 ± -2.71e-04   -1.19e-07 ± -3.97e-06   -3.58e-02 ± -2.95e-01   -2.79e-01     1.00e+00
theta            6.07e-02 ± -7.58e-02   -4.01e-04 ± -1.88e-03   -1.43e-04 ±  6.46e-05   -3.33e-06    -9.18e-05
omega x          3.79e-04 ±  5.81e-04    2.41e-07 ±  3.65e-08    1.00e+00 ±  0.00e+00    1.00e+00    -1.46e-02
omega y          6.93e-02 ±  2.15e-01    1.17e-04 ± -8.26e-06   -1.49e-04 ± -4.98e-04    1.19e-05     1.12e-06
omega z         -1.06e-04 ± -7.23e-05    9.77e-09 ± -2.50e-07   -3.08e-01 ±  3.38e-01    1.47e-02     6.30e-02
vT               1.00e+00 ±  0.00e+00    1.00e+00 ±  0.00e+00   -6.24e-04 ± -1.01e-03   -1.84e-05     2.96e-01
alpha            9.41e-02 ± -4.50e-02   -1.46e-04 ±  1.32e-06   -1.40e-04 ±  1.64e-05   -4.19e-06    -7.36e-05
beta             5.70e-06 ± -6.85e-05   -2.73e-08 ± -1.02e-08   -1.11e-01 ± -9.98e-02   -1.99e-03     3.07e-03

--------------------------------------------------------------------------------------------------------------

Set up the HUD

%---------------
dHUD.atmData  = d.atmData;
dHUD.atmUnits = 'eng';

cHUD.control     = d.control;
cHUD.elevatorMax = 90;
cHUD.aileronMax  = 90;
cHUD.rudderMax   = 90;
cHUD.dT          = dT;
hHUD = HUD( 'init', dHUD, x, [], cHUD );

Set up the aircraft display

%----------------------------
gF16 = load('gF16');
hF16 = DrawAC( 'init', gF16, x, [], d.atmUnits );

Set up the control inputs

%--------------------------
switch actuatorName
	case 'elevator'
		cDS.dT        = 0.5;
		cDS.magnitude = 2;
		cDS.init      = d.control.elevator;
	case 'throttle'
		cDS.dT        = 3;
    cDS.magnitude = 0.1;
		cDS.init      = d.control.throttle;
	case 'aileron'
		cDS.dT        = 2;
    cDS.magnitude = 5;
		cDS.init      = d.control.aileron;
	case 'rudder'
		cDS.dT        = 0.5;
		cDS.magnitude = 2;
		cDS.init      = d.control.rudder;
	otherwise
		error([actuatorName 'is not available'])
end

Initialize the plots

%---------------------
plots = [ 'Euler angles       ';...
          'Quaternion         ';...
          'Quaternion NED To B';...
          'Angular rate       ';...
          'Position ECI       ';...
          'Velocity           ';...
          'Actuator states    ';...
          'Alpha              ';...
          'Rudder             ';...
          'Throttle           ';...
          'Aileron            ';...
          'Elevator           '];

dPlot = ACPlot( x, 'init', plots, d, nSim, dT, nSim );

Initialize the time display

%----------------------------
tToGoMem.lastJD        = 0;
tToGoMem.lastStepsDone = 0;
tToGoMem.kAve          = 0;
ratioRealTime          = 0;
[ ratioRealTime, tToGoMem ] =  TimeGUI( nSim, 0, tToGoMem, 0, dT, 'F16 Simulation' );

for k = 1:nSim

	% Display the status message
	%---------------------------
	[ ratioRealTime, tToGoMem ] = TimeGUI( nSim, k, tToGoMem, ratioRealTime, dT );

  % HUD information
  %----------------
  hHUD = HUD( 'run', dHUD, x, hHUD, cHUD );

  % Controls
  %---------
	switch actuatorName
		case 'elevator'
 			d.control.elevator  = CInputs( t, 1, cDS, 'doublet' );
		case 'throttle'
 			d.control.throttle  = CInputs( t, 1, cDS, 'doublet' );
		case 'aileron'
 			d.control.aileron   = CInputs( t, 1, cDS, 'doublet' );
		case 'rudder'
 			d.control.rudder    = CInputs( t, 1, cDS, 'doublet' );
  end

  % Plotting
  %---------
  dPlot = ACPlot( x, 'store', dPlot, d.control );

  % 3D Display
  %-----------
  hF16 = DrawAC( 'run', gF16, x, hF16, d.atmUnits );

  % The simulation
  %---------------
  x     = AC( x, t, dT, d );
  t     = t + dT;

  % Time control
  %-------------
  switch simulationAction
    case 'pause'
      pause
      simulationAction = ' ';
    case 'stop'
      return;
    case 'plot'
      break;
  end

  HUDCntrl;

end

TimeGUI('close');

Create the plots

%-----------------
ACPlot( x, 'plot', dPlot );


%--------------------------------------