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Developement Of A Batch Mode For Conduit And Its ... - Cal Poly

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integrator in the lateral controller, the long-term response of these normalized signals<br />

behave similarly, regardless of the input signal. Thus, when normalized, a signal having<br />

a maximum angular response of 20°, corresponding to a system with a crossover of<br />

.001 rad/s (essentially open loop), has a similar time response to a signal with a<br />

maximum angular response of 2° and a crossover of 1rad/s. Therefore, the spec<br />

configuration had to be modified to better constrain the crossover of the system.<br />

The spec was modified so that it used the actual response of the system. In doing<br />

so, the spec ensures adequate damping of the system, and thus, a finite crossover. The<br />

values of the Level 1 envelope had a direct effect on the crossover of the system, the<br />

degree of which varied between the different flight conditions. To determine the limits of<br />

the envelope, the angular position and rate feedback gains were adjusted to produce a<br />

spectrum of responses for various crossover frequencies, at hover, 60kts, and 100kts. An<br />

input signal of sufficient magnitude was used such that saturation did not occur. It was<br />

found that to ensure a crossover in the range of .8rad/s < ω C < 3rad/s, the envelope had to<br />

limit the disturbance to within approximately 5.5°. The spec was modified to remove the<br />

normalization of the signal. Instead, the response was scaled so that a value of 5.5°<br />

corresponded to the 1° Level 1 boundaries from 0-10 seconds. Once again, the <strong>Batch</strong><br />

Problem was created and run. After viewing the results, it was found that these<br />

boundaries had to be reduced to 5° since the crossover frequencies of the optimized cases<br />

were much lower than those of the aforementioned test cases. The spec was modified<br />

once again, this time changing the actual boundaries of the spec. (since this new value<br />

was found to give reasonable results in all cases) The resulting spec is shown in the<br />

optimized baseline results of Figure 60.<br />

102

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