A New Design of H-Infinity Piecewise Filtering for Discrete-Time Nonlinear Time-Varying Delay Systems via T-S Fuzzy Affine Models

Yanling Wei, Jianbin Qiu, Peng Shi, Hak-Keung Lam

Research output: Contribution to journalArticlepeer-review

113 Citations (Scopus)
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Abstract

This paper proposes a novel delay-dependent approach to the piecewise-affine H-infinity filter design for discrete-time state-delayed nonlinear systems. The nonlinear plant is expressed by a Takagi-Sugeno fuzzy-affine model and the state delay is considered to be time-varying with available lower and upper bounds. The purpose is to design an admissible filter that guarantees the asymptotic stability of the resulting filtering error system (FES) with a prescribed disturbance attenuation level in an H-infinity sense. By applying a new piecewise-fuzzy Lyapunov-Krasovskii functional, combined with a novel summation inequality, improved reciprocally convex inequality and S-procedure, the H-infinity performance analysis criterion is first developed for the FES. Furthermore, the filter synthesis is carried out by some elegant convexification techniques. Finally, simulation examples are employed to confirm the effectiveness and less conservatism of the proposed methods.

Original languageEnglish
Article number7556378
Pages (from-to)2034-2047
Number of pages14
JournalIeee Transactions On Systems Man And Cybernetics Part A-Systems And Humans
Volume47
Issue number8
Early online date30 Aug 2016
DOIs
Publication statusPublished - 17 Jul 2017

Keywords

  • Filter design
  • new summation inequality
  • Takagi-Sugeno (T-S) fuzzy-affine systems
  • time-varying delay

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