What is the action of causing something to be in a certain state or position?

The action of causing something to be in a certain state or position is best captured by the term "position." This word specifically refers to the act of placing or arranging something in a particular location or orientation. In the context of this question, it emphasizes the physical or locational aspect of how an object or entity is organized.

The other options, while related, do not focus exclusively on the aspect of placing or arranging. "Establish" implies creating or founding something, which can include setting up systems or organizations, but doesn't inherently imply the act of positioning. "Modify" refers to making changes to something, indicating a sense of alteration rather than simply positioning. "Control" relates to the ability to influence or direct behavior or the course of events, which is more about governing or managing than about physical positioning. Thus, "position" is the most precise choice when it comes to the action described in the question.