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Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT

Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT

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a statistical robustness measure such as standard deviation into the objective. The<br />

RPT optimizations are applied to the SCI development model, and it is found that<br />

anti-optimization provides the most robust design when the uncertainty is modeled<br />

as a bounded uniform distribution.<br />

The resulting RPT design is compared to the PT design and it is found that the<br />

worst-case performance of the RPT design is significantly lower than that of the PT<br />

design. However, the increase in robustness comes at the cost of nominal performance,<br />

so that the RPT has a higher RMS performance at the nominal uncertainty values<br />

than the PT design. A comparison of the worst-case performance values of the two<br />

designs over a range of uncertainty bounds shows that RPT designs can tolerate<br />

greater variation in the uncertainty parameters at a specific performance requirement<br />

than the PT design. However, since nominal performance is sacrificed, RPT designs<br />

cannot meet aggressive performance requirements given high levels of uncertainty.<br />

The RPT designs fail when uncertainty is high because it is not possible to find val-<br />

ues of the tailoring parameters that meet requirements under all possible uncertainty<br />

realizations. Therefore, in <strong>Chapter</strong> 4, the concept of dynamic tuning is introduced.<br />

It is defined as the adjustment of physical tuning parameters on hardware that brings<br />

its performance to <strong>with</strong>in required values. A tuning optimization is formulated and<br />

applied to the PT and RPT designs in the worst-case uncertainty realizations. It<br />

is shown that in both cases, dynamic tuning succeeds in reducing the performance<br />

variance of the worst-case design, however, the effect is more dramatic on the PT<br />

design. The worst-case uncertainty realizations of both designs, over a range of un-<br />

certainty bounds, are tuned, and it is shown that dynamic tuning extends the range<br />

of performance requirements that each design can meet at a given uncertainty level.<br />

The practical issues associated <strong>with</strong> dynamic tuning are also considered. In reality<br />

only limited performance data is available from the hardware and the actual values<br />

of the uncertainty parameters are not known. Therefore some type of model up-<br />

dating technique or real-time hardware tuning is necessary to improve the hardware<br />

performance. A set of possible hardware tuning methods, ranging from model-only<br />

methods that rely on the uncertain model to find successful tuning configurations to<br />

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