Output Feedback Control for Fuzzy Systems Subject to Actuator Saturation Based on Fuzzy Lyapunov Functions

In this paper, a novel fuzzy gain-scheduling output feedback control method is presented for T-S fuzzy systems subject to actuator saturation. To deal with saturation nonlinearity, the dead-zone function of control input is treated as an additional controller input. With the help of set conclusion condition, the controller can be synthesised based on fuzzy Lyapunov functions to guarantee the exponential stability of the closed-loop system in a larger region and a better L₂ gain performance. Moreover, the full block S-procedure, which is widely used in robust control theory, is introduced to relax the synthesis conditions for T-S fuzzy systems to reduce the conservatism caused by quadratic terms in the conditions. Finally, a numerical example is provided to illustrates the effectiveness of the proposed control method.