Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT

are shown in Figure 5-4, the final evolution of the design regimes plot introduced
at the end of Chapter 3. The y-axis represents the performance requirement of the
system and the x-axis is the level of uncertainty in the parameters. The numbered
regions indicate areas in which particular design methodologies are successful for all
possible uncertainty realizations as listed inthelegend. Forexample,inRegion1,
PT, RPT and RPTT all produce designs that can meet the requirement within the
uncertainty bounds, while in region 4 only PT tuned and RPTT designs are successful.
Performance Requirement [µm]
400
350
300
250
200
150
100
50
1
5
3
4
1: PT, RPT, RPTT
2: PT tuned, RPT, RPTT
3: PT tuned, RPT tuned, RPTT
4: PT tuned, RPTT
5: RPT, RPTT
6: RPT tuned, RPTT
7: RPTT
0
0 5 10 15 20 25
Uncertainty [%]
Figure 5-4: Performance requirement vs uncertainty: all designs.
In Region 7, only RPTT can produce a successful design indicating that consider-
ing tuning in the tailoring stage of the design further extends the uncertainty that can
be tolerated at a given performance requirement. For example, at a requirement of
σreq = 200µm the maximum uncertainty that can be tolerated without RPTT is 7%
and is achieved through a combination of PT design and hardware tuning. However,
if RPTT is applied to the system the uncertainty range is extended to 9% for the
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7
6
2