Sampled-data control of fuzzy systems based on the intelligent digital redesign method via an improved fuzzy Lyapunov functional approach

Han Sol Kim, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This study presents a linear matrix inequality (LMI) approach to the sampled-data control of Takagi-Sugeno fuzzy systems, based on the intelligent digital redesign (IDR) technique. The objective of the IDR is to design a digital control system whose trajectory closely matches that of a given well-constructed analogue control system by minimising the state-matching error. In this study, state-matching performance is enhanced by using a continuous-Time state-matching criterion, which guarantees that the state-matching error is minimised through the entire time interval. Unlike previous studies, mismatched information of membership functions for both analogue and digital control systems is directly manipulated. Moreover, the authors introduce an improved fuzzy Lyapunov functional that consists of both membership functions for analogue and digital control systems, which relaxes the conservativeness of LMI conditions. Finally, two examples demonstrating the effectiveness of the authors' method are provided.

Original languageEnglish
Pages (from-to)163-173
Number of pages11
JournalIET Control Theory and Applications
Volume12
Issue number1
DOIs
Publication statusPublished - 2018 Jan 2

Fingerprint

Digital Redesign
Sampled-data Control
Digital control systems
Lyapunov Functional
Fuzzy systems
Fuzzy Systems
Digital Control
Control System
Membership functions
Linear matrix inequalities
Analogue
Membership Function
Matrix Inequality
Linear Inequalities
Conservativeness
Takagi-Sugeno Fuzzy Systems
Trajectories
Control systems
Continuous Time
Entire

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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Sampled-data control of fuzzy systems based on the intelligent digital redesign method via an improved fuzzy Lyapunov functional approach. / Kim, Han Sol; Park, Jin Bae; Joo, Young Hoon.

In: IET Control Theory and Applications, Vol. 12, No. 1, 02.01.2018, p. 163-173.

Research output: Contribution to journalArticle

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