Robust H∞ output feedback control for type-2 Takagi-Sugeno fuzzy systems with multiple time-delays and disturbances: A descriptor redundancy approach

The H-infinity stability analysis and interval type-2 Takagi-Sugeno (T-S) fuzzy control is studied for a class of interval type-2 T-S fuzzy systems. Firstly, the interval type-2 T-S fuzzy model is employed to approximate the system plant. Secondly, the delay-dependent interval type-2 T-S fuzzy dynamic output feedback controller is designed. Thirdly, two classes of stability conditions in terms of linear matrix inequalities (LMIs) are derived, and the closed-loop system is asymptotically stable and prescribed H-infinity performance is achieved. The delay-dependent interval type-2 T-S fuzzy dynamic output feedback controller is designed to relax the control design conditions. The descriptor redundancy method is employed for avoiding the crossing vectors between the system gain matrices and controller gain matrices. The delay-dependent Lyapunov functional with descriptor redundancy matrix is introduced, and the upper and lower membership functions information is considered. Some slack matrices are introduced via the upper and lower membership functions information to solve the obtained LMIs. Finally, simulation examples are performed to show the effectiveness of the proposed methods.