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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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Performing an AO tuning optimization about the uncertainty space of the first iso-<br />

segment results in the tuning configuration listed in the table under Test 2. These<br />

parameters are set on the hardware and a new performance measure of 346.47µm is<br />

obtained. This tuned configuration does not meet requirements, and in fact, is worse<br />

than the nominal hardware performance indicating that the hardware parameters are<br />

most likely on the second iso-segment. Performing an AO tuning optimization on the<br />

other iso-segment results in a tuning configuration that is symmetric to that found<br />

in Test 2. This tuning configuration successfully tunes the hardware performance to<br />

below the requirement ending the process after only three hardware tests. Comparing<br />

these results to the baseline tuning results in Table 4.3 it is interesting to note that<br />

the isoperformance tuning methodology results in a similar tuning configuration and<br />

leads to a hardware performance that is very close to the baseline tuned performance.<br />

Table 4.4: Uncertainty parameters for SCI development model.<br />

Name Description p0<br />

E1 Young’s Modulus of truss 1 & 2 72 [GPa]<br />

ρ1 material density of truss 1 & 2 2900 [kg\m 3 ]<br />

m1 00 11 000 111<br />

00 11 d1 d2 000 111 d2 00 11<br />

000 111<br />

00 11<br />

000 111<br />

00 11<br />

000 111<br />

m 2<br />

E1 ρ1 E1 ρ1 E2 ρ2 E2 ρ2 Y<br />

d1<br />

000 111<br />

000 111<br />

000 111<br />

000 111<br />

000 111<br />

The development model tunes easily <strong>with</strong> isoperformance tuning due to the sym-<br />

metry in the model. The iso-contours are distinct mirror images of each other allowing<br />

a dramatic reduction of the uncertainty space from only one hardware measurement.<br />

In order to demonstrate the latter half of the algorithm, the search for intersecting<br />

subsets of the isoperformance space, a slight variation of the development model is<br />

considered. In this example the uncertainty parameters are Young’s Modulus, E1,<br />

and density, ρ1, of the beams in truss segments 1 and 2, as listed in Table 4.4 and<br />

shown in the accompanying figure. In addition, the uncertainty range is increased to<br />

±50% about the nominal parameter values. Since the uncertainty model has changed<br />

143<br />

X

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