We propose a new tableau construction which builds an FSM, instead of a Kripke structure, from a formula in a class of temporal logic named ASTL. This FSM is a maximal model of the formula under the preorder derived from simulation relations. Additionally, we propose a method using the tableaus to build controllers in a certain topology of interconnected FSMs. We can use ASTL to describe the desired behaviors of the control system. This method is applicable to generating digital circuits. Moreover, this method accepts a wider range of specifications than conventional methods.