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1 ## Copyright (C) 1998 Auburn University. All Rights Reserved |
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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 the |
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7 ## Free Software Foundation; either version 2, or (at your option) any |
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8 ## later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but WITHOUT |
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11 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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12 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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13 ## 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 02111 USA. |
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18 |
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19 ## [mag,phase,w] = nichols(sys[,w,outputs,inputs]) |
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20 ## Produce Nichols plot of a system |
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21 ## |
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22 ## Compute the frequency response of a system. |
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23 ## inputs: |
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24 ## sys: system data structure (must be either purely continuous or discrete; |
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25 # see is_digital) |
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26 ## w: frequency values for evaluation. |
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27 ## if sys is continuous, then nichols evaluates G(jw) |
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28 ## if sys is discrete, then nichols evaluates G(exp(jwT)), where T=sys.tsam |
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29 ## (the system sampling time) |
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30 ## default: the default frequency range is selected as follows: (These |
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31 ## steps are NOT performed if w is specified) |
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32 ## (1) via routine bodquist, isolate all poles and zeros away from |
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33 ## w=0 (jw=0 or exp(jwT)=1) and select the frequency |
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34 ## range based on the breakpoint locations of the frequencies. |
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35 ## (2) if sys is discrete time, the frequency range is limited |
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36 ## to jwT in [0,2p*pi] |
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37 ## (3) A "smoothing" routine is used to ensure that the plot phase does |
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38 ## not change excessively from point to point and that singular |
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39 ## points (e.g., crossovers from +/- 180) are accurately shown. |
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40 ## outputs, inputs: the indices of the output(s) and input(s) to be used in |
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41 ## the frequency response; see sysprune. |
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42 ## outputs: |
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43 ## mag, phase: the magnitude and phase of the frequency response |
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44 ## G(jw) or G(exp(jwT)) at the selected frequency values. |
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45 ## w: the vector of frequency values used |
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46 ## If no output arguments are given, nichols plots the results to the screen. |
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47 ## Descriptive labels are automatically placed. See xlabel, ylable, title, |
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48 ## and replot. |
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49 ## |
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50 ## Note: if the requested plot is for an MIMO system, mag is set to |
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51 ## ||G(jw)|| or ||G(exp(jwT))|| and phase information is not computed. |
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52 |
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53 function [mag,phase,w] = nichols(sys,w,outputs,inputs) |
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54 |
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55 ## check number of input arguments given |
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56 if (nargin < 1 | nargin > 4) |
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57 usage("[mag,phase,w] = nichols(sys[,w,outputs,inputs])"); |
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58 endif |
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59 if(nargin < 2) |
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60 w = []; |
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61 endif |
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62 if(nargin < 3) |
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63 outputs = []; |
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64 endif |
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65 if(nargin < 4) |
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66 inputs = []; |
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67 endif |
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68 |
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69 [f, w] = bodquist(sys,w,outputs,inputs,"nichols"); |
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70 |
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71 [stname,inname,outname] = sysgetsignals(sys); |
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72 systsam = sysgettsam(sys); |
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73 |
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74 ## Get the magnitude and phase of f. |
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75 mag = abs(f); |
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76 phase = arg(f)*180.0/pi; |
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77 |
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78 if (nargout < 1), |
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79 ## Plot the information |
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80 if(gnuplot_has_multiplot) |
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81 oneplot(); |
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82 endif |
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83 gset autoscale; |
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84 if(gnuplot_has_multiplot) |
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85 gset nokey; |
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86 endif |
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87 clearplot(); |
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88 grid("on"); |
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89 gset data style lines; |
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90 if(is_digital(sys)) |
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91 tistr = "(exp(jwT)) "; |
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92 else |
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93 tistr = "(jw)"; |
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94 endif |
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95 xlabel("Phase (deg)"); |
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96 if(is_siso(sys)) |
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97 title(["Nichols plot of |[Y/U]",tistr,"|, u=", ... |
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98 sysgetsignals(sys,"in",1,1), ", y=",sysgetsignals(sys,"out",1,1)]); |
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99 else |
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100 title([ "||Y(", tistr, ")/U(", tistr, ")||"]); |
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101 printf("MIMO plot from\n%s\nto\n%s\n",outlist(inname," "), ... |
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102 outlist(outname," ")); |
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103 endif |
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104 if(max(mag) > 0) |
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105 ylabel("Gain in dB"); |
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106 md = 20*log10(mag); |
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107 else |
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108 ylabel("Gain |Y/U|") |
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109 md = mag; |
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110 endif |
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111 |
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112 axvec = axis2dlim([vec(phase),vec(md)]); |
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113 axis(axvec); |
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114 plot(phase,md); |
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115 mag = phase = w = []; |
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116 endif |
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117 endfunction |
