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- function [a,b,c,d] = series(a1,b1,c1,d1,a2,b2,c2,d2,e,f)
- %SERIES Series connection of two systems.
- %
- % u --->[System1]--->[System2]----> y
- %
- % [A,B,C,D] = SERIES(A1,B1,C1,D1,A2,B2,C2,D2) produces an aggregate
- % state-space system consisting of the series connection of systems
- % 1 and 2 that connects all the outputs of system 1 connected to
- % all the inputs of system 2, u2 = y1. The resulting system has
- % the inputs of system 1 and the outputs of system 2.
- %
- % [A,B,C,D] = SERIES(A1,B1,C1,D1,A2,B2,C2,D2,OUTPUTS1,INPUTS2)
- % connects the two system in series such that the outputs of system
- % 1 specified by OUTPUTS1 are connected to the inputs of system 2
- % specified by INPUTS2. The vectors OUTPUTS1 and INPUTS2 contain
- % indexes into the output and inputs of system 1 and system 2
- % respectively.
- %
- % [NUM,DEN] = SERIES(NUM1,DEN1,NUM2,DEN2) produces the SISO system
- % in transfer function form obtained by connecting the two SISO
- % transfer function systems in series.
- %
- % See also: APPEND,PARALLEL,FEEDBACK and CLOOP.
-
- % Clay M. Thompson 6-29-90
- % Copyright (c) 1986-93 by the MathWorks, Inc.
-
- error(nargchk(4,10,nargin));
-
- % --- Determine which syntax is being used ---
- if (nargin == 4) % Form Series connection of T.F. system ---
- [num1,den1] = tfchk(a1,b1); [num2,den2] = tfchk(c1,d1);
- a = conv(num1,num2);
- b = conv(den1,den2);
-
- elseif ((nargin>=5) & (nargin<=7)) | (nargin==9)
- error('Wrong number of input arguments.');
-
- elseif (nargin==8) | (nargin==10) % State space systems
- error(abcdchk(a1,b1,c1,d1));
- error(abcdchk(a2,b2,c2,d2));
-
- % Get number of inputs and outputs
- [ny1,nu1] = size(d1);
- if (nu1 == 0), [dum, nu1] = size(b1); [ny2, dum] = size(c1); end
- [ny2,nu2] = size(d2);
- if (nu2 == 0), [dum, nu2] = size(b2); [ny2, dum] = size(c2); end
-
- if (nargin == 8) % State space systems w/o selection vectors
- inputs1 = [1:nu1]; outputs1 = [1:ny1];
- inputs2 = [1:nu2]+nu1; outputs2 = [1:ny2]+ny1;
- end
- if (nargin == 10) % State space systems with selection vectors
- inputs1 = [1:nu1]; outputs1 = e;
- inputs2 = f+nu1; outputs2 = [1:ny2]+ny1;
- end
-
- % Check sizes
- if (length(outputs1)~=length(inputs2))
- error('Series connection sizes don''t match.'); end
-
- % --- Series Connection ---
- [a,b,c,d] = append(a1,b1,c1,d1,a2,b2,c2,d2);
- [a,b,c,d] = cloop(a,b,c,d,outputs1,inputs2);
- [a,b,c,d] = ssselect(a,b,c,d,inputs1,outputs2);
- end
-