📄 ltrdemo2.m
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function [ret,x0,str]=ltrdemo2(t,x,u,flag);
%LTRDEMO2 is the M-file description of the SIMULINK system named LTRDEMO2.
% The block-diagram can be displayed by typing: LTRDEMO2.
%
% SYS=LTRDEMO2(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 LTRDEMO2 to return state derivitives, FLAG=2
% discrete states, FLAG=3 system outputs and FLAG=4 next sample
% time. For more information and other options see SFUNC.
%
% Calling LTRDEMO2 with a FLAG of zero:
% [SIZES]=LTRDEMO2([],[],[],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.
% Copyright (c) 1990-94 by The MathWorks, Inc.
% 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',[518,574,1087,896])
open_system(sys)
end;
set_param(sys,'algorithm', 'Linear')
set_param(sys,'Start time', '0.0')
set_param(sys,'Stop time', '200')
set_param(sys,'Min step size', '0.01')
set_param(sys,'Max step size', '0.1')
set_param(sys,'Relative error','1e-3')
set_param(sys,'Return vars', '')
add_block('built-in/Note',[sys,'/','LQG and Loop Transfer Recovery Controller Design'])
set_param([sys,'/','LQG and Loop Transfer Recovery Controller Design'],...
'position',[279,10,280,11])
add_block('built-in/Product',[sys,'/','Product'])
set_param([sys,'/','Product'],...
'position',[345,55,370,75])
add_block('built-in/Sum',[sys,'/','Sum2'])
set_param([sys,'/','Sum2'],...
'inputs','+++',...
'position',[425,103,440,137])
add_block('built-in/Sum',[sys,'/','Sum'])
set_param([sys,'/','Sum'],...
'inputs','+++-',...
'position',[170,107,190,153])
add_block('built-in/Sum',[sys,'/','Sum1'])
set_param([sys,'/','Sum1'],...
'orientation',2,...
'position',[375,195,395,215])
% Subsystem ['Double click here',13,'to show zero-pole',13,'plot of closed-loop4'].
new_system([sys,'/',['Double click here',13,'to show zero-pole',13,'plot of closed-loop4']])
set_param([sys,'/',['Double click here',13,'to show zero-pole',13,'plot of closed-loop4']],'Location',[2,439,106,512])
set_param([sys,'/',['Double click here',13,'to show zero-pole',13,'plot of closed-loop4']],...
'Mask Display','Controller\nBode Plot',...
'Mask Type','')
set_param([sys,'/',['Double click here',13,'to show zero-pole',13,'plot of closed-loop4']],...
'Mask Dialogue','eval(''if ~exist(''''ae''''),fprintf(''''\nMust Load Data & Design First\n''''),else [x,y,w]=bode(ae,be,ce,de); clg; subplot(211); loglog(w,x(:,1)); subplot(212); semilogx(w,y(:,1)); subplot(111); end'')')
set_param([sys,'/',['Double click here',13,'to show zero-pole',13,'plot of closed-loop4']],...
'Mask Translate','',...
'Mask Help','')
% Finished composite block ['Double click here',13,'to show zero-pole',13,'plot of closed-loop4'].
set_param([sys,'/',['Double click here',13,'to show zero-pole',13,'plot of closed-loop4']],...
'hide name',0,...
'position',[260,266,333,298])
% Subsystem ['excitation',13,'noise'].
new_system([sys,'/',['excitation',13,'noise']])
set_param([sys,'/',['excitation',13,'noise']],'Location',[0,0,262,236])
add_block('built-in/Discrete Transfer Fcn',[sys,'/',['excitation',13,'noise/Zero Order Hold']])
set_param([sys,'/',['excitation',13,'noise/Zero Order Hold']],...
'Numerator','[sqrt(Cov)]',...
'Denominator','[sqrt(Ts)]',...
'Sample time','Ts',...
'position',[140,61,205,99])
add_block('built-in/White Noise',[sys,'/',['excitation',13,'noise/White Noise']])
set_param([sys,'/',['excitation',13,'noise/White Noise']],...
'Seed','seed',...
'position',[55,70,75,90])
add_block('built-in/Outport',[sys,'/',['excitation',13,'noise/out_1']])
set_param([sys,'/',['excitation',13,'noise/out_1']],...
'position',[235,70,255,90])
add_line([sys,'/',['excitation',13,'noise']],[80,80;130,80])
add_line([sys,'/',['excitation',13,'noise']],[210,80;225,80])
set_param([sys,'/',['excitation',13,'noise']],...
'Mask Display','plot(t(:),r2(:))',...
'Mask Type','Continuous White Noise.')
set_param([sys,'/',['excitation',13,'noise']],...
'Mask Dialogue','White noise for continuous (s-domain) systems.\nBand-limited using zero-order-hold.|Noise Variance:|Sample Time:|Seed')
set_param([sys,'/',['excitation',13,'noise']],...
'Mask Translate','Cov = @1; Ts = @2; seed = @3; r = rand(1,12)-0.5; r2 = [r(1),r;r,r(12)]; t =[1:13;1:13];')
set_param([sys,'/',['excitation',13,'noise']],...
'Mask Help','Implemented using white noise into Zero Order Hold block. For faster simulation set sample time to highest value possible but in accordance with the fastest dynamics of system.')
set_param([sys,'/',['excitation',13,'noise']],...
'Mask Entries','0.1\/1\/68932234\/')
% Finished composite block ['excitation',13,'noise'].
set_param([sys,'/',['excitation',13,'noise']],...
'position',[45,102,85,128])
add_block('built-in/Inport',[sys,'/','Inport2'])
set_param([sys,'/','Inport2'],...
'position',[55,155,75,175])
add_block('built-in/Signal Generator',[sys,'/','Signal Gen.'])
set_param([sys,'/','Signal Gen.'],...
'Peak','1.000000',...
'Peak Range','5.000000',...
'Freq','1.000000',...
'Freq Range','5.000000',...
'Wave','Sqr',...
'Units','Rads',...
'position',[40,203,85,237])
add_block('built-in/State-space',[sys,'/','Controller'])
set_param([sys,'/','Controller'],...
'orientation',2,...
'A','ae',...
'B','be',...
'C','ce',...
'D','de',...
'Mask Display','LQG/LTR',...
'Mask Type','LTR CONTROLLER')
set_param([sys,'/','Controller'],...
'Mask Dialogue','LTR controller.\n(Requires Control Toolbox and RCT)|Controller Matrix A:|Controller Matrix B:|Controller Matrix C:|Controller Matrix D:',...
'Mask Translate','ae=@1; be=@2; ce=@3; de=@4;')
set_param([sys,'/','Controller'],...
'Mask Help','LTR controller design. Mask and unmask this block to see how it works.',...
'Mask Entries','ae\/be\/ce\/de\/',...
'position',[220,180,310,230])
% Subsystem ['Sensor',13,'Noise'].
new_system([sys,'/',['Sensor',13,'Noise']])
set_param([sys,'/',['Sensor',13,'Noise']],'Location',[0,0,262,236])
add_block('built-in/Outport',[sys,'/',['Sensor',13,'Noise/out_1']])
set_param([sys,'/',['Sensor',13,'Noise/out_1']],...
'position',[235,70,255,90])
add_block('built-in/White Noise',[sys,'/',['Sensor',13,'Noise/White Noise']])
set_param([sys,'/',['Sensor',13,'Noise/White Noise']],...
'Seed','seed',...
'position',[55,70,75,90])
add_block('built-in/Discrete Transfer Fcn',[sys,'/',['Sensor',13,'Noise/Zero Order Hold']])
set_param([sys,'/',['Sensor',13,'Noise/Zero Order Hold']],...
'Numerator','[sqrt(Cov)]',...
'Denominator','[sqrt(Ts)]',...
'Sample time','Ts',...
'position',[140,61,205,99])
add_line([sys,'/',['Sensor',13,'Noise']],[210,80;225,80])
add_line([sys,'/',['Sensor',13,'Noise']],[80,80;130,80])
set_param([sys,'/',['Sensor',13,'Noise']],...
'Mask Display','plot(1:20,rand(1,20))',...
'Mask Type','Continuous White Noise.')
set_param([sys,'/',['Sensor',13,'Noise']],...
'Mask Dialogue','White noise for continuous (s-domain) systems.\nBand-limited using zero-order-hold.|Noise Variance:|Sample Time:|Seed',...
'Mask Translate','Cov = @1; Ts = @2; seed = @3;')
set_param([sys,'/',['Sensor',13,'Noise']],...
'Mask Help','Implemented using white noise into Zero Order Hold block. For faster simulation set sample time to highest value possible but in accordance with the fastest dynamics of system.')
set_param([sys,'/',['Sensor',13,'Noise']],...
'Mask Entries','0.01\/0.11\/23341\/')
% Finished composite block ['Sensor',13,'Noise'].
set_param([sys,'/',['Sensor',13,'Noise']],...
'orientation',2,...
'position',[510,195,540,225])
add_block('built-in/Outport',[sys,'/','Outport'])
set_param([sys,'/','Outport'],...
'position',[510,151,540,169])
% Subsystem ['Additive',13,'noise'].
new_system([sys,'/',['Additive',13,'noise']])
set_param([sys,'/',['Additive',13,'noise']],'Location',[0,0,262,236])
add_block('built-in/Discrete Transfer Fcn',[sys,'/',['Additive',13,'noise/Zero Order Hold']])
set_param([sys,'/',['Additive',13,'noise/Zero Order Hold']],...
'Numerator','[sqrt(Cov)]',...
'Denominator','[sqrt(Ts)]',...
'Sample time','Ts',...
'position',[140,61,205,99])
add_block('built-in/White Noise',[sys,'/',['Additive',13,'noise/White Noise']])
set_param([sys,'/',['Additive',13,'noise/White Noise']],...
'Seed','seed',...
'position',[55,70,75,90])
add_block('built-in/Outport',[sys,'/',['Additive',13,'noise/out_1']])
set_param([sys,'/',['Additive',13,'noise/out_1']],...
'position',[235,70,255,90])
add_line([sys,'/',['Additive',13,'noise']],[80,80;130,80])
add_line([sys,'/',['Additive',13,'noise']],[210,80;225,80])
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