Decentralized predictor output feedback for large-scale systems with large delays

Yang Zhu, Emilia Fridman*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

A majority of existing literature on time-delay systems focus on the robust stability of a single plant with respect to a “small” delay. This paper proposes a decentralized predictor-based feedback to compensate large delays for large-scale interconnected systems. The full-state of each subsystem is assumed to be unmeasurable and the observer-based output feedback is employed. Two methods are used to tackle the large delays: the backstepping-based partial differential equation (PDE) method is employed for continuous-time control, which derives simpler linear matrix inequality (LMI) conditions and manages with larger delays, whereas the reduction-based ordinary differential equation (ODE) method is applied to sampled-data implementation under continuous-time measurement. Instead of treating the large-scale systems as a whole, a decentralized Lyapunov-Krasovskii method is presented to guarantee the exponential stability of the large-scale systems under decentralized predictors.

Original languageEnglish
Pages (from-to)7527-7532
Number of pages6
JournalIFAC-PapersOnLine
Volume53
Issue number2
DOIs
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020

Keywords

  • Decentralized
  • Delay
  • Large-scale Systems
  • Output feedback
  • Predictor

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