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Design of an Automatic Control Algorithm for Energy-Efficient ...

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Nomenclature x<br />

Other symbols<br />

Symbol Description<br />

� Objective values <strong>of</strong> <strong>an</strong> individual �<br />

� Objective values <strong>of</strong> <strong>an</strong> individual �<br />

� Function<br />

���, ��� Fitness, here: weighted sum<br />

� Constraint function<br />

�, � Limits <strong>for</strong> the objectives<br />

� Trajectory cost<br />

��� �� Vector with lower bounds <strong>for</strong> the design variables<br />

� Number<br />

�, � (P<strong>an</strong>ic) ordering<br />

�, � Priorities <strong>for</strong> the objectives<br />

���� Selection probability<br />

� R<strong>an</strong>dom value<br />

� �<br />

Exploration factor<br />

�, � <strong>Control</strong> output<br />

� Set <strong>of</strong> allowed control outputs<br />

��� �� Vector with upper bounds <strong>for</strong> the design variables<br />

�, � Weights <strong>for</strong> the objectives<br />

�, � System state<br />

� Set <strong>of</strong> allowed system states<br />

� ��<br />

Exploration factor in-/decrement<br />

�� Sample time<br />

� ���<br />

� ������<br />

Elite selection threshold percentage<br />

Maximum allowed dist<strong>an</strong>ces from the old control value<br />

�, � St<strong>an</strong>dard deviation<br />

�, � Final cost, objective (function)<br />

���� symbols indicate vectors.

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