📄 turand.m
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function [ret,x0,str,ts,xts]=turand(t,x,u,flag);
%TURAND is the M-file description of the SIMULINK system named TURAND.
% The block-diagram can be displayed by typing: TURAND.
%
% SYS=TURAND(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 TURAND 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 TURAND with a FLAG of zero:
% [SIZES]=TURAND([],[],[],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
% SIZES(5) number of roots (currently unsupported)
% SIZES(6) direct feedthrough flag
% SIZES(7) number of sample times
%
% 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',[64,142,459,275])
open_system(sys)
end;
set_param(sys,'algorithm', 'RK-45')
set_param(sys,'Start time', '0.0')
set_param(sys,'Stop time', '999')
set_param(sys,'Min step size', '0.0001')
set_param(sys,'Max step size', '10')
set_param(sys,'Relative error','1e-3')
set_param(sys,'Return vars', '')
add_block('built-in/Mux',[sys,'/','Mux'])
set_param([sys,'/','Mux'],...
'hide name',0,...
'inputs','3',...
'position',[255,22,290,78])
% Subsystem 'Graph'.
new_system([sys,'/','Graph'])
set_param([sys,'/','Graph'],'Location',[0,59,274,252])
add_block('built-in/Inport',[sys,'/','Graph/x'])
set_param([sys,'/','Graph/x'],...
'position',[65,55,85,75])
add_block('built-in/S-Function',[sys,'/',['Graph/S-function',13,'M-file which plots',13,'lines',13,'']])
set_param([sys,'/',['Graph/S-function',13,'M-file which plots',13,'lines',13,'']],...
'function name','sfuny',...
'parameters','ax, color,dt',...
'position',[130,55,180,75])
add_line([sys,'/','Graph'],[90,65;125,65])
set_param([sys,'/','Graph'],...
'Mask Display','plot(0,0,100,100,[90,10,10,10,90,90,10],[65,65,90,40,40,90,90],[90,78,69,54,40,31,25,10],[77,60,48,46,56,75,81,84])',...
'Mask Type','Graph scope.')
set_param([sys,'/','Graph'],...
'Mask Dialogue','Graph scope using MATLAB graph window.\nEnter plotting ranges and line type:|Time range:|y-min:|y-max:|Line type (rgbw-:*). Seperate each plot by ''/'':|Sample time:')
set_param([sys,'/','Graph'],...
'Mask Translate','color = @4; ax = [0, @1, @2, @3]; dt = @5;')
set_param([sys,'/','Graph'],...
'Mask Help','This block plots to the MATLAB graph window and can be used as an improved version of the Scope block. Look at the m-file sfuny.m to see how it works. This block can take scalar or vector input signal.')
set_param([sys,'/','Graph'],...
'Mask Entries','20\/0\/.6\/''y-/g--/y-./g:/m*/ro/b+''\/.1\/')
% Finished composite block 'Graph'.
set_param([sys,'/','Graph'],...
'hide name',0,...
'position',[320,31,350,69])
add_block('built-in/Constant',[sys,'/','Expected value'])
set_param([sys,'/','Expected value'],...
'Value','[.5 1/12]',...
'position',[125,80,190,100])
% Subsystem 'Mean and var'.
new_system([sys,'/','Mean and var'])
set_param([sys,'/','Mean and var'],'Location',[16,148,774,399])
add_block('built-in/Inport',[sys,'/','Mean and var/Actual'])
set_param([sys,'/','Mean and var/Actual'],...
'position',[25,35,45,55])
add_block('built-in/Digital Clock',[sys,'/','Mean and var/Digital Clock'])
set_param([sys,'/','Mean and var/Digital Clock'],...
'Sample time','Ts',...
'position',[45,80,80,110])
add_block('built-in/Fcn',[sys,'/','Mean and var/Fcn2'])
set_param([sys,'/','Mean and var/Fcn2'],...
'Expr','u[1]/Ts +1',...
'position',[105,83,165,107])
add_block('built-in/Unit Delay',[sys,'/','Mean and var/Unit Delay1'])
set_param([sys,'/','Mean and var/Unit Delay1'],...
'orientation',2,...
'Sample time','Ts',...
'position',[350,87,400,103])
add_block('built-in/Outport',[sys,'/','Mean and var/mean value'])
set_param([sys,'/','Mean and var/mean value'],...
'position',[545,45,565,65])
add_block('built-in/Mux',[sys,'/','Mean and var/Mux1'])
set_param([sys,'/','Mean and var/Mux1'],...
'inputs','3',...
'position',[235,39,265,71])
add_block('built-in/Fcn',[sys,'/','Mean and var/Fcn3'])
set_param([sys,'/','Mean and var/Fcn3'],...
'Expr','(u[3]*(u[2]-1) + u[1])/u[2]',...
'position',[290,41,465,69])
add_block('built-in/Mux',[sys,'/','Mean and var/Mux'])
set_param([sys,'/','Mean and var/Mux'],...
'inputs','3',...
'position',[235,134,265,166])
add_block('built-in/Unit Delay',[sys,'/','Mean and var/Unit Delay'])
set_param([sys,'/','Mean and var/Unit Delay'],...
'orientation',2,...
'Sample time','Ts',...
'position',[345,192,395,208])
add_block('built-in/Fcn',[sys,'/','Mean and var/Fcn'])
set_param([sys,'/','Mean and var/Fcn'],...
'Expr','(u[3]*(u[2]-1) + u[1]*u[1])/u[2]',...
'position',[290,136,465,164])
add_block('built-in/Sum',[sys,'/','Mean and var/Sum'])
set_param([sys,'/','Mean and var/Sum'],...
'inputs','-+',...
'position',[645,135,665,155])
add_block('built-in/Mux',[sys,'/','Mean and var/Mux2'])
set_param([sys,'/','Mean and var/Mux2'],...
'inputs','2',...
'position',[515,101,545,134])
add_block('built-in/Fcn',[sys,'/','Mean and var/Fcn4'])
set_param([sys,'/','Mean and var/Fcn4'],...
'Expr','u[1]*u[1]',...
'position',[555,107,620,133])
add_block('built-in/Outport',[sys,'/',['Mean and var/Mean',13,'Squared',13,'Error1']])
set_param([sys,'/',['Mean and var/Mean',13,'Squared',13,'Error1']],...
'Port','2',...
'position',[700,135,720,155])
add_line([sys,'/','Mean and var'],[85,95;100,95])
add_line([sys,'/','Mean and var'],[340,200;220,200;230,160])
add_line([sys,'/','Mean and var'],[270,150;285,150])
add_line([sys,'/','Mean and var'],[270,55;285,55])
add_line([sys,'/','Mean and var'],[170,95;190,95;190,150;230,150])
add_line([sys,'/','Mean and var'],[190,95;190,55;230,55])
add_line([sys,'/','Mean and var'],[345,95;210,95;210,65;230,65])
add_line([sys,'/','Mean and var'],[50,45;230,45])
add_line([sys,'/','Mean and var'],[200,45;200,140;230,140])
add_line([sys,'/','Mean and var'],[470,150;480,150;480,200;400,200])
add_line([sys,'/','Mean and var'],[480,150;640,150])
add_line([sys,'/','Mean and var'],[625,120;625,140;640,140])
add_line([sys,'/','Mean and var'],[470,55;540,55])
add_line([sys,'/','Mean and var'],[495,55;495,95;405,95])
add_line([sys,'/','Mean and var'],[495,95;495,110;510,110])
add_line([sys,'/','Mean and var'],[190,125;510,125])
add_line([sys,'/','Mean and var'],[550,120;550,120])
add_line([sys,'/','Mean and var'],[670,145;695,145])
set_param([sys,'/','Mean and var'],...
'Mask Display','Mean\n& var',...
'Mask Type','Running mean and var',...
'Mask Dialogue','Output the running mean to 1st outport\nand running variant to 2nd outport.|Sample time (sec):')
set_param([sys,'/','Mean and var'],...
'Mask Translate','Ts=@1;',...
'Mask Help','This block updates the running mean and variant value at sampling time point. The mean and var values are outputted into 1st and 2nd outports respectively.')
set_param([sys,'/','Mean and var'],...
'Mask Entries','.1\/')
% Finished composite block 'Mean and var'.
set_param([sys,'/','Mean and var'],...
'hide name',0,...
'position',[135,18,215,62])
% Subsystem ['Uniform noise',13,'generator1'].
new_system([sys,'/',['Uniform noise',13,'generator1']])
set_param([sys,'/',['Uniform noise',13,'generator1']],'Location',[420,594,637,734])
add_block('built-in/Outport',[sys,'/',['Uniform noise',13,'generator1/out_1']])
set_param([sys,'/',['Uniform noise',13,'generator1/out_1']],...
'position',[165,65,185,85])
add_block('built-in/S-Function',[sys,'/',['Uniform noise',13,'generator1/Uniform',13,'noise']])
set_param([sys,'/',['Uniform noise',13,'generator1/Uniform',13,'noise']],...
'function name','surandom',...
'parameters','seed,up,low',...
'position',[65,55,135,95])
add_line([sys,'/',['Uniform noise',13,'generator1']],[140,75;160,75])
set_param([sys,'/',['Uniform noise',13,'generator1']],...
'Mask Display','plot(0,0,100,100,x,y);Uniform',...
'Mask Type','Uniform noise generator')
set_param([sys,'/',['Uniform noise',13,'generator1']],...
'Mask Dialogue','Generate uniformly distributed noise\nbetween the upper and lower bounds.|Noise lower bound:|Noise upper bound:|Seed:')
set_param([sys,'/',['Uniform noise',13,'generator1']],...
'Mask Translate','seed=@3;up=@2;low=@1;[x,y]=srcsicon(3);')
set_param([sys,'/',['Uniform noise',13,'generator1']],...
'Mask Help','This block generates a uniformly distributed noise between the given lower and upper bounds. The output size is the same as the vector length of the seed. The upper bound and lower bound can be scalar or vectors with their lengths the same as the length for the seed. The vector length of upper bound must be the same as length of lower bound.')
set_param([sys,'/',['Uniform noise',13,'generator1']],...
'Mask Entries','0\/1\/12345\/')
% Finished composite block ['Uniform noise',13,'generator1'].
set_param([sys,'/',['Uniform noise',13,'generator1']],...
'hide name',0,...
'position',[15,18,95,62])
add_line(sys,[220,30;250,30])
add_line(sys,[220,50;250,50])
add_line(sys,[100,40;130,40])
add_line(sys,[295,50;315,50])
add_line(sys,[195,90;220,90;220,70;250,70])
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
else
drawnow % Flash up the model and execute load callback
end
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