H∞ control of interval Type-2 fuzzy logic system with time-delay partition method

The stabilization and H∞ performance of an interval Type-2 Takagi-Sugeno-Kang fuzzy logic control system (IT2 TSK FLCS) with constant time-delay is considered. The time-delay is divided into integer N parties, then a new Lyapunov-Krasovksii Function (LKF) based on variable N is created. The sufficient conditions of IT2 TSK FLCS with time-delay and H∞ performance are transformed in terms of linear matrix inequalities (LMIs) for MATLAB to do simulation calculation. By increasing the partition of time-delay, the conservativeness of the estimation of upper bounds of time-delay would reduce to some extend largely. A comparison example is presented to indicate improvements and the availability of the algorithm and controller.