📄 musyndm3.m
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function [ret,x0,str]=musyndm3(t,x,u,flag);
%MUSYNDM3 is the M-file description of the SIMULINK system named MUSYNDM3.
% The block-diagram can be displayed by typing: MUSYNDM3.
%
% SYS=MUSYNDM3(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 MUSYNDM3 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 MUSYNDM3 with a FLAG of zero:
% [SIZES]=MUSYNDM3([],[],[],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',[68,100,778,510])
open_system(sys)
end;
set_param(sys,'algorithm', 'Linear')
set_param(sys,'Start time', '0.0')
set_param(sys,'Stop time', '99999999')
set_param(sys,'Min step size', '0.005')
set_param(sys,'Max step size', '0.05')
set_param(sys,'Relative error','1e-3')
set_param(sys,'Return vars', '')
add_block('built-in/Demux',[sys,'/','Demux2'])
set_param([sys,'/','Demux2'],...
'outputs','2',...
'position',[565,290,605,325])
add_block('built-in/Sum',[sys,'/','Sum4'])
set_param([sys,'/','Sum4'],...
'orientation',1,...
'position',[415,255,435,275])
add_block('built-in/Demux',[sys,'/','Demux1'])
set_param([sys,'/','Demux1'],...
'outputs','2',...
'position',[455,100,495,135])
add_block('built-in/Sum',[sys,'/','Sum2'])
set_param([sys,'/','Sum2'],...
'position',[95,95,115,115])
add_block('built-in/Sum',[sys,'/','Sum3'])
set_param([sys,'/','Sum3'],...
'position',[95,225,115,245])
add_block('built-in/Inport',[sys,'/','Inport2'])
set_param([sys,'/','Inport2'],...
'position',[35,120,55,140])
add_block('built-in/Inport',[sys,'/','Inport3'])
set_param([sys,'/','Inport3'],...
'Port','2',...
'position',[30,195,50,215])
add_block('built-in/Mux',[sys,'/','Mux2'])
set_param([sys,'/','Mux2'],...
'inputs','2',...
'position',[345,205,375,240])
add_block('built-in/Outport',[sys,'/','Outport '])
set_param([sys,'/','Outport '],...
'position',[645,100,665,120])
add_block('built-in/Outport',[sys,'/','Outport1 '])
set_param([sys,'/','Outport1 '],...
'Port','2',...
'position',[640,140,660,160])
add_block('built-in/Outport',[sys,'/','Outport1 1'])
set_param([sys,'/','Outport1 1'],...
'Port','3',...
'position',[655,250,675,270])
add_block('built-in/Outport',[sys,'/','Outport1 2'])
set_param([sys,'/','Outport1 2'],...
'Port','4',...
'position',[655,305,675,325])
add_block('built-in/State-space',[sys,'/','controller'])
set_param([sys,'/','controller'],...
'A','ak',...
'B','bk',...
'C','ck',...
'D','dk',...
'Mask Display','H_infinity\nController',...
'Mask Type','H_infty Controller',...
'Mask Dialogue','H_infty Controller:|ak:|bk:|ck:|dk:')
set_param([sys,'/','controller'],...
'Mask Translate','ak=@1;bk=@2;ck=@3;dk=@4;')
set_param([sys,'/','controller'],...
'Mask Help','. Mask and unmask this block to see how it works.Usinf Mu Analysis and Synthesis Toolbox to design a H_infinity Controller. Change the parameters, see the designed system.')
set_param([sys,'/','controller'],...
'Mask Entries','ak\/bk\/ck\/dk\/',...
'position',[260,101,335,139])
% Subsystem ['additive',13,'noise 2'].
new_system([sys,'/',['additive',13,'noise 2']])
set_param([sys,'/',['additive',13,'noise 2']],'Location',[0,0,262,236])
add_block('built-in/Outport',[sys,'/',['additive',13,'noise 2/out_1']])
set_param([sys,'/',['additive',13,'noise 2/out_1']],...
'position',[235,70,255,90])
add_block('built-in/White Noise',[sys,'/',['additive',13,'noise 2/White Noise']])
set_param([sys,'/',['additive',13,'noise 2/White Noise']],...
'Seed','seed',...
'position',[55,70,75,90])
add_block('built-in/Discrete Transfer Fcn',[sys,'/',['additive',13,'noise 2/Zero Order Hold']])
set_param([sys,'/',['additive',13,'noise 2/Zero Order Hold']],...
'Numerator','[sqrt(Cov)]',...
'Denominator','[sqrt(Ts)]',...
'Sample time','Ts',...
'position',[140,61,205,99])
add_line([sys,'/',['additive',13,'noise 2']],[210,80;225,80])
add_line([sys,'/',['additive',13,'noise 2']],[80,80;130,80])
set_param([sys,'/',['additive',13,'noise 2']],...
'Mask Display','plot(t(:),r2(:))',...
'Mask Type','Continuous White Noise.')
set_param([sys,'/',['additive',13,'noise 2']],...
'Mask Dialogue','White noise for continuous (s-domain) systems.\nBand-limited using zero-order-hold.|Noise Variance:|Sample Time:|Seed')
set_param([sys,'/',['additive',13,'noise 2']],...
'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,'/',['additive',13,'noise 2']],...
'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,'/',['additive',13,'noise 2']],...
'Mask Entries','0.001\/0.1\/123441\/')
% Finished composite block ['additive',13,'noise 2'].
set_param([sys,'/',['additive',13,'noise 2']],...
'position',[245,242,285,268])
add_block('built-in/Mux',[sys,'/','Mux'])
set_param([sys,'/','Mux'],...
'inputs','2',...
'position',[150,95,180,130])
add_block('built-in/Mux',[sys,'/','Mux1'])
set_param([sys,'/','Mux1'],...
'inputs','[2,2]',...
'position',[460,35,490,70])
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',[25,43,70,77])
add_block('built-in/Sum',[sys,'/','Sum1'])
set_param([sys,'/','Sum1'],...
'inputs','-+',...
'position',[215,110,235,130])
add_block('built-in/Signal Generator',[sys,'/','Signal Gen.1'])
set_param([sys,'/','Signal Gen.1'],...
'Peak','3.000000',...
'Peak Range','15.000000',...
'Freq','0.500000',...
'Freq Range','2.500000',...
'Wave','Sqr',...
'Units','Rads',...
'position',[15,243,60,277])
% Subsystem ['additive',13,'noise 1'].
new_system([sys,'/',['additive',13,'noise 1']])
set_param([sys,'/',['additive',13,'noise 1']],'Location',[0,0,262,236])
add_block('built-in/Outport',[sys,'/',['additive',13,'noise 1/out_1']])
set_param([sys,'/',['additive',13,'noise 1/out_1']],...
'position',[235,70,255,90])
add_block('built-in/White Noise',[sys,'/',['additive',13,'noise 1/White Noise']])
set_param([sys,'/',['additive',13,'noise 1/White Noise']],...
'Seed','seed',...
'position',[55,70,75,90])
add_block('built-in/Discrete Transfer Fcn',[sys,'/',['additive',13,'noise 1/Zero Order Hold']])
set_param([sys,'/',['additive',13,'noise 1/Zero Order Hold']],...
'Numerator','[sqrt(Cov)]',...
'Denominator','[sqrt(Ts)]',...
'Sample time','Ts',...
'position',[140,61,205,99])
add_line([sys,'/',['additive',13,'noise 1']],[210,80;225,80])
add_line([sys,'/',['additive',13,'noise 1']],[80,80;130,80])
set_param([sys,'/',['additive',13,'noise 1']],...
'Mask Display','plot(t(:),r2(:))',...
'Mask Type','Continuous White Noise.')
set_param([sys,'/',['additive',13,'noise 1']],...
'Mask Dialogue','White noise for continuous (s-domain) systems.\nBand-limited using zero-order-hold.|Noise Variance:|Sample Time:|Seed')
set_param([sys,'/',['additive',13,'noise 1']],...
'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,'/',['additive',13,'noise 1']],...
'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,'/',['additive',13,'noise 1']],...
'Mask Entries','0.001\/0.1\/79841\/')
% Finished composite block ['additive',13,'noise 1'].
set_param([sys,'/',['additive',13,'noise 1']],...
'position',[245,177,285,203])
add_block('built-in/Scope',[sys,'/','Scope'])
set_param([sys,'/','Scope'],...
'Vgain','4.000000',...
'Hgain','20.000000',...
'Vmax','Inf',...
'Hmax','40.000000',...
'Window',[593,143,912,348],...
'position',[600,42,620,68])
add_block('built-in/State-space',[sys,'/','perf. weighting'])
set_param([sys,'/','perf. weighting'],...
'A','ap',...
'B','bp',...
'C','cp',...
'D','dp',...
'Mask Display','output\nweighting.',...
'Mask Type','Performance weighting function')
set_param([sys,'/','perf. weighting'],...
'Mask Dialogue','Performance weighting function:\n[w1 0]\n[ 0 w2]|numerator of w1:|denominator of w1:|numerator of w2:|denominator of w2:')
set_param([sys,'/','perf. weighting'],...
'Mask Translate','[ap,bp,cp,dp]=unpck(daug(nd2sys(@1,@2),nd2sys(@3,@4)));',...
'Mask Help','the weighting function of the plant model.',...
'Mask Entries','num_o1\/den_o1\/num_o2\/den_o2\/')
set_param([sys,'/','perf. weighting'],...
'position',[470,291,545,329])
% Subsystem ['Plant with',13,'Uncertainty'].
new_system([sys,'/',['Plant with',13,'Uncertainty']])
set_param([sys,'/',['Plant with',13,'Uncertainty']],'Location',[417,193,926,461])
add_block('built-in/Outport',[sys,'/',['Plant with',13,'Uncertainty/out_1']])
set_param([sys,'/',['Plant with',13,'Uncertainty/out_1']],...
'position',[450,200,470,220])
add_block('built-in/Inport',[sys,'/',['Plant with',13,'Uncertainty/in_1']])
set_param([sys,'/',['Plant with',13,'Uncertainty/in_1']],...
'position',[25,205,45,225])
add_block('built-in/Product',[sys,'/',['Plant with',13,'Uncertainty/Product']])
set_param([sys,'/',['Plant with',13,'Uncertainty/Product']],...
'position',[230,125,255,145])
add_block('built-in/Sum',[sys,'/',['Plant with',13,'Uncertainty/Sum']])
set_param([sys,'/',['Plant with',13,'Uncertainty/Sum']],...
'position',[290,200,310,220])
add_block('built-in/Mux',[sys,'/',['Plant with',13,'Uncertainty/Mux1']])
set_param([sys,'/',['Plant with',13,'Uncertainty/Mux1']],...
'inputs','2',...
'position',[160,65,190,100])
% Subsystem ['Plant with',13,'Uncertainty/multiplicative',13,'noise 2'].
new_system([sys,'/',['Plant with',13,'Uncertainty/multiplicative',13,'noise 2']])
set_param([sys,'/',['Plant with',13,'Uncertainty/multiplicative',13,'noise 2']],'Location',[0,0,262,236])
add_block('built-in/Outport',[sys,'/',['Plant with',13,'Uncertainty/multiplicative',13,'noise 2/out_1']])
set_param([sys,'/',['Plant with',13,'Uncertainty/multiplicative',13,'noise 2/out_1']],...
'position',[235,70,255,90])
add_block('built-in/White Noise',[sys,'/',['Plant with',13,'Uncertainty/multiplicative',13,'noise 2/White Noise']])
set_param([sys,'/',['Plant with',13,'Uncertainty/multiplicative',13,'noise 2/White Noise']],...
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