Architecture induced by distributed backstepping design

Mihailo R. Jovanović, Bassam Bamieh

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

An important problem in the distributed control of large-scale and infinite dimensional systems is related to the choice of the appropriate controller architecture. We utilize backstepping as a tool for distributed control of nonlinear infinite dimensional systems on lattices, and provide the answer to the following question: what is the worst case controller architecture induced by distributed backstepping design? We demonstrate that distributed backstepping design yields controllers that are intrinsically decentralized, with a strong similarity between plant and controller architectures. In particular, we study the 'worst case' control design in which all interactions are cancelled at each step of backstepping. Any other back-stepping strategy yields controllers with better information transmission properties. For this 'worst case' situation we quantify the number of control induced interactions necessary to guarantee desired dynamical behavior of the infinite dimensional system. We also provide an example of systems on lattices and show how the controllers with favorable architectures can be designed.

Original languageEnglish (US)
Article numberThC04.3
Pages (from-to)3774-3779
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
DOIs
StatePublished - Jan 1 2004
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: Dec 14 2004Dec 17 2004

Keywords

  • Controller Architecture
  • Distributed Back-stepping Design
  • Systems on Lattices

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