A Sampled-Data Control Method Related to Time for Takagi–Sugeno Fuzzy Systems via Novel Sampling-Dependent Functional Approach

This article proposes a new sampled-data control method related to time for the stability and stabilization of Takagi–Sugeno (T-S) fuzzy systems, and provides a novel sampling-dependent functional approach to research the problem. The new sampled-data control signal involves sampling-time variable and changes with time, which is beneficial to improving control effect. As for the sampling-dependent functional approach, it improves the previously common functionals from the following two innovations. First, the distinctive basic term is able to combine aperiodic sampling in various degrees and thus become discontinuous. Second, the proposed sampling-dependent looped-functional terms are with different matrix variables for aperiodic sampling intervals. Therefore, the approach reduces the conservatism of the stability and stabilization results for the systems with aperiodic sampling. Finally, simulation examples are applied to numerically demonstrate the control effect and improvements of the new approaches and results.