Real-Time Reachable Set Synthesis of Takagi-Sugeno Fuzzy Uncertain Singular Systems Based on Adaptive Event-Triggered Scheme

Xudong Zhang, Liang Zhang, Xudong Zhao, Ning Zhao, Sanaa Sharaf

Abstract: In this paper, the problem of real-time reachable set synthesis for a type of Takagi–Sugeno fuzzy uncertain singular systems founded on an adaptive event-triggered strategy is discussed. Firstly, based on the adaptive event-triggered strategy, a proportional and differential feedback controller is designed to transform the singular system into a normal system to ensure the admissibility of the system. Secondly, combined with Lyapunov stability theory, the sufficient conditions of reachable set boundary are given in the form of linear matrix inequality, and the stability of closed-loop control system is verified. In addition, the required real-time reachable set boundary data and controller gains are calculated using the matrix decoupling approach. Finally, an actual DC motor model is used in the simulation part to verify the efficacy of the presented approach.