Asynchronous Feedback Control for Delayed Fuzzy Degenerate Jump Systems Under Observer-Based Event-Driven Characteristic

This article is concerned with the issue of asynchronous feedback control for fuzzy degenerate jump systems with mode-dependent time-varying delays via Takagi-Sugeno fuzzy control technique under observer-based event-driven characteristic. The improved observer and event trigger transmit not only st...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2021-12, Vol.29 (12), p.3754-3768
Main Authors: Zhuang, Guangming, Sun, Wei, Su, Shun-Feng, Xia, Jianwei
Format: Article
Language:English
Subjects:
Asynchronous feedback control
Control systems
Delays
Feedback control
Fuzzy control
fuzzy degenerate jump systems (FDJSs)
Fuzzy systems
Hidden Markov models
hidden Markovian model (HMM)
Linear matrix inequalities
Mathematical analysis
nonperiodic sampling
observer and event trigger design
Observers
Robot arms
Stability analysis
System effectiveness
Time varying control
Time-varying systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This article is concerned with the issue of asynchronous feedback control for fuzzy degenerate jump systems with mode-dependent time-varying delays via Takagi-Sugeno fuzzy control technique under observer-based event-driven characteristic. The improved observer and event trigger transmit not only state estimate signals but also the information of Markovian jump modes to the controller under the networked nonperiodic sampling scheme. Applying parallel distributed compensation technique, the asynchronous fuzzy feedback controller is devised, and the asynchronous fuzzy controller modes are depicted by a hidden Markovian model, where the modes of fuzzy controller run asynchronously with that of the original degenerate fuzzy jump systems. Exponentially decreasing function is employed to devise the triggering threshold, which can ensure not only the admissibility of the delayed fuzzy degenerate jump systems but also the effectiveness of event-driven strategy. Original stochastic admissibility and asynchronous feedback control conditions are characterized by linear matrix inequalities. A numerical example and a single-link robot arm model are applied to illustrate the correctness and validity of the proposed observer-based event-driven asynchronous fuzzy feedback control technique.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2020.3027336