A new discretized Lyapunov-Krasovskii functional for stability analysis and control design of time-delayed TS fuzzy systems

A new discretized Lyapunov-Krasovskii functional for stability analysis and control design of time-delayed TS fuzzy systems

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 nume...

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Veröffentlicht in:International journal of robust and nonlinear control 2011-01, Vol.21 (1), p.93-105
Hauptverfasser: Mozelli, L. A., Souza, Fernando O., Palhares, R. M.
Format: Artikel
Sprache:eng
Schlagworte:
Computational efficiency
Control systems
Design engineering
Fuzzy
Fuzzy logic
Fuzzy set theory
linear matrix inequality
Mathematical models
Stability analysis
Takagi-Sugeno fuzzy model
time-delay
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Zusammenfassung: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.
ISSN:1049-8923
1099-1239
1099-1239
DOI:10.1002/rnc.1585