Summary: | Single-Input-Multiple-Output (SIMO) systems are found in several applications. Some of the main concerns are (1) the possibility
of stabilizing all the outputs and (2) the possibility of attaining independent tracking control of all the outputs. Whereas the first
issue can be easily be elucidated, the second has proven to be impossible in all but a few systems. In many cases one practical option
is to use the input to drive a main output, taking care that the behavior of the remaining secondary outputs is acceptable. In this
configuration, in addition to the features of the main control loop, the perturbation rejection properties of the secondary outputs
become important. This article analyzes the structural properties, stability, and perturbation rejection characteristics of SIMO
systems. The article presents fundamental conclusions regarding the relationship of the main control loop and the perturbation
rejection characteristics of the secondary outputs. A simple and intuitive example is used to show how the theoretical findings can
be used to improve the design of the main control loop through its frequency domain characteristics. The results are developed
using simple frequency domain theoretical elements, making the findings relevant for both engineering applications and deriving
further theoretical developments.
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