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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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equired by the optimization or stochastic search algorithm involves a new test setup<br />

and data acquisition. In contrast, optimizations performed on the model are much<br />

cheaper requiring only computational effort. In this section some model-only tuning<br />

schemes are considered.<br />

Nominal Model <strong>Tuning</strong><br />

A very simple approach to model-only tuning is to tune the nominal model for im-<br />

proved performance and apply this tuning configuration to the hardware. If the shape<br />

of the performance space <strong>with</strong> respect to the tuning parameters is similar for the nom-<br />

inal model and the hardware, then a tuning configuration that improves the nominal<br />

model performance may also improve the hardware performance. If the hardware<br />

performance is only slightly above the requirement or the degree of uncertainty is<br />

low then this improvement may be enough to bring the system <strong>with</strong>in specification.<br />

The optimization formulation is very similar to that of the tuning formulation in<br />

Equation 4.2 <strong>with</strong> �p0 replacing the actual uncertainty values, ˜p:<br />

min f (˜x, �y, �p0)<br />

�y<br />

(4.11)<br />

s.t. �g (˜x, �y) ≤ 0<br />

This technique is referred to as nominal model tuning throughout the rest of this<br />

chapter.<br />

<strong>Robust</strong> <strong>Tuning</strong> <strong>with</strong> Anti-optimization<br />

A second model-only tuning method is to apply the robust performance tailoring ideas<br />

to the tuning problem. The anti-optimization method is chosen as the cost function<br />

to obtain a conservatively robust design. The formulation is the nearly the same as<br />

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