A new sliding mode control approach for a class of uncertain Takagi-Sugeno fuzzy time-delay systems

In this paper, a new sliding-mode control method is studied for a class of uncertain fuzzy time delay system. The time-delay terms and parametric uncertainties in the systems are bounded time varying and mismatched, respectively. The reaching condition is satisfied with linear sliding surface based on linear matrix inequalities method. The simulation example is proposed to prove the system can derive exponential stability by using of the designed controller.