Architecture induced by distributed backstepping design

Mihailo Jovanovic, Bassam Bamieh

Research output: Contribution to journalArticlepeer-review

16 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 controller architecture induced by distributed backstepping design? In particular, we study the case in which we start backstepping design with decentralized control Lyapunov function (CLF), and cancel all interactions at each step of backstepping. For this control law we quantify the number of control induced interactions necessary to guarantee desired dynamical behavior of the infinite dimensional system. We also demonstrate how the controllers with favorable architectures can be designed.

Original languageEnglish (US)
Pages (from-to)108-113
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume52
Issue number1
DOIs
StatePublished - Jan 1 2007

Keywords

  • Controller architecture
  • Distributed backstepping design
  • Systems on lattices

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