How to solve State space equation with disturbance matrix
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I have three inputs in my system
Damper force (fs)
Gravitational force (g) (N X 1 matrix)
External disturbance (q) (N X 1 matrix)
u = [q g];
4 states in my system: x1, x2, x3 and x4 (4 X 1 matrix)
3 outputs: y1, y2 and y3. (3 X 1 matrix)
State and output equations are as follows
xdot = A.x + B.fs + E.u
y = C.x + D.fs + F.u
Now, I have obtained the damper force as a function of the system state and it is given below: fs=G[α{(x4/2)*mod(sign(x4)+sign(x4-x2))}+(1-α){(x2/2)*mod(sign(-x2 )+sign(x4-x2))}]
Here: G: is a constant, α: is a constant, sign – Signum function and x: is the state of the system
How do I solve this problem in Matlab and obtain simulation results for it.
Thanks. Shilp
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Azzi Abdelmalek
le 8 Jan 2013
Rewrite your equation as
xdot=A.x+H.u1
with H=[B;E] and u1=[fs;q;g]
and
y=C.x+D1.u1 , with D1=[D;F]
Then use State Space block with parameters A,H,C,D1 with 3 inputs passed throug a MUX block to the SS block.
You will need to extract the values of x1, x2, x3 and x4. I don't know if you know how to do it?
You will also need to calculate fs using blocks, or an interpreted matlab function.
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Phani kumar KSV
le 24 Oct 2014
the ' fs ' equation containing state variables ( x4,x2 ) Its better to combine the terms as
xdot=H.x+B.u1
with H=[A;E] and u1=[q;g]
and
y=C1.x+D.u1 , with C1=[C;F]
then proceed as mentioned by Azzi Abdelmalek above.
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maddikayala venkateswarlu
le 5 Avr 2017
Hi all, I have A, B,C ,D, Input(u) and output(y) in the state space model. so my question here is is it possible to calculate state vector(x) with the input values. if possible can you please help me to calculate state vectors(x)..?
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