Observer-Based Two-Terminal Adaptive Event-Triggered Control for Networked T-S Fuzzy Systems

This article addresses the design of an observer-based controller for networked Takagi-Sugeno (T-S) fuzzy systems with a two-terminal adaptive event-triggered mechanism under imperfect premise matching. First, a novel event-triggered scheme is proposed to optimize the use of limited communication resources. A fuzzy observer with a premise variable different from that of the fuzzy plant is designed using the non-parallel distribution compensation (non-PDC) strategy. Additionally, a non-PDC fuzzy controller with independent fuzzy premises is introduced to enhance the structural flexibility and stabilize the system. To ensure smooth communication within a local network and improve data transmission efficiency, a two-terminal adaptive event-triggered mechanism is proposed, using a valuable time interval division method. Two event-triggered transmitters are placed in the communication channels on both sides of the observer. Second, by defining a Lyapunov functional containing time-varying delays and adaptive event-triggered conditions, a stability criterion is obtained for networked control systems. Third, less conservative membership-function-dependent stability conditions are derived based on linear matrix inequalities, considering the boundary information of membership functions. Finally, the reliability of the proposed scheme is illustrated by the simulation of two practical examples.