Controllability measures and actuator placement in oscillatory systems

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Abstract
Oscillatory systems provide a good linear description of large flexible space structures. Considering the problem of controllability measures for these systems leads to a design approach for actuator placement in such systems. It is shown that the mathematical form associated with an oscillatory system lends itself to a complete modal analysis that can be written in closed form. This available modal structure and the controllability measures are combined to yield a design approach for optimal placement of actuators in oscillatory systems.