Switched output feedback H∞ control for T-S fuzzy systems via privacy protection

This paper studies the problem of dynamic output feedback H ∞ control for a class of T-S fuzzy systems with time-varying membership functions. For the fuzzy Lyapunov function, this paper constructs first-order and second-order membership-dependent Lyapunov functions, and divides the system operation region into different sub-intervals according to the sign of the derivatives of the membership functions(MFs). Dynamic output feedback controller gains are designed in each sub-interval, and the corresponding controllers are adjusted accordingly. This avoids the conservatism caused by the traditional boundedness assumption while ensuring that the closed-loop system achieves the prescribed H ∞ disturbance attenuation level. In addition, considering that the controller output signal may face the risk of privacy leakage during network transmission, this paper introduces an output masking mechanism to protect the privacy of the system state and output signal. Finally, the effectiveness of the proposed method is verified by numerical example.