📄 multi.m
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function [ret,x0,str,ts,xts]=multi(t,x,u,flag);
%MULTI is the M-file description of the SIMULINK system named MULTI.
% The block-diagram can be displayed by typing: MULTI.
%
% SYS=MULTI(T,X,U,FLAG) returns depending on FLAG certain
% system values given time point, T, current state vector, X,
% and input vector, U.
% FLAG is used to indicate the type of output to be returned in SYS.
%
% Setting FLAG=1 causes MULTI to return state derivatives, FLAG=2
% discrete states, FLAG=3 system outputs and FLAG=4 next sample
% time. For more information and other options see SFUNC.
%
% Calling MULTI with a FLAG of zero:
% [SIZES]=MULTI([],[],[],0), returns a vector, SIZES, which
% contains the sizes of the state vector and other parameters.
% SIZES(1) number of states
% SIZES(2) number of discrete states
% SIZES(3) number of outputs
% SIZES(4) number of inputs.
% For the definition of other parameters in SIZES, see SFUNC.
% See also, TRIM, LINMOD, LINSIM, EULER, RK23, RK45, ADAMS, GEAR.
% Note: This M-file is only used for saving graphical information;
% after the model is loaded into memory an internal model
% representation is used.
% the system will take on the name of this mfile:
sys = mfilename;
new_system(sys)
simver(1.3)
if (0 == (nargin + nargout))
set_param(sys,'Location',[10,72,526,386])
open_system(sys)
end;
set_param(sys,'algorithm', 'Euler')
set_param(sys,'Start time', '0.0')
set_param(sys,'Stop time', '999999')
set_param(sys,'Min step size', '0.01')
set_param(sys,'Max step size', '10')
set_param(sys,'Relative error','1e-3')
set_param(sys,'Return vars', '')
set_param(sys,'Load callback','multidat');
set_param(sys,'AssignWideVectorLines','on');
add_block('built-in/Note',[sys,'/',['Multivariate Lines and Full State Feedback',13,'(Double click on the "?" for more info)']])
set_param([sys,'/',['Multivariate Lines and Full State Feedback',13,'(Double click on the "?" for more info)']],...
'position',[209,225,214,230])
% Subsystem 'More Info'.
new_system([sys,'/','More Info'])
set_param([sys,'/','More Info'],'Location',[0,0,415,157])
add_block('built-in/Note',[sys,'/',['More Info/This demonstration shows how multivariate lines can be ',13,'used for full state feedback and control of a MIMO system.']])
set_param([sys,'/',['More Info/This demonstration shows how multivariate lines can be ',13,'used for full state feedback and control of a MIMO system.']],...
'position',[192,25,197,30])
add_block('built-in/Note',[sys,'/',['More Info/Use the signal generators and scopes to observe how ',13,'the system is modeled, or try to improve the controller.']])
set_param([sys,'/',['More Info/Use the signal generators and scopes to observe how ',13,'the system is modeled, or try to improve the controller.']],...
'position',[191,75,196,80])
set_param([sys,'/','More Info'],...
'Mask Display','?')
% Finished composite block 'More Info'.
set_param([sys,'/','More Info'],...
'hide name',0,...
'Drop Shadow',4,...
'position',[355,225,382,250])
add_block('built-in/State-Space',[sys,'/','Plant'])
set_param([sys,'/','Plant'],...
'A','a',...
'B','b',...
'C','c',...
'D','d',...
'position',[205,85,290,135])
add_block('built-in/Demux',[sys,'/','demux'])
set_param([sys,'/','demux'],...
'position',[335,90,385,130])
add_block('built-in/Scope',[sys,'/','Y3'])
set_param([sys,'/','Y3'],...
'Vgain','10.000000',...
'Hgain','20.000000',...
'Vmax','20.000000',...
'Hmax','40.000000',...
'Window',[100,100,380,320],...
'position',[445,130,470,160])
add_block('built-in/Scope',[sys,'/','Y2'])
set_param([sys,'/','Y2'],...
'Vgain','20.000000',...
'Hgain','20.000000',...
'Vmax','40.000000',...
'Hmax','40.000000',...
'Window',[0,0,280,220],...
'position',[445,60,470,90])
add_block('built-in/Scope',[sys,'/','Y1'])
set_param([sys,'/','Y1'],...
'Vgain','20.000000',...
'Hgain','20.000000',...
'Vmax','40.000000',...
'Hmax','40.000000',...
'Window',[0,0,280,220],...
'position',[445,5,470,35])
add_block('built-in/Mux',[sys,'/','mux'])
set_param([sys,'/','mux'],...
'inputs','3',...
'position',[90,100,130,130])
add_block('built-in/Signal Generator',[sys,'/','U1'])
set_param([sys,'/','U1'],...
'Peak','0.491200',...
'Peak Range','1.000000',...
'Freq','4.000000',...
'Freq Range','4.000000',...
'Wave','Sin',...
'Units','Rads',...
'position',[25,23,70,57])
add_block('built-in/Signal Generator',[sys,'/','U2'])
set_param([sys,'/','U2'],...
'Peak','0.130000',...
'Peak Range','1.000000',...
'Freq','6.000000',...
'Freq Range','6.000000',...
'Wave','Sin',...
'Units','Rads',...
'position',[25,98,70,132])
add_block('built-in/Signal Generator',[sys,'/','U3'])
set_param([sys,'/','U3'],...
'Peak','0.160000',...
'Peak Range','1.000000',...
'Freq','1.000000',...
'Freq Range','1.000000',...
'Wave','Sin',...
'Units','Rads',...
'position',[25,183,70,217])
add_block('built-in/Sum',[sys,'/','e'])
set_param([sys,'/','e'],...
'hide name',0,...
'position',[170,92,185,123])
add_block('built-in/Scope',[sys,'/','Y4'])
set_param([sys,'/','Y4'],...
'Vgain','10.000000',...
'Hgain','20.000000',...
'Vmax','20.000000',...
'Hmax','40.000000',...
'Window',[100,100,380,320],...
'position',[445,185,470,215])
add_block('built-in/State-Space',[sys,'/','Controller'])
set_param([sys,'/','Controller'],...
'orientation',2,...
'A','eye(size(a))',...
'B','ones(size(c''))',...
'C','ones(size(b''))',...
'D','zeros(size(d''))',...
'position',[205,9,290,61])
add_line(sys,[295,110;330,110])
add_line(sys,[310,110;310,35;295,35])
add_line(sys,[200,35;150,35;150,100;165,100])
add_line(sys,[135,115;165,115])
add_line(sys,[190,110;200,110])
add_line(sys,[75,40;85,105])
add_line(sys,[75,115;85,115])
add_line(sys,[75,200;85,125])
add_line(sys,[390,125;400,125;400,200;440,200])
add_line(sys,[390,95;400,95;400,20;440,20])
add_line(sys,[390,115;410,115;410,145;440,145])
add_line(sys,[390,105;410,105;410,75;440,75])
drawnow
% Return any arguments.
if (nargin | nargout)
% Must use feval here to access system in memory
if (nargin > 3)
if (flag == 0)
eval(['[ret,x0,str,ts,xts]=',sys,'(t,x,u,flag);'])
else
eval(['ret =', sys,'(t,x,u,flag);'])
end
else
[ret,x0,str,ts,xts] = feval(sys);
end
end
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