Stabilization of Interval Type-2 T-S Fuzzy Systems via Time-Dependent Memory Sampled-Data Control and Its Applications

Subramanian Kuppusamy, Samson S. Yu, Hieu Minh Trinh, Peng Shi

Abstract: This article analyzes the stability and stabilization of interval type-2 (IT-2) Takagi–Sugeno (T–S) fuzzy systems by proposing novel time-dependent memory sampled-data control (TDMSDC) scheme based on the sampling-dependent functional approach. Unlike the existing studies, the novel TDMSDC, incorporates both conventional sampled-data control (SDC) and memory SDC schemes, along with the relation of sampling-time variable and time changes within the sampling period, is introduced. The novel TDMSDC overcomes the limitation of conventional SDC schemes, which only stays constant within the sampling period, thus enhancing control performance. Next, a sampling-dependent looped Lyapunov–Krasovskii functional, integrating information on sampling periods with various degrees, fuzzy membership function (MF), sampling-dependent matrices, and signal transmission delay, is constructed. Leveraging this novel functional and constraint condition of MFs, the asymptotic stability conditions are obtained in terms of linear matrix inequalities for IT-2 T–S fuzzy systems under the novel TDMSDC technique. Finally, the numerical examples demonstrate the superiority and efficiency of designed control method.

External IDs:dblp:journals/tfs/KuppusamyYTS24