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Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT

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from <strong>Chapter</strong> 2 that SA is only a stochastic search technique, and therefore optimality,<br />

local or global, is not guaranteed or even expected. It is simply hoped that randomly<br />

searching the design space finds a design that is near-optimal or at least very good. In<br />

addition, the performance of the SA algorithm is sensitive to the cooling schedule, or<br />

the number of designs that are generated. The design is more likely to be near optimal<br />

as the number of iterations increases. However, the complexity of the TPF SCI model<br />

leads to large computational expense since a NASTRAN model is generated and<br />

analyzed <strong>with</strong> each performance evaluation. This analysis becomes very costly in the<br />

RPT and RPTT optimizations since eight models (one at each uncertainty vertex)<br />

must be generated at each design iteration. In fact, evaluating the RPT and RPTT<br />

costs for 1000 designs requires over fifteen hours of computation time on a Pentium<br />

IV machine <strong>with</strong> a 3.2 GHz processor. Due to the heavy computational burden the<br />

number of SA iterations are limited and the entire design space is not well searched.<br />

This problem is especially limiting in the case of the RPTT optimization because the<br />

number of design variables is large. A unique set of tuning parameters is allowed for<br />

each uncertainty vertex resulting in 30 design variables (4 tailoring parameters plus 2<br />

tuning parameters at each of the eight uncertainty vertices). Therefore, it is possible<br />

that RPTT designs better than the one presented here exist.<br />

6.5 Summary<br />

A high-fidelity integrated model of a SCI architecture for TPF is presented in detail.<br />

The model consists of a structural model built in NASTRAN, an ACS controller and<br />

passive vibration isolation. The model components are integrated in MATLAB <strong>with</strong><br />

the DOCS tool set and the RMS OPD due to realistic reaction wheel disturbances<br />

is evaluated. Appropriate tailoring, tuning and uncertainty parameters are identi-<br />

fied, and the model is used to perform PT, RPT and RPTT design optimizations.<br />

The performance of the resulting designs is evaluated in the nominal and worst-case<br />

uncertainty configurations. The worst-case realizations are then tuned through a dy-<br />

namic tuning optimization, and the tuned performance is evaluated. It is shown that<br />

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