Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT

Y−coordinate [m]
0.05
0.04
0.03
0.02
0.01
0
−0.01
−0.02
−0.03
−0.04
−0.05
Nominal PT
Worst−Case PT
−15 −10 −5 0 5 10 15
X−coordinate [m]
Figure 3-4: Mode shape of first bending mode for the nominal (–) and worst-case
(- -) uncertainty PT designs.
the probability of success for a mission it is desirable to design a system such that it
both meets performance requirements and is insensitive to model uncertainty. In the
following section common robust design techniques aimed at decreasing the sensitivity
of the design to the uncertainty parameters are discussed.
3.2 RPT Formulation
Robust performance tailoring accounts for the effects of uncertainty on the perfor-
mance predictions by minimizing a robust objective function, JRP T , in lieu of the
nominal performance:
min
�x JRP T (�x) (3.3)
s.t. �g (�x) ≤ 0
Unlike the PT optimization formulation, the RPT problem specifically accounts for
the fact that there is uncertainty in the model parameters by adding a robustness
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