Observer-based event-triggered interval type-2 T-S fuzzy <i>H</i> _∞ quantised tracking controller design

To address the problems of parameter uncertainty, constrained channel transmission, and external disturbances in networked control systems (NCSs), the design of an observer-based event-triggered interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy H∞ quantised tracking controller is proposed. First, the IT2 T-S fuzzy model of considering parameter uncertainty is established. Second, a dynamic event-triggered control (DETC) is introduced in the channel from the system output to the observer, which significantly reduces network traffic through an intelligent triggering strategy. Simultaneously, a dynamic quantizer is introduced between the IT2 T-S fuzzy model and the observer, and between the controller and the actuator, to alleviate bandwidth limitations. To derive sufficient conditions for the closed-loop system (CLS) to be asymptotically stable and meet the H∞ tracking performance specifications, this paper employs a lyapunov-krasovskii functional (LKF) to obtain solvable linear matrix inequalities (LMIs), from which the required conditions are derived. The design of ETC, dynamic quantizer, observer gain, and controller gain is achieved. Finally, simulation results for a buck circuit system show that the proposed method achieves a total transmission saving rate of 99.65% while ensuring tracking performance, effectively verifying the scheme's superiority in both control performance and resource savings.