A general and systematic approach to controlling the longitudinal load transmissibility in a rod by coupling generalized substructures is presented. This approach illustrates the general concept of `substructure` by formulating the active controllers as virtual substructures coupled to the main structure. The dynamics and load transmissibility of a rod are modeled in modal state space form. The three control algorithms IMSC, ELVC and GSLQ are formulated as three different substructures as well as in state space form so that an explicit substructure dynamics can be realized. The performance of the different algorithms is based on the reaction force at the fixed end subject to a disturbance force at the other (free) end. A performance measure is defined as the reaction force ratio of the closed-loop (coupled with the substructure) to the open-loop (without the substructure). The performance of all three controllers or substructures is presented both in frequency and time. This general approach has provided a way to appreciate the effect of any substructure on the main structure. This has an important implication for designing substructures for the desired response of the coupled structure.
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