필터 지우기
필터 지우기

how to find settling time of an arbitrary signal

조회 수: 2 (최근 30일)
Ali Esmaeilpour
Ali Esmaeilpour 2019년 10월 1일
편집: Ali Esmaeilpour 2019년 10월 1일
I got a code which results a "y" signal as output and I wanted to find its settling time. I gave an arbitrary input signal "W" as shown in my code
my code is as follows:
clc;
clear;
close all;
%% Initialization
T0=0 ;
Tf=20 ;
Ts=0.1 ;
t=T0:Ts:Tf ;
system=tf([1 1],[1 1 2]); % system=(s+1)/(s^2+s+2)
system_dis=c2d(system,Ts) ;
system_dis_ss=ss(system_dis) ;
Am=system_dis_ss.a;
Bm=system_dis_ss.b;
Cm=system_dis_ss.c;
n=size(Am,1); % Number of state variables
Om=zeros(1,n);
A=[Am,Om';Cm*Am,1];
B=[Bm ;Cm*Bm];
C=[Om 1];
p=10; % Prediction horizon
m=5; % Control horizon
Q=1;
R=1;
F=zeros(p,n+1);
for i=1:p
F(i,:)=C*A^i;
end
PHI=zeros(p,m);
for i=1:p
for j=1:i
PHI(i,j)=C*A^(i-j)*B;
end
end
PHI=PHI(:,1:m);
%% Main Loop
Nt=numel(t);
%W=ones(Nt,1); % Reference signal
W=[ones(floor(Nt/4),1);2*ones(floor(Nt/4),1);-ones(floor(Nt/4),1);zeros(floor(Nt/4+1),1)];
y=zeros(Nt,1);
du=zeros(Nt,1);
x=zeros(n+1,Nt); % (System state)+integral ===> n+1
Fval=zeros(Nt,1);
for i=1:Nt-1
FreeResponse=F*x(:,i);
dU=(PHI'*Q*PHI+R)\(PHI'*Q*(W(i)-FreeResponse)) ;
du(i)=dU(1); % Receding horizon
x(:,i+1)=A*x(:,i)+B*du(i); % State variable update
y(i+1)=C*x(:,i+1); % Output update
end
%%
ynew=y(21:101);
Wnew=W(21:101);
Mp=100*(max(ynew)/ynew(81,1))
figure(1)
plot(t(21:101),y(21:101),'linewidth',2)

답변 (0개)

카테고리

Help CenterFile Exchange에서 Digital Filter Analysis에 대해 자세히 알아보기

제품


릴리스

R2018b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by