deba_fire
Full Member level 3
Going from PM/GM/MM(classical control) to eigenvalue(modern control)
Hi All,
I am not sure if this forum is correct for this question. I apologize for that.
Single input single output(SISO) are well understood from classical control theory. It is intuitive from Bode/Nyquist plot, where to place the poles and how to make the system stable.
But for MIMO loops, the state space representation is more appropriate. My questions are:
1) How does one translate a particular phase margin(PM) to eigenvalue? I just know that all eigenvalues should be negative for stable system. But for relative stability what does one do?
2) For SISO, the modulus margin(MM) is restricted between 1 to 2 for robust stability. Is there a similar criteria for eigenvalue. Like the eigenvalue has to be at least less then some negative number for robust stability?
3) There is a whole world on observability and controlability/reachability in modern control. Are there system/circuit simulators which incorporate these features?
Really appreciate if some can guide or refer to some tutorial/paper on circuit design/loop tuning using the eigenvalue criteria.
Thanks
Hi All,
I am not sure if this forum is correct for this question. I apologize for that.
Single input single output(SISO) are well understood from classical control theory. It is intuitive from Bode/Nyquist plot, where to place the poles and how to make the system stable.
But for MIMO loops, the state space representation is more appropriate. My questions are:
1) How does one translate a particular phase margin(PM) to eigenvalue? I just know that all eigenvalues should be negative for stable system. But for relative stability what does one do?
2) For SISO, the modulus margin(MM) is restricted between 1 to 2 for robust stability. Is there a similar criteria for eigenvalue. Like the eigenvalue has to be at least less then some negative number for robust stability?
3) There is a whole world on observability and controlability/reachability in modern control. Are there system/circuit simulators which incorporate these features?
Really appreciate if some can guide or refer to some tutorial/paper on circuit design/loop tuning using the eigenvalue criteria.
Thanks