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1 ## Copyright (C) 1996, 1997 John W. Eaton |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA |
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18 ## 02111-1307, USA. |
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19 |
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20 ## Usage: zr = tzero (a, b, c, d, bal) |
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21 ## |
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22 ## Compute the transmission zeros of a, b, c, d. |
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23 ## |
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24 ## bal = balancing option (see balance); default is "B". |
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25 ## |
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26 ## Needs to incorporate mvzero algorithm to isolate finite zeros. |
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27 |
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28 ## Author: A. S. Hodel <scotte@eng.auburn.edu> |
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29 ## Created: August 1993 |
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30 ## Adapted-By: jwe |
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31 |
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32 function zr = tzero (a, b, c, d, bal) |
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33 |
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34 if (nargin == 4) |
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35 bal = "B"; |
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36 elseif (nargin != 5) |
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37 error ("tzero: invalid number of arguments"); |
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38 endif |
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39 |
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40 [n, m, p] = abcddim (a, b, c, d); |
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41 |
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42 if (n > 0 && m > 0 && p > 0) |
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43 if (m != p) |
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44 warning ("tzero: number of inputs,outputs differ. squaring up"); |
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45 if (p > m) |
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46 warning (" by padding b and d with zeros."); |
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47 b = [b, (zeros (n, p-m))]; |
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48 d = [d, (zeros (p, p-m))]; |
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49 m = p; |
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50 else |
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51 warning (" by padding c and d with zeros."); |
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52 c = [c; (zeros (m-p, n))]; |
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53 d = [d; (zeros (m-p, m))]; |
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54 p = m; |
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55 endif |
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56 warning ("This is a kludge. Try again with SISO system."); |
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57 endif |
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58 ab = [-a, -b; c, d]; |
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59 bb = [(eye (n)), (zeros (n, m)); (zeros (p, n)), (zeros (p, m))]; |
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60 [ab, bb] = balance (ab, bb); |
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61 zr = -qzval (ab, bb); |
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62 else |
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63 error ("tzero: a, b, c, d not compatible"); |
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64 endif |
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65 |
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66 endfunction |
