Sliding-Mode Based Fixed-Time Control of Takagi-Sugeno Fuzzy Systems

In this paper, the fixed-time stabilization of Takagi-Sugeno (T-S) fuzzy system with discrete time delays and external disturbances is investigated via sliding-mode control. Firstly, a suitable controller and sliding-mode surface are designed. After that, by means of Lyapunov functions and inequality technique, state variables of T-S fuzzy system can achieve the designed sliding-mode surface in a fixed time, then keep on it. Finally, the validity of theoretical results is supported by two numerical examples.