📄 tgrand.m
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function [ret,x0,str,ts,xts]=tgrand(t,x,u,flag);
%TGRAND is the M-file description of the SIMULINK system named TGRAND.
% The block-diagram can be displayed by typing: TGRAND.
%
% SYS=TGRAND(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 TGRAND 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 TGRAND with a FLAG of zero:
% [SIZES]=TGRAND([],[],[],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',[18,235,428,379])
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',[270,29,305,91])
% Subsystem ['Mean and',13,'std'].
new_system([sys,'/',['Mean and',13,'std']])
set_param([sys,'/',['Mean and',13,'std']],'Location',[0,59,274,252])
add_block('built-in/S-Function',[sys,'/',['Mean and',13,'std/S-function',13,'M-file which plots',13,'lines',13,'']])
set_param([sys,'/',['Mean and',13,'std/S-function',13,'M-file which plots',13,'lines',13,'']],...
'function name','sfuny',...
'parameters','ax, color,dt',...
'position',[130,55,180,75])
add_block('built-in/Inport',[sys,'/',['Mean and',13,'std/x']])
set_param([sys,'/',['Mean and',13,'std/x']],...
'position',[65,55,85,75])
add_line([sys,'/',['Mean and',13,'std']],[90,65;125,65])
set_param([sys,'/',['Mean and',13,'std']],...
'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,'/',['Mean and',13,'std']],...
'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,'/',['Mean and',13,'std']],...
'Mask Translate','color = @4; ax = [0, @1, @2, @3]; dt = @5;')
set_param([sys,'/',['Mean and',13,'std']],...
'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,'/',['Mean and',13,'std']],...
'Mask Entries','20\/-.2\/5\/''y-/g--/y-./g:/m*/ro/b+''\/.1\/')
% Finished composite block ['Mean and',13,'std'].
set_param([sys,'/',['Mean and',13,'std']],...
'hide name',0,...
'position',[340,41,370,79])
% Subsystem ['Gaussian noise',13,'generator1'].
new_system([sys,'/',['Gaussian noise',13,'generator1']])
set_param([sys,'/',['Gaussian noise',13,'generator1']],'Location',[545,367,893,491])
add_block('built-in/State-Space',[sys,'/',['Gaussian noise',13,'generator1/Matrix',13,'Gain']])
set_param([sys,'/',['Gaussian noise',13,'generator1/Matrix',13,'Gain']],...
'A','[]',...
'B','[]',...
'C','[]',...
'D','K',...
'Mask Display','K',...
'Mask Type','Matrix Gain',...
'Mask Dialogue','Matrix Gain.|Gain matrix:')
set_param([sys,'/',['Gaussian noise',13,'generator1/Matrix',13,'Gain']],...
'Mask Translate','K = @1;',...
'Mask Help','Multiplies input vector by entered matrix to produce output vector (y=Au).',...
'Mask Entries','d\/')
set_param([sys,'/',['Gaussian noise',13,'generator1/Matrix',13,'Gain']],...
'position',[140,61,165,89])
add_block('built-in/White Noise',[sys,'/',['Gaussian noise',13,'generator1/Random',13,'Number']])
set_param([sys,'/',['Gaussian noise',13,'generator1/Random',13,'Number']],...
'Seed','s',...
'position',[35,57,80,93])
add_block('built-in/Constant',[sys,'/',['Gaussian noise',13,'generator1/Constant']])
set_param([sys,'/',['Gaussian noise',13,'generator1/Constant']],...
'Value','m',...
'position',[140,20,160,40])
add_block('built-in/Sum',[sys,'/',['Gaussian noise',13,'generator1/Sum']])
set_param([sys,'/',['Gaussian noise',13,'generator1/Sum']],...
'position',[220,60,240,80])
add_block('built-in/Outport',[sys,'/',['Gaussian noise',13,'generator1/out_1']])
set_param([sys,'/',['Gaussian noise',13,'generator1/out_1']],...
'position',[285,60,305,80])
add_line([sys,'/',['Gaussian noise',13,'generator1']],[165,30;190,30;190,65;215,65])
add_line([sys,'/',['Gaussian noise',13,'generator1']],[245,70;280,70])
add_line([sys,'/',['Gaussian noise',13,'generator1']],[170,75;215,75])
add_line([sys,'/',['Gaussian noise',13,'generator1']],[85,75;135,75])
set_param([sys,'/',['Gaussian noise',13,'generator1']],...
'Mask Display','plot(0,0,100,100,x,y);Gaussian',...
'Mask Type','Gaussian noise generator')
set_param([sys,'/',['Gaussian noise',13,'generator1']],...
'Mask Dialogue','Generate Gaussian distributed noise with\ngiven mean and variance value.|Mean value:|Variance (vector or matrix):|Initial seed:')
set_param([sys,'/',['Gaussian noise',13,'generator1']],...
'Mask Translate','m=@1;d=@2;s=@3;[m,d,s]=gwnoise(m,d,s);[x,y]=srcsicon(3);')
set_param([sys,'/',['Gaussian noise',13,'generator1']],...
'Mask Help','When the mean value and seed are vectors, the output of this block is a vector. The length of the vector is the same as the length of the mean value vector or the length of the seed. When the variance entry is a vector, the variance is a diagonal matrix.')
set_param([sys,'/',['Gaussian noise',13,'generator1']],...
'Mask Entries','2\/3\/654321\/')
% Finished composite block ['Gaussian noise',13,'generator1'].
set_param([sys,'/',['Gaussian noise',13,'generator1']],...
'hide name',0,...
'position',[25,28,105,72])
add_block('built-in/Constant',[sys,'/','Expected value'])
set_param([sys,'/','Expected value'],...
'Value','[2 3]',...
'position',[150,90,215,110])
% 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/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_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/Mux',[sys,'/','Mean and var/Mux2'])
set_param([sys,'/','Mean and var/Mux2'],...
'inputs','2',...
'position',[515,101,545,134])
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/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/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/Mux',[sys,'/','Mean and var/Mux'])
set_param([sys,'/','Mean and var/Mux'],...
'inputs','3',...
'position',[235,134,265,166])
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/Mux1'])
set_param([sys,'/','Mean and var/Mux1'],...
'inputs','3',...
'position',[235,39,265,71])
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/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/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/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/Inport',[sys,'/','Mean and var/Actual'])
set_param([sys,'/','Mean and var/Actual'],...
'position',[25,35,45,55])
add_line([sys,'/','Mean and var'],[670,145;695,145])
add_line([sys,'/','Mean and var'],[550,120;550,120])
add_line([sys,'/','Mean and var'],[170,95;190,95;190,150;230,150])
add_line([sys,'/','Mean and var'],[190,125;510,125])
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'],[625,120;625,140;640,140])
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'],[50,45;230,45])
add_line([sys,'/','Mean and var'],[200,45;200,140;230,140])
add_line([sys,'/','Mean and var'],[345,95;210,95;210,65;230,65])
add_line([sys,'/','Mean and var'],[190,95;190,55;230,55])
add_line([sys,'/','Mean and var'],[270,55;285,55])
add_line([sys,'/','Mean and var'],[270,150;285,150])
add_line([sys,'/','Mean and var'],[340,200;220,200;230,160])
add_line([sys,'/','Mean and var'],[85,95;100,95])
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',[145,28,225,72])
add_line(sys,[230,40;265,40])
add_line(sys,[230,60;265,60])
add_line(sys,[110,50;140,50])
add_line(sys,[310,60;335,60])
add_line(sys,[220,100;235,100;235,80;265,80])
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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