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Fuzzy-Affine-Model-Based Sampled-Data Filtering Design for Stochastic Nonlinear Systems

  • Jianbin Qiu*
  • , Wenqiang Ji
  • , Hak-Keung Lam
  • , Meng Wang
  • *Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

This article addresses the sampled-data piecewise affine (PWA) filter design problem for Itô stochastic nonlinear systems represented by Takagi-Sugeno fuzzy affine models. An input delay method is used to describe the sample-and-hold behavior of the measurement output. Based on a novel piecewise quadratic Lyapunov-Krasovskii functional, some new results on the robust sampled-data PWA filtering design are proposed through a linearization procedure by using some convexification techniques. Simulation studies on a tunnel diode circuit system, and an inverted pendulum system are given to illustrate the effectiveness of the proposed method.
Original languageEnglish
Pages (from-to)3360-3373
JournalIEEE Transactions on Fuzzy Systems
Volume29
Issue number11
Online published4 Sept 2021
DOIs
Publication statusPublished - Nov 2021

Research Keywords

  • Stochastic processes
  • Nonlinear systems
  • Delays
  • Biological system modeling
  • Silicon
  • Robustness
  • Electronic mail
  • Convex optimization
  • filtering design
  • sampled data
  • stochastic nonlinear systems
  • H-INFINITY CONTROL
  • STABILITY ANALYSIS
  • STABILIZATION

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