A novel strategy is presented in this paper for addressing the stability analysis as well as \(H_\infty \) performance regarding T-S fuzzy systems with time delays and disturbances. First, we propose a distinctive line integral fuzzy Lyapunov function, addressing the limitations of traditional methods and the lack of flexibility in premise matching techniques. Second, a dynamic output feedback controller with fuzzy rules is devised with a view to handle time-varying delays and mismatched disturbances. This controller employs an equal quantity of fuzzy rules as those in the T-S model, yet uses distinct membership functions, enhancing the flexibility of the control framework. Third, through precise piecewise manipulation of integral terms, this study achieves the applicability of stability conditions for time-delay systems under broader delay evolution characteristics. Eventually, the results of theoretical analysis are applied to a simulation sample and the circuit system, achieving precise adjustment of the circuit parameters and stability control. This research not only advances fuzzy control theory but also provides a practical framework for dealing with complex systems.
