CDS 110b: Norms of Signals and Systems: Difference between revisions
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== Frequently Asked Questions == | == Frequently Asked Questions == | ||
'''Q: So you ''can'' do pole zero cancellations?''' | |||
<blockquote> | |||
As long as they don't occur in the closed right half plane, pole zero cancellations are OK from the point of view of stability. It is generally not a good idea to rely on exact cancellations even if they are stable cancellations (LHP), but they are relatively benign. | |||
Exercise: try plotting the frequency response for | |||
<center><math> | |||
P(s) = \frac{s - 1}{s - 1 + \epsilon} | |||
</math></center> | |||
</blockquote> | |||
Revision as of 04:44, 14 February 2006
See current course homepage to find most recent page available. |
| Course Home | L7-2: Sensitivity | L8-1: Robust Stability | L9-1: Robust Perf | Schedule |
This lecture provides an introduction to some of the signals and systems concepts required for the study of robust () control.
Lecture Outline
- Norms of linear systems (con't)
- Internal stability
Lecture Materials
- Lecture Notes on system norms
- Reading: DFT, Chapter 2
References and Further Reading
Frequently Asked Questions
Q: So you can do pole zero cancellations?
As long as they don't occur in the closed right half plane, pole zero cancellations are OK from the point of view of stability. It is generally not a good idea to rely on exact cancellations even if they are stable cancellations (LHP), but they are relatively benign.
Exercise: try plotting the frequency response for
