Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay

Jian Chen, Chong Lin, Bing Chen, Qing Guo Wang

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

This paper is concerned with the admissibility analysis and stabilization problems for singular fuzzy discrete-time systems with time-varying delay. The novelty of this paper comes from the consideration of a new summation inequality which is less conservative than the usual Jensen inequality, the Abel-Lemma based inequality and the Seuret inequality. Based on the inequality, sufficient conditions are established to ensure the systems to be admissible. Moreover, the corresponding conditions for the existence of desired static output feedback controller gains are derived to guarantee that the closed-loop system is admissible. The conditions can be solved by a modified cone complementarity linearization (CCL) algorithm. Examples are given to show the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)116-131
Number of pages16
JournalInformation Sciences
Volume412-413
DOIs
Publication statusPublished - Oct 2017

Keywords

  • Admissibility
  • Discrete-time system
  • Static output feedback
  • T-S fuzzy model
  • Time-delay

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

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