Filter löschen
Filter löschen

Dynamical System behaving strangely under high frequencies input

1 Ansicht (letzte 30 Tage)
Dear all,
I have been simulating the following dynamical system in matlab:
w=0.04*(1-cos(8*pi*t)).*(heaviside(t-0.5)-heaviside(t-0.9));
g=9.81;
m1 = 290;
m2 = 59;
k1 = 16812;
k2 = 190000;
b1 = 1000;
alfa=4.515*(10^13);
beta=1;
gama=1.545*(10^9);
tau=(1/30);
Ps=10342500;
A=3.35*(10^(-4));
dxdt=zeros(6,1);
dxdt(1) = x(2);
dxdt(2) = -(k1/m1)*x(1)-(b1/m1)*x(2)+(k1/m1)*x(3)+(b1/m1)*x(4)+(A/m1)*x(5);
dxdt(3) = x(4);
dxdt(4) = (k1/m2)*x(1)+(b1/m2)*x(2)-((k1+k2)/m2)*x(3)-(b1/m2)*x(4)-(A/m2)*x(5)+(k2/m2)*w;
dxdt(5) = -alfa*A*x(2)+alfa*A*x(4)-beta*x(5)+gama*x(6)*sign(Ps-(x(5)*sign(x(6))))*sqrt(abs(Ps-(x(5)*sign(x(6)))));
dxdt(6) = -(1/tau)*x(6)-(1/tau)*((K(1,1))*x(1)+(K(1,2))*x(2)+(K(1,3))*x(3)+(K(1,4))*x(4)+(K(1,5))*x(5)+(K(1,6))*x(6));
This is a controller for a quarter car vehicle suspension. Its behaviour is fine as long as I keep the input frequency (inside the cos function) low. As I increase the frequency, states behaviour change and it turns out that oscilations never die. I have been thinking for days and I can not find a reason for this to happen. Could someone, please help me to discover what is going on?
Thank you all very much.
  3 Kommentare
Allan Andre do Nascimento
Allan Andre do Nascimento am 5 Jul. 2016
Forgot to mention, this is the K I am utilizing:
K=[162.56 4.527 0.43275 0.85876 2.8538e-09 32.938];
Allan Andre do Nascimento
Allan Andre do Nascimento am 5 Jul. 2016
They are not exactly the same, but very related. My major problem is to understand why oscilations are not being attenuated as time goes by.

Melden Sie sich an, um zu kommentieren.

Antworten (0)

Community Treasure Hunt

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

Start Hunting!

Translated by