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Dynamical System behaving strangely under high frequencies input

조회 수: 1 (최근 30일)
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.
  댓글 수: 3
Allan Andre do Nascimento
Allan Andre do Nascimento 2016년 7월 5일
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 2016년 7월 5일
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.

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