📄 sample4.m
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function [ret,x0,str,ts,xts]=sample4(t,x,u,flag);
%SAMPLE4 is the M-file description of the SIMULINK system named SAMPLE4.
% The block-diagram can be displayed by typing: SAMPLE4.
%
% SYS=SAMPLE4(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 SAMPLE4 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 SAMPLE4 with a FLAG of zero:
% [SIZES]=SAMPLE4([],[],[],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',[192,262,766,626])
open_system(sys)
end;
set_param(sys,'algorithm', 'RK-45')
set_param(sys,'Start time', '0.0')
set_param(sys,'Stop time', '5')
set_param(sys,'Min step size', '0.03')
set_param(sys,'Max step size', '0.03')
set_param(sys,'Relative error','1e-3')
set_param(sys,'Return vars', '')
set_param(sys,'Load callback','initcp');
set_param(sys,'AssignWideVectorLines','on');
add_block('built-in/S-Function',[sys,'/','Animation'])
set_param([sys,'/','Animation'],...
'function name','animcp',...
'Mask Display','',...
'position',[380,34,435,66])
add_block('built-in/Mux',[sys,'/','Mux'])
set_param([sys,'/','Mux'],...
'orientation',3,...
'hide name',0,...
'position',[300,70,340,105])
% Subsystem ['Double click',13,'on this for demo.5'].
new_system([sys,'/',['Double click',13,'on this for demo.5']])
set_param([sys,'/',['Double click',13,'on this for demo.5']],'Location',[-10,380,117,533])
set_param([sys,'/',['Double click',13,'on this for demo.5']],...
'Mask Display','Variable Initialization',...
'Mask Dialogue','eval(''initcp'')')
% Finished composite block ['Double click',13,'on this for demo.5'].
set_param([sys,'/',['Double click',13,'on this for demo.5']],...
'hide name',0,...
'Drop Shadow',4,...
'position',[15,242,156,275])
% Subsystem ['Cart & Pole',13,'Dynamics'].
new_system([sys,'/',['Cart & Pole',13,'Dynamics']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics']],'Location',[362,320,1162,625])
add_block('built-in/Integrator',[sys,'/',['Cart & Pole',13,'Dynamics/theta dot']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/theta dot']],...
'Initial','init_cond(2)',...
'position',[435,85,455,105])
add_block('built-in/Fcn',[sys,'/',['Cart & Pole',13,'Dynamics/Fcn1']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/Fcn1']],...
'hide name',0,...
'Expr','(g*u(2)+u(3)*((-u(1)-m*l*u(4)*u(4)*u(2))/(mc+m)))/(l*(4/3-(m*u(3)*u(3))/(mc+m)))',...
'position',[350,85,390,105])
add_block('built-in/Outport',[sys,'/',['Cart & Pole',13,'Dynamics/out_4']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/out_4']],...
'Port','4',...
'position',[675,205,695,225])
add_block('built-in/Outport',[sys,'/',['Cart & Pole',13,'Dynamics/out_3']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/out_3']],...
'Port','3',...
'position',[675,165,695,185])
add_block('built-in/Outport',[sys,'/',['Cart & Pole',13,'Dynamics/out_2']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/out_2']],...
'Port','2',...
'position',[675,125,695,145])
add_block('built-in/Outport',[sys,'/',['Cart & Pole',13,'Dynamics/out_1']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/out_1']],...
'position',[670,85,690,105])
add_block('built-in/Fcn',[sys,'/',['Cart & Pole',13,'Dynamics/Fcn5']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/Fcn5']],...
'hide name',0,...
'Expr','cos(u[1])',...
'position',[145,118,200,142])
add_block('built-in/Fcn',[sys,'/',['Cart & Pole',13,'Dynamics/Fcn4']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/Fcn4']],...
'hide name',0,...
'position',[145,89,200,111])
add_block('built-in/Integrator',[sys,'/',['Cart & Pole',13,'Dynamics/theta']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/theta']],...
'Initial','init_cond(1)',...
'position',[505,85,525,105])
add_block('built-in/Integrator',[sys,'/',['Cart & Pole',13,'Dynamics/x']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/x']],...
'Initial','init_cond(3)',...
'position',[570,220,590,240])
add_block('built-in/Inport',[sys,'/',['Cart & Pole',13,'Dynamics/in_1']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/in_1']],...
'position',[205,60,225,80])
add_block('built-in/Mux',[sys,'/',['Cart & Pole',13,'Dynamics/Mux1']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/Mux1']],...
'hide name',0,...
'position',[280,65,315,120])
add_block('built-in/Integrator',[sys,'/',['Cart & Pole',13,'Dynamics/x dot']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/x dot']],...
'Initial','init_cond(4)',...
'position',[510,220,530,240])
add_block('built-in/Fcn',[sys,'/',['Cart & Pole',13,'Dynamics/Fcn2']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/Fcn2']],...
'hide name',0,...
'Expr','(u(1)+m*l*(u(4)*u(4)*u(2)-u(5)*u(3)))/(mc+m)',...
'position',[450,220,490,240])
add_block('built-in/Mux',[sys,'/',['Cart & Pole',13,'Dynamics/Mux2']])
set_param([sys,'/',['Cart & Pole',13,'Dynamics/Mux2']],...
'hide name',0,...
'inputs','[4,1]',...
'position',[400,208,430,252])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[530,95;570,95;570,30;125,30;125,130;140,130])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[125,100;140,100])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[320,95;330,95;330,220;395,220])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[205,130;240,130;240,100;275,100])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[205,100;230,100;230,85;275,85])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[460,95;500,95])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[475,95;475,135;670,135])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[475,135;255,135;255,115;275,115])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[395,95;430,95])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[415,95;415,125;370,125;370,240;395,240])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[535,230;565,230])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[495,230;505,230])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[435,230;445,230])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[320,95;345,95])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[535,230;550,230;550,215;670,215])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[595,230;620,230;620,175;670,175])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[230,70;275,70])
add_line([sys,'/',['Cart & Pole',13,'Dynamics']],[570,95;665,95])
set_param([sys,'/',['Cart & Pole',13,'Dynamics']],...
'Mask Display','plot(-4,-1,4,6,[0 3 2.8 -0.2 0],[1 5 5.15 1.15 1],[-1 -1 1 1 -1],[1 0 0 1 1],[-3.5 3.5],[0 0])',...
'Mask Type','Cart & Pole')
set_param([sys,'/',['Cart & Pole',13,'Dynamics']],...
'Mask Dialogue','Inverted Pendulum (cart & pole)|Initial Conditions (angle, angular velocity, cart position and cart velocity):|Physical Specifications (pole length, pole mass, cart mass and g):')
set_param([sys,'/',['Cart & Pole',13,'Dynamics']],...
'Mask Translate','init_cond = @1; specs = @2;l=specs(1)/2;m=specs(2);mc=specs(3);g=specs(4);',...
'Mask Help','Inverted Pendulum',...
'Mask Entries','[0, 0, 0, 0]\/[1.0, 0.1, 1.0, 9.8]\/')
% Finished composite block ['Cart & Pole',13,'Dynamics'].
set_param([sys,'/',['Cart & Pole',13,'Dynamics']],...
'position',[240,155,290,210])
add_block('built-in/Constant',[sys,'/',['Target Position',13,'(Mouse-Driven)']])
set_param([sys,'/',['Target Position',13,'(Mouse-Driven)']],...
'orientation',3,...
'move name',0,...
'Value','0.153846',...
'position',[102,185,128,205])
add_block('built-in/Constant',[sys,'/','Constant'])
set_param([sys,'/','Constant'],...
'orientation',3,...
'move name',0,...
'position',[81,155,99,175])
add_block('built-in/Switch',[sys,'/','Switch'])
set_param([sys,'/','Switch'],...
'position',[140,114,165,146])
add_block('built-in/Signal Generator',[sys,'/','Target Position'])
set_param([sys,'/','Target Position'],...
'Peak','1.500000',...
'Peak Range','7.500000',...
'Freq','0.628320',...
'Freq Range','1.000000',...
'Wave','Sqr',...
'Units','Rads',...
'position',[15,103,60,137])
add_block('built-in/Sum',[sys,'/','Sum1'])
set_param([sys,'/','Sum1'],...
'hide name',0,...
'inputs','-+',...
'position',[190,175,210,195])
add_block('built-in/Mux',[sys,'/','Mux3'])
set_param([sys,'/','Mux3'],...
'hide name',0,...
'inputs','2',...
'position',[430,189,460,216])
add_block('built-in/Scope',[sys,'/','Scope3'])
set_param([sys,'/','Scope3'],...
'hide name',0,...
'Vgain','1.000000',...
'Hgain','10.000000',...
'Vmax','2.000000',...
'Hmax','20.000000',...
'Window',[241,540,521,760],...
'position',[480,192,500,218])
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