Exponential mean-square stabilisation for non-linear systems

Sampled-data fuzzy control approach

G. B. Koo, Jin Bae Park, Y. H. Joo

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This study presents a sampled-data fuzzy control problem for non-linear systems with packet losses. A Takagi-Sugeno (T-S) fuzzy model is adopted for the non-linear systems and the packet loss is separately considered for the independent, identically distributed and Markovian cases. The sampled-data fuzzy controllers are designed for a T-S fuzzy model. Based on the closed-loop system, sufficient conditions are derived for the exponential mean-square stabilisation and formulated in terms of linear matrix inequalities. Finally, a numerical example is provided to verify the effectiveness of the proposed technique.

Original languageEnglish
Pages (from-to)2765-2774
Number of pages10
JournalIET Control Theory and Applications
Volume6
Issue number18
DOIs
Publication statusPublished - 2012 Dec 6

Fingerprint

Sampled-data Control
Takagi-Sugeno Fuzzy Model
Packet Loss
Packet loss
Fuzzy control
Fuzzy Control
Mean Square
Nonlinear systems
Stabilization
Nonlinear Systems
Fuzzy Controller
Linear matrix inequalities
Closed loop systems
Identically distributed
Closed-loop System
Matrix Inequality
Linear Inequalities
Control Problem
Verify
Numerical Examples

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

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Exponential mean-square stabilisation for non-linear systems : Sampled-data fuzzy control approach. / Koo, G. B.; Park, Jin Bae; Joo, Y. H.

In: IET Control Theory and Applications, Vol. 6, No. 18, 06.12.2012, p. 2765-2774.

Research output: Contribution to journalArticle

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AB - This study presents a sampled-data fuzzy control problem for non-linear systems with packet losses. A Takagi-Sugeno (T-S) fuzzy model is adopted for the non-linear systems and the packet loss is separately considered for the independent, identically distributed and Markovian cases. The sampled-data fuzzy controllers are designed for a T-S fuzzy model. Based on the closed-loop system, sufficient conditions are derived for the exponential mean-square stabilisation and formulated in terms of linear matrix inequalities. Finally, a numerical example is provided to verify the effectiveness of the proposed technique.

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