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18th annual conference on manual control.pdf - Acgsc.org

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visual threshold effects, as well as time delay and neuromuscula_ lag<br />

associated with the human pilot. More importantly, the OCMcan __ used<br />

to predict complex pilot compensati<strong>on</strong> likely to be present in tee c<strong>on</strong>trol<br />

of high-order dynamics, in c<strong>on</strong>trast to being restricted to <strong>on</strong>ly _.ead-lag<br />

compensati<strong>on</strong>. Finally, the objective of the pilot in the tracking task<br />

had to be inferred indirectly in the analysis of Neal and Smith, but is<br />

expressed directly in the objective functi<strong>on</strong> of the OCM. Specifically, the<br />

objective functi<strong>on</strong> found (from previous research) to be representative of<br />

a pilot's in the task may be expressed as<br />

fT<br />

: (16 (ec - 0)2 + (0c " _) + g(Fs)2)dt<br />

J(Fs) _ o<br />

where (oc - O) is the attitude error, and Fs is the stick force input of<br />

the<br />

pilot.<br />

Admittedl-y, the OCMblock diagram varies drastically from the classical,<br />

single loop structure. However, the OCMmay still be applied to estimate<br />

the pilot's equalizati<strong>on</strong> in a compensatory tracking task. To substantiate<br />

this fact, we have used the OCMto estimate spectral densities of the<br />

system's signals (e.g. plant and pilot input and outputs) and then compared<br />

tracking errors from both model structures. Integrating the spe=tral density<br />

over the frequency domain gives the variance of the signals in qJesti<strong>on</strong> by<br />

applying the following relati<strong>on</strong>.<br />

Rx(O ) = _ (m) dm : _X<br />

If the compensatory describing functi<strong>on</strong> is accurately estimated via<br />

the OCMwe should obtain comparable error and state variances. And indeed<br />

the estimated compensatory tracking describing functi<strong>on</strong> produced tracking<br />

errors within 4% of the OCM. 2_ ]

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