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 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 (C) 2010 John Wiley & Sons, Ltd.