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Article
Hierarchically Consistent Control Systems
Departmental Papers (ESE)
  • George J Pappas, University of Pennsylvania
  • Gerardo Lafferriere, Portland State University
  • Shankar Sastry, University of California, Berkeley
Abstract
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.
Document Type
Journal Article
Date of this Version
6-1-2000
Comments
Copyright 2000 IEEE. Reprinted from IEEE Transactions on Automatic Control, Volume 45, Issue 6, June 2000, pages 1144-1160.
Publisher URL: http://dx.doi.org/10.1109/9.863598

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Keywords
  • 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
Citation Information
George J Pappas, Gerardo Lafferriere and Shankar Sastry. "Hierarchically Consistent Control Systems" (2000)
Available at: http://works.bepress.com/george_pappas/211/