The canonical controllers and regular interconnection

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A. Agung Julius, Jan C. Willems, Madhu N. Belur, Harry L. Trentelman

Published: 2005, Last Modified: 31 Jul 2025Syst. Control. Lett. 2005EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: We study the control problem from the point of view of the behavioral systems theory. Two controller constructions, called canonical controllers, are introduced. We prove that for linear time-invariant behaviors, the canonical controllers implement the desired behavior if and only if there exists a controller that implements it. We also investigate the regularity of the canonical controllers, and establish the fact that they are maximally irregular. This means a canonical controller is regular if and only if every other controller that implements the desired behavior is regular.