Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT
Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT
eal-time hardware optimizations that do not utilize the model at all, are explored. Hardware simulations are generated with the SCI development model, and it is found that although the model-only methods are attractive in that few costly hardware tests are required, they are not consistently successful, and sometimes the resulting tuning configurations actually degrade the hardware performance. Hardware optimization methods, on the other hand, find a working tuning configuration (given that one ex- ists), but generally require a large number of costly hardware tests. As an alternative, a hybrid method called isoperformance tuning is developed that utilizes the limited hardware performance data that is available to reduce the uncertainty space so that a robust tuning optimization performed on the model results in a tuning configuration that successfully improves the hardware performance. This method is superior to the model-only and hardware optimization methods in that is consistently successful for a large number of hardware simulations and requires only a small number of hardware tests. Finally the concepts of robust performance tailoring and dynamic tuning are com- bined to create a design methodology called Robust Performance Tailoring for Tuning (RPTT). This design optimization anticipates the fact that hardware tuning may be employed and tailors the design to balance robustness to uncertainty and tuning au- thority thereby utilizing a two-step uncertainty mitigation scheme . The additional knowledge of the uncertainty provided by the hardware is anticipated by the tailor- ing optimization and the design variables are augmented to include different tuning parameters for each uncertainty realization in order to minimize the worst-case tuned performance over the uncertainty space. The result is a design that produces a robust system, instead of simply a robust design. Three different mathematical formulations of the RPTT optimization are presented and compared through application to the SCI development problem with both SA and SQP algorithms. The nominal, worst- case and tuned performances of the resulting RPTT design are compared to those of the PT and RPT designs over a range of uncertainty bounds. The nominal and worst-case performances of the RPTT design lie in between those of the PT and RPT designs. The nominal performance RMS is a little higher than that of the PT design, 214
and the worst-case performance is above that of the RPT design. The tuned perfor- mance of the RPTT designs, however, is better than that of either the PT or RPT designs for all uncertainty levels. The RPTT design further extends the performance of the system at a given uncertainty level, and is applicable to all design regimes de- fined by combinations of PT, RPT and tuning. Random hardware simulations of the three designs are run to evaluate the design performance over the entire uncertainty space. The RPTT design is the clear winner in that it is the only design for which all hardware simulations either meet the requirements nominally or after hardware tuning is employed. 7.2 Contributions This thesis develops a novel approach to the design of high-performance, high-uncertainty systems in which dynamic tuning is anticipated and formalized in a design optimiza- tion. This design methodology, RPTT, is especially applicable to high-precision opti- cal space systems, such as the Space Interferometry Mission (SIM), the James Webb Space Telescope (JWST) and the Terrestrial Planet Finder (TPF). Specific thesis contributions are as follows: • Development of a design methodology, RPTT, that formalizes a complimen- tary relationship between dynamic tailoring and tuning. RPTT extends robust design for application to systems that require high levels of performance and exhibit high uncertainty. • Development of a model updating technique for application to dynamic tai- loring that utilizes limited hardware performance data and isoperformance to reduce the parametric uncertainty space so that a robust tuning optimization performed on the model yields tuning parameter values that successfully tune the hardware. • Study of gradient-based and heuristic optimization techniques for application to tailoring and tuning given a dynamic performance model. Eigenvector and 215
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eal-time hardware optimizations that do not utilize the model at all, are explored.<br />
Hardware simulations are generated <strong>with</strong> the SCI development model, and it is found<br />
that although the model-only methods are attractive in that few costly hardware tests<br />
are required, they are not consistently successful, and sometimes the resulting tuning<br />
configurations actually degrade the hardware performance. Hardware optimization<br />
methods, on the other hand, find a working tuning configuration (given that one ex-<br />
ists), but generally require a large number of costly hardware tests. As an alternative,<br />
a hybrid method called isoperformance tuning is developed that utilizes the limited<br />
hardware performance data that is available to reduce the uncertainty space so that a<br />
robust tuning optimization performed on the model results in a tuning configuration<br />
that successfully improves the hardware performance. This method is superior to the<br />
model-only and hardware optimization methods in that is consistently successful for<br />
a large number of hardware simulations and requires only a small number of hardware<br />
tests.<br />
Finally the concepts of robust performance tailoring and dynamic tuning are com-<br />
bined to create a design methodology called <strong>Robust</strong> <strong>Performance</strong> <strong>Tailoring</strong> for <strong>Tuning</strong><br />
(RPTT). This design optimization anticipates the fact that hardware tuning may be<br />
employed and tailors the design to balance robustness to uncertainty and tuning au-<br />
thority thereby utilizing a two-step uncertainty mitigation scheme . The additional<br />
knowledge of the uncertainty provided by the hardware is anticipated by the tailor-<br />
ing optimization and the design variables are augmented to include different tuning<br />
parameters for each uncertainty realization in order to minimize the worst-case tuned<br />
performance over the uncertainty space. The result is a design that produces a robust<br />
system, instead of simply a robust design. Three different mathematical formulations<br />
of the RPTT optimization are presented and compared through application to the<br />
SCI development problem <strong>with</strong> both SA and SQP algorithms. The nominal, worst-<br />
case and tuned performances of the resulting RPTT design are compared to those<br />
of the PT and RPT designs over a range of uncertainty bounds. The nominal and<br />
worst-case performances of the RPTT design lie in between those of the PT and RPT<br />
designs. The nominal performance RMS is a little higher than that of the PT design,<br />
214