How Can I Determine the Equivalent Transfer Function of Two Active LTI Systems?

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To determine the equivalent transfer function of two active LTI systems, G1(s) and G2(s), which operate at different times, it is suggested that the systems cannot be combined into a single transfer function due to their non-simultaneous activity. The joint system's switching behavior results in a non-time-invariant system, complicating the analysis. As such, it is emphasized that a transfer function cannot be defined for non-LTI systems, requiring alternative methods for description. The consensus indicates that maintaining two separate transfer functions may be the most straightforward approach. Overall, combining the transfer functions of G1 and G2 is not feasible under the given conditions.
umarkhan
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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.
 
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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.
 
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.
 
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.
 

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