A criterion for the optimum performance of a third-order contactor acceleration control system having complex roots is presented. This criterion determines the switching sequence of a contactor utilized to secure optimum performance and is hence called a switching criterion. Analytical and analog-computer methods are utilized to determine this criterion. The resulting optimum transient responses are presented and compared with those of a linear system. In order to introduce the methods involved, the switching criterion is first determined for a second-order system.
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