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Since this MATLAB macro has been heavily documented, it shouldn’t be too diffi306
Appendix C. Data structure of the FDC model parameters
cult to identify the aircraft-dependent parameters that need to be changed, and the
generic aircraft-independent code that determines the inertia coefficients from table
2.2 of chapter 2. It is recommended to save the altered parameters to a new
datafile, such as AIRCRAFT1.DAT, BOEING747.DAT, or something similar. See section
12.6.1 for more details about MODBUILD.
C.2 Definition of the parameter matrices for the Beaver model
Aerodynamic model
The stability and control derivatives used by the aerodynamic model of the Beaver
aircraft have been combined in the parameter matrix AM. The definition of AM has
been given in table C.2, while the numerical values of these coefficients can be found
in table B.3 from appendix B. The numerical values have been implemented in MODBUILD,
which generates the datafile AIRCRAFT.DAT. See section 3.3.1 for more details
about the aerodynamic model itself.
Engine forces & moments model
The coefficients used by the propulsion model of the Beaver aircraft have been combined
in the parameter matrix EM. The definition of EM has been given in table C.2,
while the numerical values of these coefficients can be found in table B.4 from appendix
B. The numerical values have been implemented in MODBUILD. See section 3.3.2
for more details about the propulsion model itself.
Weight & balance and geometrical data
In the current implementation of the aircraft model, the mass of the airplane and its
mass-distribution are assumed to remain constant during the relatively short timeintervals
considered in most simulations. These values have therefore been implemented
as system parameters for the nonlinear aircraft model.
The parameter vector GM1 contains the mass, moments and products of inertia,
mean aerodynamic chord, wing span, and wing area. The definition of GM1 has been
given in table C.3, while the numerical values of these parameters can be found in
tables B.1 and B.5 from appendix B. These numerical values have been implemented
in MODBUILD.
The parameter matrix GM2 contains the inertia coefficients from table 2.2 in chapter
2, with numerical values that correspond to the moments and products of inertia
from the vector GM1. The definition of GM2 has also been given in table C.3. The
equations from table 2.2 have been implemented in MODBUILD, to obtain the numerical
values of these parameters.
C.2. Definition of the parameter matrices for the Beaver model 307
AM =
2
66666666666666666666666666666666666666666666664
CX0 CY0 CZ0 Cl0 Cm0 Cn0
CXa 0 CZa 0 Cma 0
CXa2 0 0 0 Cma2 0
CXa3 0 CZa3 0 0 0
0 CYb 0 Clb 0 Cnb
0 0 0 0 Cmb2 0
0 0 0 0 0 Cnb3
0 CYp 0 Clp 0 Cnp
CXq 0 CZq 0 Cmq Cnq
0 CYr 0 Clr Cmr Cnr
0 0 CZde 0 Cmde 0
CXd f
0 CZd f
0 Cmd f
0
0 CYda 0 Clda 0 Cnda
CXdr CYdr 0 Cldr 0 Cndr
CXad f
0 CZad f
0 0 0
0 CYdra 0 0 0 0
0 0 0 Cldaa 0 0
0 0 CZdeb2 0 0 0
0 CYb 0 0 0 0
3
77777777777777777777777777777777777777777777775
T
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
1 2 3 4 5 6
Table C.1: Coefficients of the aerodynamic model of the Beaver
EM =
2
6666664
CXdpt 0 CZdpt 0 Cmdpt 0
0 0 0 0 0 Cndpt
CX
adpt2 0 0 0 0 0
0 0 0 Cla2dpt 0 0
3
7777775
T
1
2
3
4
1 2 3 4 5 6
Table C.2: Coefficients of the engine forces & moments model of the Beaver
308 Appendix C. Data structure of the FDC model parameters
GM1 =
h
c b S Ixx Iyy Izz Jxy Jxz Jyz m
iT
1
1 2 3 4 5 6 7 8 9 10
GM2 =
2
64
Pl Pm Pn Ppp Ppq Ppr Pqq Pqr Prr
Ql Qm Qn Qpp Qpq Qpr Qqq Qqr Qrr
Rl Rm Rn Rpp Rpq Rpr Rqq Rqr Rrr
3
75
T
1
2
3
1 2 3 4 5 6 7 8 9
Table C.3: Beaver geometry and mass-distribution
Appendix D
Data structure of the FDC model
output signals
During simulations, several signals from the simulation models are logged in the
MATLAB workspace; these results can later be used for post-simulation analysis,
such as trajectory plotting, or they can be saved to file. In this appendix, the dataformat
for this output logging will be described, and an overview of the input and
output signals used in the top-level of the aircraft model will be provided. See chapter
8 (in particular, the description of the Beaver Level 1 system) for more information
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