On the Internal Model Principle in the Coordination of Nonlinear Systems

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64 Citations (Scopus)

Abstract

The role of the internal model principle is investigated in this paper for the coordination of relative-degree-one and relative-degree-two nonlinear systems. For relative-degree-one systems that are incrementally (output-feedback) passive, we propose internal-model-based distributed control laws which guarantee output synchronization to an invariant manifold driven by autonomous synchronized internal models. For relative-degree-two systems, we consider a different internal-model-based distributed control framework for solving a formation control problem where the agents have to track a reference signal available only to the leader agent. In both cases, the local controller is also able to reject the disturbance signals generated by a local exosystem.
Original languageEnglish
Pages (from-to)272-282
Number of pages11
JournalIEEE Transactions on Control of Network Systems
Volume1
Issue number3
DOIs
Publication statusPublished - 1-Sept-2014

Keywords

  • distributed control
  • feedback
  • invariance
  • nonlinear control systems
  • synchronisation
  • agents
  • autonomous synchronized internal models
  • disturbance signals
  • formation control problem
  • internal model principle
  • internal-model-based distributed control laws
  • invariant manifold
  • leader agent
  • local controller
  • local exosystem
  • output synchronization
  • output-feedback
  • reference signal tracking
  • relative-degree-one nonlinear systems
  • relative-degree-two nonlinear systems
  • Decentralized control
  • Manifolds
  • Mathematical model
  • Nonlinear systems
  • Observability
  • Synchronization
  • Cooperative control
  • disturbance rejection
  • nonlinear systems
  • passivity
  • synchronization

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