A new discretized Lyapunov–Krasovskii functional for stability analysis and control design of time‐delayed TS fuzzy systems |
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| Authors: | L A Mozelli Fernando O Souza R M Palhares |
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| Affiliation: | 1. Campus Alto Paraopeba, Federal University of S?o Jo?o del‐Rei, Rod. MG 443 Km 7, 36420, Ouro Branco, MG, Brazil;2. Department of Electronics Engineering, Federal University of Minas Gerais, Av. Ant?nio Carlos 6627, 31270‐010, Belo Horizonte, MG, Brazil |
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| Abstract: | This paper proposes a new Lyapunov–Krasovskii functional to cope with stability analysis and control design for time‐delay nonlinear systems modeled in the Takagi–Sugeno (TS) fuzzy form. The delay‐dependent conditions are formulated as linear matrix inequalities (LMIs), solvable through several numerical tools. By using the Gu's discretization technique and by employing an appropriated fuzzy functional, less conservative conditions are obtained. Numerical results illustrate the efficiency of the proposed methods. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | time‐delay Takagi– Sugeno fuzzy model linear matrix inequality |
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