Equivalent techniques, extra comparisons and less conservative control design for Takagi–Sugeno (TS) fuzzy systems

Author(s): L.A. Mozelli ; R.M. Palhares ; E.M.A.M. Mendes
DOI: 10.1049/iet-cta.2009.0210

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Author(s): L.A. Mozelli ¹ ; R.M. Palhares ² ; E.M.A.M. Mendes ²
- Affiliations: 1: Campus Alto Paraopeba, Federal University of São João del-Rei, Ouro Branco, Brazil
  2: Department of Electronics Engineering, Federal University of Minas Gerais, Belo Horizonte, Brazil
Source: Volume 4, Issue 12, December 2010, p. 2813 – 2822
DOI: 10.1049/iet-cta.2009.0210 , Print ISSN 1751-8644, Online ISSN 1751-8652

This study is divided in three parts. In the first part, the equivalence of recent strategies for stability analysis, namely the null term, the Finsler's lemma and the descriptor approach is demonstrated in the context of fuzzy Lyapunov functions (FLFs). In the sequel, this study presents new insights concerning the extension of typical right-hand side relaxations and the use of the FLF structure. Finally, an alternative less conservative non-parallel distributed compensation control design is proposed that generalises previous approaches.

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Equivalent techniques, extra comparisons and less conservative control design for Takagi–Sugeno (TS) fuzzy systems

Equivalent techniques, extra comparisons and less conservative control design for Takagi–Sugeno (TS) fuzzy systems

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