Large-scale control systems typically possess a hierarchical architecture in order to manage complexity. Higher levels of the hierarchy utilize coarser models of the system, resulting from aggregating the detailed lower level models. In this layered control paradigm, the notion of hierarchical consistency is important, as it ensures the implementation of high-level objectives by the lower level system. In this paper, we define a notion of modeling hierarchy for continuous control systems and obtain characterizations for hierarchically consistent linear systems with respect to controllability objectives. As an interesting byproduct, we obtain a hierarchical controllability criterion for linear systems from which we recover the best of the known controllability algorithms from numerical linear algebra.
Date of this Version
abstraction, consistency, controllability algorithms, hierarchical control, continuous time systems, controllability, hierarchical systems, large-scale systems, linear algebra, linear systems, consistency, continuous control systems, linear systems
Date Posted: 30 April 2005
This document has been peer reviewed.