📄 example6.m
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function [ret,x0,str,ts,xts]=example6(t,x,u,flag);%EXAMPLE6 is the M-file description of the SIMULINK system named EXAMPLE6.% The block-diagram can be displayed by typing: EXAMPLE6.%% SYS=EXAMPLE6(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 EXAMPLE6 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 EXAMPLE6 with a FLAG of zero:% [SIZES]=EXAMPLE6([],[],[],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',[4,58,816,631]) open_system(sys)end;set_param(sys,'algorithm', 'RK-45')set_param(sys,'Start time', '0.0')set_param(sys,'Stop time', '50')set_param(sys,'Min step size', '0.001')set_param(sys,'Max step size', '10')set_param(sys,'Relative error','1e-3')set_param(sys,'Return vars', '')set_param(sys,'AssignWideVectorLines','on');add_block('built-in/Scope',[sys,'/','Tracking error'])set_param([sys,'/','Tracking error'],... 'Vgain','15.000000',... 'Hgain','50.000000',... 'Vmax','30.000000',... 'Hmax','100.000000',... 'Window',[808,616,1130,996],... 'position',[725,83,760,117])add_block('built-in/Sum',[sys,'/','Sum1'])set_param([sys,'/','Sum1'],... 'inputs','-+',... 'position',[655,82,685,118])add_block('built-in/Transfer Fcn',[sys,'/','Reference Model'])set_param([sys,'/','Reference Model'],... 'position',[330,43,410,87])% Subsystem 'Estimator'.new_system([sys,'/','Estimator'])set_param([sys,'/','Estimator'],'Location',[4,58,752,551])add_block('built-in/Integrator',[sys,'/','Estimator/Integrator1'])set_param([sys,'/','Estimator/Integrator1'],... 'Initial','18',... 'position',[405,117,435,163])add_block('built-in/Demux',[sys,'/','Estimator/Demux'])set_param([sys,'/','Estimator/Demux'],... 'position',[260,144,300,186])add_block('built-in/Product',[sys,'/','Estimator/Product'])set_param([sys,'/','Estimator/Product'],... 'position',[210,147,240,183])add_block('built-in/Inport',[sys,'/','Estimator/e1'])set_param([sys,'/','Estimator/e1'],... 'position',[30,47,55,73])add_block('built-in/Inport',[sys,'/','Estimator/omega'])set_param([sys,'/','Estimator/omega'],... 'Port','2',... 'position',[25,162,50,188])add_block('built-in/Gain',[sys,'/','Estimator/Gain1'])set_param([sys,'/','Estimator/Gain1'],... 'Gain','-1',... 'position',[345,125,370,155])add_block('built-in/Mux',[sys,'/','Estimator/Mux'])set_param([sys,'/','Estimator/Mux'],... 'position',[570,77,600,123])add_block('built-in/Integrator',[sys,'/','Estimator/Integrator'])set_param([sys,'/','Estimator/Integrator'],... 'Initial','3',... 'position',[405,16,435,64])add_block('built-in/Gain',[sys,'/','Estimator/Gain'])set_param([sys,'/','Estimator/Gain'],... 'Gain','-1',... 'position',[350,27,375,53])add_block('built-in/Demux',[sys,'/','Estimator/Demux1'])set_param([sys,'/','Estimator/Demux1'],... 'position',[390,369,430,411])add_block('built-in/Integrator',[sys,'/','Estimator/Integrator3'])set_param([sys,'/','Estimator/Integrator3'],... 'Initial','3',... 'position',[405,300,435,350])add_block('built-in/Gain',[sys,'/','Estimator/Gain3'])set_param([sys,'/','Estimator/Gain3'],... 'Gain','-1',... 'position',[340,310,370,340])add_block('built-in/Mux',[sys,'/','Estimator/Mux1'])set_param([sys,'/','Estimator/Mux1'],... 'inputs','8',... 'position',[565,217,595,303])add_block('built-in/Integrator',[sys,'/','Estimator/Integrator2'])set_param([sys,'/','Estimator/Integrator2'],... 'Initial','-8',... 'position',[405,195,435,245])add_block('built-in/Gain',[sys,'/','Estimator/Gain2'])set_param([sys,'/','Estimator/Gain2'],... 'Gain','-1',... 'position',[345,207,370,233])add_block('built-in/Fcn',[sys,'/','Estimator/theta_dot*phi'])set_param([sys,'/','Estimator/theta_dot*phi'],... 'Expr','u(1)*u(2)+u(3)*u(4)+u(5)*u(6)+u(7)*u(8)',... 'position',[630,250,670,270])add_block('built-in/Outport',[sys,'/','Estimator/u_a'])set_param([sys,'/','Estimator/u_a'],... 'Port','2',... 'position',[720,250,740,270])% Subsystem 'Estimator/phi'.new_system([sys,'/','Estimator/phi'])set_param([sys,'/','Estimator/phi'],'Location',[40,60,508,384])add_block('built-in/Transfer Fcn',[sys,'/','Estimator/phi/F(s)'])set_param([sys,'/','Estimator/phi/F(s)'],... 'Denominator','[1 1]',... 'position',[230,22,285,58])add_block('built-in/Transfer Fcn',[sys,'/','Estimator/phi/F(s)1'])set_param([sys,'/','Estimator/phi/F(s)1'],... 'Denominator','[1 1]',... 'position',[230,77,285,113])add_block('built-in/Transfer Fcn',[sys,'/','Estimator/phi/F(s)2'])set_param([sys,'/','Estimator/phi/F(s)2'],... 'Denominator','[1 1]',... 'position',[230,142,290,178])add_block('built-in/Transfer Fcn',[sys,'/','Estimator/phi/F(s)3'])set_param([sys,'/','Estimator/phi/F(s)3'],... 'Denominator','[1 1]',... 'position',[230,212,290,248])add_block('built-in/Demux',[sys,'/','Estimator/phi/Demux'])set_param([sys,'/','Estimator/phi/Demux'],... 'position',[95,98,155,142])add_block('built-in/Mux',[sys,'/','Estimator/phi/Mux'])set_param([sys,'/','Estimator/phi/Mux'],... 'position',[370,100,405,150])add_block('built-in/Outport',[sys,'/','Estimator/phi/phi'])set_param([sys,'/','Estimator/phi/phi'],... 'position',[435,112,460,138])add_block('built-in/Inport',[sys,'/','Estimator/phi/omega'])set_param([sys,'/','Estimator/phi/omega'],... 'position',[25,107,50,133])add_line([sys,'/','Estimator/phi'],[55,120;90,120])add_line([sys,'/','Estimator/phi'],[160,115;215,115;225,95])add_line([sys,'/','Estimator/phi'],[160,105;205,105;205,40;225,40])add_line([sys,'/','Estimator/phi'],[160,125;215,125;225,160])add_line([sys,'/','Estimator/phi'],[160,135;205,135;205,230;225,230])add_line([sys,'/','Estimator/phi'],[295,160;340,160;340,130;365,130])add_line([sys,'/','Estimator/phi'],[295,230;350,230;350,140;365,140])add_line([sys,'/','Estimator/phi'],[290,95;340,95;340,120;365,120])add_line([sys,'/','Estimator/phi'],[290,40;350,40;350,110;365,110])add_line([sys,'/','Estimator/phi'],[410,125;430,125])set_param([sys,'/','Estimator/phi'],... 'Mask Display','Regression \nvector')% Finished composite block 'Estimator/phi'.set_param([sys,'/','Estimator/phi'],... 'Drop Shadow',4,... 'position',[70,146,170,204])add_block('built-in/Outport',[sys,'/','Estimator/theta'])set_param([sys,'/','Estimator/theta'],... 'position',[695,90,715,110])add_line([sys,'/','Estimator'],[380,40;400,40])add_line([sys,'/','Estimator'],[375,140;400,140])add_line([sys,'/','Estimator'],[375,220;400,220])add_line([sys,'/','Estimator'],[375,325;400,325])add_line([sys,'/','Estimator'],[55,175;65,175])add_line([sys,'/','Estimator'],[605,100;690,100])add_line([sys,'/','Estimator'],[440,140;515,140;515,95;565,95])add_line([sys,'/','Estimator'],[440,40;460,40;460,85;565,85])add_line([sys,'/','Estimator'],[380,40;380,110;445,110;445,235;560,235])add_line([sys,'/','Estimator'],[375,220;375,275;560,275])add_line([sys,'/','Estimator'],[600,260;625,260])add_line([sys,'/','Estimator'],[675,260;715,260])add_line([sys,'/','Estimator'],[175,175;205,175])add_line([sys,'/','Estimator'],[60,60;185,60;185,155;205,155])add_line([sys,'/','Estimator'],[245,165;255,165])add_line([sys,'/','Estimator'],[305,170;330,170;340,220])add_line([sys,'/','Estimator'],[305,160;330,160;340,140])add_line([sys,'/','Estimator'],[305,150;320,150;320,40;345,40])add_line([sys,'/','Estimator'],[305,180;320,180;320,325;335,325])add_line([sys,'/','Estimator'],[435,375;470,375;470,225;560,225])add_line([sys,'/','Estimator'],[435,385;480,385;480,245;560,245])add_line([sys,'/','Estimator'],[435,395;490,395;490,265;560,265])add_line([sys,'/','Estimator'],[435,405;500,405;500,285;560,285])add_line([sys,'/','Estimator'],[175,175;175,390;385,390])add_line([sys,'/','Estimator'],[375,140;375,185;490,185;490,255;560,255])add_line([sys,'/','Estimator'],[440,220;525,220;525,105;565,105])add_line([sys,'/','Estimator'],[375,325;375,295;560,295])add_line([sys,'/','Estimator'],[440,325;535,325;535,115;565,115])set_param([sys,'/','Estimator'],... 'Mask Display','Estimator\n(generates theta\nand u_a)')% Finished composite block 'Estimator'.set_param([sys,'/','Estimator'],... 'orientation',2,... 'Drop Shadow',4,... 'position',[380,264,505,326])add_block('built-in/Transfer Fcn',[sys,'/','Plant Model'])set_param([sys,'/','Plant Model'],... 'Denominator','[1 3 -10]',... 'position',[510,161,595,209])% Subsystem 'Controller'.new_system([sys,'/','Controller'])set_param([sys,'/','Controller'],'Location',[113,108,624,447])add_block('built-in/Inport',[sys,'/','Controller/omega'])set_param([sys,'/','Controller/omega'],... 'position',[15,32,50,68])add_block('built-in/Inport',[sys,'/','Controller/theta'])
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