Robust digital control of fuzzy systems with parametric uncertainties: LMI-based digital redesign approach

Hwa Chang Sung, Do Wan Kim, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

This paper presents a new intelligent digital redesign (IDR) method for uncertain nonlinear systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. The term IDR involves converting an analog controller into an equivalent digital one in the sense of state-matching. The IDR problem can be reduced to finding the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital control systems. The uncertainties in the plant dynamics are considered in the IDR condition that plays an important role in the performance improvement. Also, the robust stability is well guaranteed in the proposed IDR procedure. Its constructive conditions are expressed as linear matrix inequalities (LMIs). Two numerical examples, the chaotic Lorenz system and the Qi system, are demonstrated to visualize the feasibility of the proposed methodology.

Original languageEnglish
Pages (from-to)919-933
Number of pages15
JournalFuzzy Sets and Systems
Volume161
Issue number6
DOIs
Publication statusPublished - 2010 Mar 16

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Digital Redesign
Digital control systems
Digital Control
Parametric Uncertainty
Chaotic systems
Fuzzy systems
Robust Control
Linear matrix inequalities
Fuzzy Systems
Matrix Inequality
Nonlinear systems
Linear Inequalities
Controllers
Analogue
Uncertain Nonlinear Systems
Takagi-Sugeno Fuzzy Model
Lorenz System
Robust Stability
Chaotic System
Closed-loop

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

Cite this

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Robust digital control of fuzzy systems with parametric uncertainties : LMI-based digital redesign approach. / Sung, Hwa Chang; Kim, Do Wan; Park, Jin Bae; Joo, Young Hoon.

In: Fuzzy Sets and Systems, Vol. 161, No. 6, 16.03.2010, p. 919-933.

Research output: Contribution to journalArticle

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