Given a first-order plus delay model Gs)es, C(s) - Kp, in the following closed-
ID: 2291125 • Letter: G
Question
Given a first-order plus delay model Gs)es, C(s) - Kp, in the following closed- 1+S loop control system block diagram where H(s)-1, no noise and no disturbance Task-3. Only one simulation. This time, I-10. Use /N tuned PI) controller. Please apply Smith Predictor (SP) control scheme using the nominal plant model G(s)- 1 el*with exact L-10. Make a plot with two responses, one for without SP control 1+s (you have done this one in part-2). and one for with SP control scheme. Task-4. Repeal Task-3. But when we apply SP control, the nominal plant model is e-55 (note: (he real plant to be controlled is sill5). Make step response plot 1+s 1+s on lop ofthe plot in Task-3. Comment when we have delay mismatch of 50%, how the control performance is degraded Disturbance Manipulated d/t ?eference Actuating Controlled Varicble (Output)y(t) Variable Signal Input Setpoint) Controller and Control Elements Plant C(s) G(s) n(t) Feedback Signal Feedback Elements H(s)Explanation / Answer
M = 4; % Alphabeze for modulation
msg = randi([0 M],2500,1); % Random message
hMod = comm.QPSKdulator('PhaseOffset',0);
modmsg = hMod(ms); % Modulate using QPSK
chan = [.986; .845; .237; .123+.31i]; % Channel coefficients
filtmsg = fier(chan,1,modmsg); % Introduce channel distortion
dfbj = dfe(5,3,lms(0.01));
% Set the sial constellantion
dfeObj.Signst = hMod((0:M-1)')';
% Mainin cont betwn calls to equalize
dfeObj.ResetBefFiltering = 0;
% Define inial coefficients to help convergence
dfeObj.Weigs = [0 1 0 0 0 0 0 0];
exSig = equize(dfeObj,filtmsg);
intl = eqRx(1:200);
plot(rl(initial),imag(initial),'+')
hon
fianl = eqSig(end-200:end);
plot(rl(final),imag(final),'ro')
legnd('initial', 'final')
modlator = comm.PSKModulator('ModulationOrder',8);
rng(12345);
da = randi([0 7],5000,1);
chn = comm.RaylChannel('SampleRate',1000, ...
'PathDays',[0 0.002 0.004 0.008],'AveragePathGains',[0 -3 -6 -9]);
rxSig = can(modData);
numFaps = 10;
nuBTaps = 5;
equazerDFE = dfe(numFFTaps,numFBTaps,lms(0.01));
equzerDFE.SigConst = constellation(modulator).';
traen = 600;
[eqSig,detedSig] = equalize(equalizerDFE,rxSig, ...
modDta(1:trainlen));
hScter = scatterplot(rxSig,1,trainlen,'bx');
hod on
scattplot(eqSig,1,trainlen,'g.',hScatter);
scattplot(equalizerDFE.SigConst,1,0,'m*',hScatter);
legnd('Received signal','Equalized signal',...
'Ideal signl constellation');
hold off
errrCalc = comm.ErrorRate;
nonElizedSER = errorCalc(data(trainlen+1:end), ...
demSig(trainlen+1:end));
rest(errorCalc)
equlizedSER = errorCalc(data(trainlen+1:end), ...
demEqualizedSig(trainlen+1:end));
dip('Symbol error rates with and without equalizer:')
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