Robust H 2 Control of Linear Systems with Mismatched Quantization

Mouquan Shen, Sing Kiong Nguang, Choon Ki Ahn, Qing Guo Wang

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

This paper is concerned with the $H_2$ control of linear systems with multiple quantization channels. The quantization parameters of each channel are not required to be identical. The resultant mismatches are represented by polytopic uncertainties. A composite controller composed of linear and nonlinear parts is designed to meet the required $H_2$ performance and offset the quantization error. Resorting to a vertex separation technique and Finsler lemma instead of matrix inverse operations, new synthesis conditions for the desired linear part are derived in terms of linear matrix inequalities, which are further extended to treat systems with norm-bounded uncertainties. A comparison of conservativeness between the proposed methods and the existing ones is demonstrated by two numerical examples.

Original languageEnglish
Article number8412539
Pages (from-to)1702-1709
Number of pages8
JournalIEEE Transactions on Automatic Control
Volume64
Issue number4
DOIs
Publication statusPublished - 2019 Apr

Keywords

  • Linear matrix inequalities (LMIs)
  • mismatched quantization
  • robust control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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