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

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RISK AND DECISION PROCESSES<br />

IN MANUAL CONTROL BEHAVIOUR<br />

TOM BOSSER<br />

Psychologisches Institut<br />

Westf_ilische Wilhelms-Universit_it<br />

Schlaunstr. 2<br />

D-4400 Mfinster<br />

ABSTRACT<br />

Manual c<strong>on</strong>trol behaviour with a RMS-error-criteri<strong>on</strong> is c<strong>on</strong>sidered a<br />

good approximati<strong>on</strong> to c<strong>on</strong>trol behaviour with similar symmetric errorweighting-functi<strong>on</strong>s,<br />

but not asymmetric <strong>on</strong>es. In order to test this, a<br />

compensatory tracking task with a sec<strong>on</strong>d error c<strong>on</strong>diti<strong>on</strong> is defined.<br />

Several experiments show that n<strong>on</strong>linear (asymmetric) tracking-behaviour<br />

arises under these c<strong>on</strong>diti<strong>on</strong>s. The adaptati<strong>on</strong> of the c<strong>on</strong>trol-behaviour to<br />

the payoff-c<strong>on</strong>diti<strong>on</strong>s can be c<strong>on</strong>sidered an instance of decisi<strong>on</strong>-making <strong>on</strong><br />

the basis of an expected-utiIity model.<br />

INTRODUCTION<br />

The 'describing-functi<strong>on</strong>'-approach to <strong>manual</strong> c<strong>on</strong>trol behaviour does<br />

not neccessarily require the quantificati<strong>on</strong> of the error according to an<br />

RMS-error-criteri<strong>on</strong> (where the error is the sum of squares of the deviati<strong>on</strong><br />

of the system-output from target). However, the statistical methodology<br />

available (system identificati<strong>on</strong> with stochastic test-signals) would<br />

make it rather difficult to use a different criteri<strong>on</strong> to describe<br />

performance of human subjects in <strong>manual</strong> c<strong>on</strong>trol behaviour. Training in<br />

tracking-tasks is usually based <strong>on</strong> this error-criteri<strong>on</strong>, and therefore<br />

subjects adapt to this property of the task. Experimental results can<br />

<strong>on</strong>ly be generalized to real tasks, when these have the same task-structure,<br />

and therefore the same laws may be assumed to govern behaviour<br />

under these c<strong>on</strong>diti<strong>on</strong>s. It has been suggested that this may not be the<br />

case for some tasks, e.g. distance-c<strong>on</strong>trol in driving a car (BOSSER<br />

1980).<br />

The basic rati<strong>on</strong>ale behind the use of the RMS-error-criteri<strong>on</strong> is<br />

that in most c<strong>on</strong>ceivable situati<strong>on</strong>s a larger deviati<strong>on</strong> from the target is<br />

given an unproporti<strong>on</strong>ally larger weight than a smalIer deviati<strong>on</strong>, and the<br />

directi<strong>on</strong> of the deviati<strong>on</strong> does not matter. This view impIies that the<br />

deviati<strong>on</strong> of system-state from the set-point or target is weighted<br />

according to the utility (gain or loss) associated with this deviati<strong>on</strong>.<br />

In Fig. 1 this is shown together with other c<strong>on</strong>ceivabie error-criteria.<br />

An error weighted proporti<strong>on</strong>al to the deviati<strong>on</strong> from the target may well<br />

arise e.g. in process-c<strong>on</strong>trol, where a deviati<strong>on</strong> from target may simply<br />

mean a loss of materiaI proporti<strong>on</strong>al to this deviati<strong>on</strong>. A discrete type<br />

of error-criteri<strong>on</strong> is the fixed-limit criteri<strong>on</strong>, where <strong>on</strong>ly the trans-

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