Finite-time H∞ performance analysis for a kind of T-S fuzzy descriptor system with time-delay

The finite-time H_∞ performance analysis problems are investigated for T-S descriptor systems in this paper. The sufficient conditions are proposed such that the system is finite-time bounded and impulse free and satisfies a prescribed H_∞ norm bound. The obtained method is the ability to eliminate the impulsive behavior of descriptor systems so as to guarantee the existence and uniqueness of solutions. A positive matrix is constructed to overcome the difficulties which will result in an infeasible linear matrix inequality (LMI). By combining the FEASP solver with GEVP solver of the LMI toolbox, we perform simulations to validate the obtained methods for a nonlinear descriptor system via the T-S fuzzy model. It shows the application of the T-S fuzzy method in studying finite-time H_∞ performance analysis problems for a kind of nonlinear descriptor systems.