Stabilization for T-S Fuzzy Sampled-Data Control Systems by a Modified Two-Side Looped Functional

The stabilization problem for T-S fuzzy sampled-data control systems is studied by a modified two-side looped functional in this paper. By making full use of realistic information about system and sampling interval, a modified two-side looped functional that contains two new system state integral terms is constructed to achieve a well control effect. With the help of two new system state integral terms, two zero equations can be obtained, and some free matrices are introduced in the process of deriving the stabilization condition, which can provide more degrees of freedom for the solution of the derived stabilization condition. Moreover, two adjustment parameters that can lead to a less conservative result also are introduced. Finally, the nonlinear Lorenz system is given to check the effectiveness of the designed sampling controller. The results illustrate the effectiveness of the modified two-side looped functional.