Switched LTI systems

[umarkhan]

hello,
If I have two LTI system in G1(s) and G2(s) and I know that for a certain fraction of the time period G1 is active and for the reminaing fraction G2 is active, then is there any method to get the equivalent transfer function ?


Umat.

[timthereaper]

I would think you would just have two transfer functions. Since there G1 and G2 are never active at the same time, you can't really describe it that way. At least, I don't think there is a way. Maybe I'm wrong though.

[Manchot]

If you're switching between the two systems, the joint system is no longer time-invariant. It's probably going to be not so simple.

[timthereaper]

I agree with Manchot. And since you can't have a transfer function for a non-LTI system, you'll have to describe it some other way.