On implementing on-line designed controller for smooth interconnection in the behavioral framework

In the behavioral setting, a controller is designed using the behavior of the plant, and the given desired behavior. Further, the synthesized controller makes an interconnection with the plant such that the interconnected system satisfies the desired behavior. However, at the time of interconnection it might not be possible. Here, first we design an on-line controller using the real-time measurements generated by the plant, and the given desired behavior. Secondly, we show a way to implement this on-line designed controller such that at the time of interconnection, the closed-loop satisfies the desired behavior. The novelty of the demonstrated approach lies in the fact that we do not have any a priori information about the plant in real-time.