hi to all... i need help in state space modeling of this block diagram.. problem is i can separate the state variables from each other.. state variables are "i" "v" and "y"... can any one tell me what to do?
Attachments
-
39.4 KB Views: 19
Ah, you are trying to fit your equations into a linear state space model. The issue is that your system is a nonlinear system. Are you sure that you have to put it in matrix form?thanks steveb for replying... actually i m writing the equation for the derivatives. but problem comes where i have to separate the variable to write them in matrix form. i cant separate them so i dont know how to write them in matrix form...
my equations are
i' = [(-iR + u)(y/k)] + [(iv)/y]
v' = -[ (k/m)*(i/y)^2] +g
y' = v
as u can see all the variables are quite tangled. to write them in matrix form i have to separate each variable with its cofficients... and i dont know how
First, let's look at how you phrased the question: "... represent it into a state space model". Strictly, those equations you wrote are a state space model. Particularly, it is a nonlinear state space model, but still it is a state space model. For some reason, the terminology can be vague and many people mean a "linear" state space model when they say "state space model". Hence, I'm still confused on what you are really being asked.the question was to represent it into state space model. when i was getting this result i was thinking that it might not be linear thats why i cant write it in matrix form... if i have to linearize this.. what methods do i have to use? u can just name them or write some basic intro. i can research more it my self... thanks again for helping