Ultimately Bounded PID Control for T-S Fuzzy Systems Under FlexRay Communication Protocol

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 12; pp. 4308 - 4320
• Main Authors: Wang, Yezheng, Wang, Zidong, Zou, Lei, Ma, Lifeng, Dong, Hongli
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Closed loops; Control systems design; Controllers; Feedback control; FlexRay communication protocol; Fuzzy control; Fuzzy systems; Networked control systems; networked control systems (NCSs); PD control; PI control; Proportional integral derivative; proportional–integral–derivative (PID) control; Protocols; Remote control; Remote sensors; ultimately bounded control
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2023.3282044

This article investigates the ultimately bounded proportional-integral-derivative (PID) control problem for a class of discrete-time Takagi-Sugeno fuzzy systems subject to unknown-but-bounded noises and protocol constraints. The signal transmissions from sensors to the remote controller are realized via a communication network, where the FlexRay protocol is employed to flexibly schedule the information exchange. The FlexRay protocol is characterized by both the time- and event-triggered mechanisms, which are conducted in a cyclic manner. By using a piecewise approach, the measurement outputs affected by the FlexRay protocol are established based on a switching model. Then, a fuzzy PID controller is proposed with a concise and realizable structure. To evaluate the performance of the controlled system, a special time sequence is introduced that accounts for the behavior of the FlexRay protocol. Subsequently, a general framework is obtained to verify the boundedness of the closed-loop system, and then, the controller gains are designed by minimizing the bound of the concerned variables. Finally, a simulation study is conducted to validate the effectiveness of the developed control scheme.