4. Aircraft Control (n = 4, m = 2, p = 2, q = 1)

Total CPU time: 2.68 seconds

Matrices are given in complex number.

-0.0558 0 -0.9968 0 0.0802 0 0.0415 0

A = 0.5980 0 -0.1150 0 -0.0318 0 0 0

-3.0500 0 0.3880 0 -0.4650 0 0 0

0 0 0.0805 0 1.0000 0 0 0

0.0073 0 0.0000 0

B = -0.4750 0 0.0077 0

0.1530 0 0.1430 0

0 0 0 0

C = 0 0 1 0 0 0 0 0

0 0 0 0 0 0 1 0

-0.23423423423 0

-1 3.2

Poles = -1 -3.2

-3.0 0.0

-7.0 0.0

%Solution No. 1

F{1}=[

1.963413171743790e+02+1.722790839379861e-11*i

]

G{1}=[

8.255106901028760e+02+7.325471135753732e-11*i -6.485620222262243e+01-7.806353978795873e-12*i

]

H{1}=[

8.558479553373387e+01+6.995174869665718e-12*i

-1.165930224547752e+03-9.828606251152056e-11*i

]

K{1}=[

3.585792593673286e+02+2.977296676196676e-11*i -2.907860780207173e+01-3.233566457440791e-12*i

-4.885013403781644e+03-4.181383928406798e-10*i 3.756178622414656e+02+4.499782852571374e-11*i

]

%Solution No. 2

F{2}=[

-1.170958447753403e+02-1.646685505416521e-13*i

]

G{2}=[

5.803809744737028e+01+1.851463192384077e-13*i -3.749024973835640e+01-4.051091665886132e-14*i

]

H{2}=[

4.479611671895620e+02-1.540858526581974e-13*i

-1.113093563721607e+02-3.409467966079605e-13*i

]

K{2}=[

-2.211578639417774e+02-3.197309575516243e-13*i 1.437584117966244e+02-9.633730262962382e-14*i

5.810716477479198e+01+2.759919900560247e-13*i -3.535914459091845e+01-9.377108163524321e-14*i

]

%Solution No. 3

F{3}=[

6.377531793101963e+01+4.724042875096430e+00*i

]

G{3}=[

-1.832085435419325e+02-2.871921734166090e+02*i -9.930319159501791e+01-1.054494551753080e+02*i

]

H{3}=[

-1.422225880766884e+01+1.561851895262651e+01*i

3.061199207483148e+02-4.062947983575112e+02*i

]

K{3}=[

1.156437642106198e+02+9.420847243852123e+00*i 4.909815426507937e+01-5.866878749853839e+00*i

-2.654930411065598e+03-3.235590055398017e+01*i -1.107839202178928e+03+1.906921150327485e+02*i

]

%Solution No. 4

F{4}=[

-4.351715868751626e+01+2.095744918908754e+02*i

]

G{4}=[

-1.925228530617243e+04-3.483307254948223e+03*i 5.802116303266267e+03+5.064158955841928e+03*i

]

H{4}=[

4.157451522069675e+00+1.006789110125499e+00*i

-3.971992937816640e+01+1.062313345604692e+01*i

]

K{4}=[

-8.419338237652664e+01+3.826483215917672e+02*i 1.045760821343949e+02-1.124621583026021e+02*i

-1.048458724100433e+03-3.612537549969247e+03*i -3.755932620304196e+02+1.432537136344222e+03*i

]

%Solution No. 5

F{5}=[

-7.223387260198177e+01-7.759076154642978e-13*i

]

G{5}=[

-2.756615862634259e+00-1.007573313576480e-13*i 2.037369175784766e+00+8.572137472183496e-14*i

]

H{5}=[

-3.652161513916688e+03+4.626577772534127e-11*i

-1.345791381285244e+04+4.026908078150782e-11*i

]

K{5}=[

-1.351079394637065e+02-1.802097725876944e-12*i 1.078207570692009e+02+1.961939755899183e-12*i

-4.598484256497190e+02-1.137021210045224e-11*i 4.332727433779582e+02+1.120611124945428e-11*i

]

%Solution No. 6

F{6}=[

-4.351715868744850e+01-2.095744918907699e+02*i

]

G{6}=[

-1.925228530617383e+04+3.483307254944491e+03*i 5.802116303266484e+03-5.064158955840935e+03*i

]

H{6}=[

4.157451522065274e+00-1.006789110123427e+00*i

-3.971992937812143e+01-1.062313345604784e+01*i

]

K{6}=[

-8.419338237640477e+01-3.826483215915732e+02*i 1.045760821343138e+02+1.124621583025410e+02*i

-1.048458724100962e+03+3.612537549967237e+03*i -3.755932620299194e+02-1.432537136343474e+03*i

]

%Solution No. 7

F{7}=[

-9.026934921248312e+02-1.916318828359346e-11*i

]

G{7}=[

-5.229817102577083e+03-7.596752359944582e-11*i 1.813216067244188e+03+1.138262745340438e-11*i

]

H{7}=[

-2.866383149679929e+02-7.923957130911607e-12*i

2.275237747100657e+03+7.367146830531526e-11*i

]

K{7}=[

-1.662120730639221e+03-3.477427720022661e-11*i 5.752564224114587e+02+7.305182042365949e-12*i

1.319320919961625e+04+3.384926326313707e-10*i -4.578743860536211e+03-7.966425099560985e-11*i

]

%Solution No. 8

F{8}=[

6.377531793101787e+01-4.724042875081423e+00*i

]

G{8}=[

-1.832085435419547e+02+2.871921734165767e+02*i -9.930319159502177e+01+1.054494551752904e+02*i

]

H{8}=[

-1.422225880766296e+01-1.561851895263098e+01*i

3.061199207481657e+02+4.062947983575561e+02*i

]

K{8}=[

1.156437642106185e+02-9.420847243827211e+00*i 4.909815426507556e+01+5.866878749863851e+00*i

-2.654930411065314e+03+3.235590055353578e+01*i -1.107839202178748e+03-1.906921150329031e+02*i

]

REFERENCES:

The MathWorks:

Control System Toolbox.

For Use with MATLAB. Getting Started. Version 5. June 2001.