Mercurial > hg > octave-nkf
view scripts/control/freqresp.m @ 3297:b68ef5dec3bd
[project @ 1999-10-19 17:52:27 by jwe]
author | jwe |
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date | Tue, 19 Oct 1999 17:52:30 +0000 |
parents | f7e4a95916f2 |
children | 8dd4718801fd |
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# Copyright (C) 1996,1998 Auburn University. All Rights Reserved # # This file is part of Octave. # # Octave is free software; you can redistribute it and/or modify it # under the terms of the GNU General Public License as published by the # Free Software Foundation; either version 2, or (at your option) any # later version. # # Octave is distributed in the hope that it will be useful, but WITHOUT # ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or # FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License # for more details. # # You should have received a copy of the GNU General Public License # along with Octave; see the file COPYING. If not, write to the Free # Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA. function [ff,w] = freqresp(sys,USEW,w); # function [ff,w] = freqresp(sys,USEW{,w}); # Frequency response function - used internally by bode, nyquist. # minimal argument checking; "do not attempt to do this at home" # USEW returned by freqchkw # w: optional, must be present if USEW is given # # returns: ff = vector of finite G(j*w) entries (or || G(j*w) || for MIMO) # w = vector of frequencies used # ff and w are both returned as row vectors # Written by: R. Bruce Tenison July 11, 1994 # SYS_INTERNAL accesses members of system data structure save_val = empty_list_elements_ok; empty_list_elements_ok = 1; # Check Args if( (nargin < 2) || (nargin > 4) ) usage ("[ff,w] = freqresp(sys,USEW{,w})"); elseif( USEW & (nargin < 3) ) error("USEW=1 but w was not passed."); elseif( USEW & isempty(w)) warning("USEW=1 but w is empty; setting USEW=0"); USEW=0; endif DIGITAL = is_digital(sys); # compute default w if needed if(!USEW) if(is_siso(sys)) sys = sysupdate(sys,"zp"); [zer,pol] = sys2zp(sys); else zer = tzero(sys); pol = eig(sys2ss(sys)); endif # get default frequency range [wmin,wmax] = bode_bounds(zer,pol,DIGITAL,sysgettsam(sys)); w = logspace(wmin,wmax,50); else w = reshape(w,1,length(w)); # make sure it's a row vector endif # now get complex values of s or z if(DIGITAL) jw = exp(i*w*sysgettsam(sys)); else jw = i*w; endif [nn,nz,mm,pp] = sysdimensions(sys); # now compute the frequency response - divide by zero yields a warning if (strcmp(sysgettype(sys),"zp")) # zero-pole form (preferred) [zer,pol,sysk] = sys2zp(sys); ff = ones(size(jw)); l1 = min(length(zer)*(1-isempty(zer)),length(pol)*(1-isempty(pol))); for ii=1:l1 ff = ff .* (jw - zer(ii)) ./ (jw - pol(ii)); endfor # require proper transfer function, so now just get poles. for ii=(l1+1):length(pol) ff = ff ./ (jw - pol(ii)); endfor ff = ff*sysk; elseif (strcmp(sysgettype(sys),"tf")) # transfer function form [num,den] = sys2tf(sys); ff = polyval(num,jw)./polyval(den,jw); elseif (mm==pp) # The system is square; do state-space form bode plot [sysa,sysb,sysc,sysd,tsam,sysn,sysnz] = sys2ss(sys); n = sysn + sysnz; for ii=1:length(jw); ff(ii) = det(sysc*((jw(ii).*eye(n)-sysa)\sysb)+sysd); endfor; else # Must be state space... bode [sysa,sysb,sysc,sysd,tsam,sysn,sysnz] = sys2ss(sys); n = sysn + sysnz; for ii=1:length(jw); ff(ii) = norm(sysc*((jw(ii)*eye(n)-sysa)\sysb)+sysd); endfor endif w = reshape(w,1,length(w)); ff = reshape(ff,1,length(ff)); # restore global variable empty_list_elements_ok = save_val; endfunction