function?varargout?=?bodeFr（F?Q?w?delay）

%?[gain?phase?w]?=?bodeFr（F?Q?w?delay）
%?Bode?diagram?of?a?fractional?plant.?Paramter?w?may?be?a?vector?with?the
%?frequencies?of?the?plot?（in?rad/s）?or?a?cell?with?the?limits?of?the
%?frequency?range?of?the?plot?（in?rad/s）.?If?empty?a?suitable?range?is
%?provided.?
%?F?may?be?of?the?form?[P?I?lambda?D?mu]?in?which?case?the?plant?is
%?P?+?I/（s^lambda）?+?D*（s^mu）?and?parameter?Q?is?irrelevant;?or?be?an?lti
%?object?in?which?case?Q?will?be?the?commensurate?order?（the?default?value
%?of?which?will?be?1.?For?instance?plant?1/（1+s^.5）?correponds?to
%?F?=?tf（1[1?1]）?and?Q?=?0.5.
%?Parameter?delay?is?an?optional?delay?the?default?being?0.
%?A?Bode?diagram?is?plot?if?there?are?no?return?values.
%?Otherwise?the?function?returns?the?gain?（absolute?value）?and?the?phase
%?（in?degrees）?at?frequencies?w?（in?rad/s）.
%?Duarte?Val閞io?2004

if?nargin?if?nargin?????try?%?F?is?given?as?an?ltimodel
????????temp?=?abs（[tzero（F）;?pole（F）]）;
????catch?%?length（F）?==?5?F?is?given?as?a?list?of?parameters?for?a?fractional?PID
????????P?=?F（1）;?I?=?F（2）;?lambda?=?F（3）;?D?=?F（4）;?mu?=?F（5）;
????????temp?=?sort（[abs（（-P+sqrt（P^2-4*D*I））/（2*D））?abs（（-P-sqrt（P^2-4*D*I））/（2*D））]）;
????end?%?now?temp?has?the?zeros?and?poles?of?the?plant
????if?min（temp）
????????wmax?=?10^ceil（log10（max（temp）））?*?100;?%limits?are?powers?of?10
????????wmin?=?10^floor（log10（min（temp）））?/?100;
????else?%?temp?has?zeros
????????wmax?=?100;
????????wmin?=?.01;
????end
????w?=?logspace（log10（wmin）?log10（wmax）?10?*?ceil（log10（wmax/wmin）））;
end
%?there?are?10?frequencies?per?decade
if?iscell（w）?%?only?wmax?and?wmin?were?provided
????wmin?=?w{1};
????wmax?=?w{2};
????w?=?logspace（log10（wmin）?log10（wmax）?10?*?ceil（log10（wmax/wmin）））;
end
if?nargin?
resp?=?freqrespFr（F?Q?w?delay）;?%?freqrespFr?does?the?important?work
gain?=?abs（resp）;
phase?=?rad2deg（unwrap（angle（resp）））;

if?nargout?==?0?%?there?are?no?output?variables?draw?a?plot
????subplot（211）
????semilogx（w?20*log10（gain））
????grid?on
????title（‘Bode?diagram‘）
????xlabel（‘frequency?/?rad?s^{-1}‘）
????ylabel（‘gain?/?dB‘）
????subplot（212）
????semilogx（w?phase）
????grid?on
????ylabel（‘phase?/??）
else
????varargout{1}?=?gain;?%?absolute?value?（NOT?dB）
????if?nargout?>?1?varargout{2}?=?phase;?end?%?degrees
????if?nargout?>?2?varargout{3}?=?w;?end?%?rad/s
end

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件?????????324??2003-09-22?23:14??degrad.zip
?????文件?????1371463??2007-04-08?09:53??ninteger?Manual.pdf
?????文件????????2584??2005-08-17?12:46??ninteger\bodeFr.m
?????目錄???????????0??2005-05-06?10:50??ninteger\cfractions\
?????文件?????????977??2002-07-18?13:56??ninteger\cfractions\contfrac.m
?????文件????????1345??2004-08-24?11:23??ninteger\cfractions\contfraceval.m
?????文件?????????872??2003-08-04?09:44??ninteger\cfractions\contfracf.m
?????文件????????1106??2002-07-24?18:20??ninteger\cfractions\contfracfeval.m
?????文件????????2658??2005-08-17?18:01??ninteger\contents.m
?????文件????????1779??2005-08-17?11:36??ninteger\crone1.m
?????文件????????7442??2005-07-04?11:48??ninteger\crone2.m
?????文件????????8274??2005-07-07?13:05??ninteger\crone2z.m
?????文件???????14716??2004-02-16?18:34??ninteger\crone3.m
?????文件????????1416??2005-07-14?12:13??ninteger\freqrespFr.m
?????目錄???????????0??2005-08-05?18:22??ninteger\gui\
?????文件???????51512??2003-09-22?12:43??ninteger\gui\crone2Gui.fig
?????文件???????29634??2004-07-27?14:03??ninteger\gui\crone2Gui.m
?????文件???????29376??2003-09-22?23:33??ninteger\gui\crone3Gui1.fig
?????文件???????13312??2003-09-22?23:54??ninteger\gui\crone3Gui1.m
?????文件???????34016??2003-09-22?12:45??ninteger\gui\crone3Gui2.fig
?????文件???????10768??2003-09-19?19:33??ninteger\gui\crone3Gui2.m
?????文件?????????359??2003-09-11?12:14??ninteger\gui\isinteger.m
?????文件????????7266??2005-08-05?18:33??ninteger\gui\ninteger.fig
?????文件???????42893??2005-08-16?13:52??ninteger\gui\ninteger.m
?????文件????????4765??2005-08-16?14:16??ninteger\gui\nipidGui.fig
?????文件???????17054??2005-08-16?17:18??ninteger\gui\nipidGui.m
?????文件????????1363??2004-01-19?21:58??ninteger\hartley.m
?????文件????????3387??2005-07-12?13:38??ninteger\lawro.m
?????文件????????3431??2005-07-28?17:08??ninteger\levy.m
?????文件?????????762??2003-07-30?20:48??ninteger\matsudaCFE.m
?????文件????????1927??2005-06-29?15:48??ninteger\newton.m
............此處省略19個文件信息