|Electronics Forum||Help Search Members Calendar|
|Welcome Guest ( Log In | Register )||Resend Validation Email|
Posted: February 20, 2012 08:31 am
Member No.: 36,539
Joined: February 20, 2012
I am working on a state space model for an electromechanical system. Part of the issue is the internal state vector ends up having interdependencies.
Take the following state vector as an example:
X = x1
1 - x1
This would be the vector in the dX = AX + BU
Ultimately my problem is how can a find an equilibrium point with a change of coordinates if the last part of the above vector is dependent on the first. The change of coordinates needs to happen to allow for Lyapunov stability analysis around the equilibrium point of the system. Is there a way to work around this issue? Is it an issue at all?
Any input would be greatly appreciated.
Posted: April 06, 2012 02:59 am
Group: Trusted Members
Member No.: 21,543
Joined: December 17, 2008
Aren't the state variables supposed to be the smallest number of variables needed to represent the state of the system? If so, you shouldn't have a state variable that is a function of other state variables.
:: support us ::