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'''Closed-loop poles''' are the positions of the poles (or [[eigenvalue]]s) of a [[closed-loop transfer function]] in the [[s-plane]]. The [[open-loop controller|open-loop]] transfer function is equal to the product of all transfer function blocks in the [[forward path]] in the [[block diagram]]. The closed-loop transfer function is obtained by dividing the open-loop transfer function by the sum of one
In [[control theory]] there are two main methods of analyzing feedback systems: the [[transfer function]] (or frequency ___domain) method and the [[state space (controls)|state space]] method. When the transfer function method is used, attention is focused on the locations in the [[s-plane]] where the transfer function (the '''poles''') or zero (the '''zeroes'''). Two different transfer functions are of interest to the designer. If the feedback loops in the system are opened (that is prevented from operating) one speaks of the '''open-loop transfer function''', while if the feedback loops are operating normally one speaks of the '''closed-loop transfer function'''. For more on the relationship between the two see [[root-locus]].
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