An LMI approach to computing delayed perturbation bounds for stabilizing receding horizon H∞controls

Choon Ki Ahn, SooHee Han

Research output: Contribution to journalArticle

Abstract

This letter presents new delayed perturbation bounds (DPBs) for stabilizing receding horizon H∞ control (RHHC). The linear matrix inequality (LMI) approach to determination of DPBs for the RHHC is proposed. We showthrough a numerical example that the RHHC can guarantee an H∞ norm bound for a larger class of systems with delayed perturbations than conventional infinite horizon H∞ control (IHHC).

Original languageEnglish
Pages (from-to)879-882
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE91-A
Issue number3
DOIs
Publication statusPublished - 2008 Dec 1
Externally publishedYes

Fingerprint

Perturbation Bound
Linear matrix inequalities
Matrix Inequality
Linear Inequalities
Horizon
Computing
Infinite Horizon
Perturbation
Norm
Numerical Examples

Keywords

  • Continuous-time systems
  • Control (RHHC)
  • Delayed perturbation bound (DPB)
  • Linear matrix inequality (LMI)
  • Receding horizon H∞

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics
  • Signal Processing

Cite this

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AB - This letter presents new delayed perturbation bounds (DPBs) for stabilizing receding horizon H∞ control (RHHC). The linear matrix inequality (LMI) approach to determination of DPBs for the RHHC is proposed. We showthrough a numerical example that the RHHC can guarantee an H∞ norm bound for a larger class of systems with delayed perturbations than conventional infinite horizon H∞ control (IHHC).

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