Quantized Static Output Feedback Fuzzy Tracking Control for Discrete-Time Nonlinear Networked Systems With Asynchronous Event-Triggered Constraints

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 6; pp. 3820 - 3831
• Main Authors: Li, Zhi-Min, Chang, Xiao-Heng, Park, Ju H.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asynchronous event-triggered strategy; Communication channels; Communication networks; Control systems; Controllers; Discrete time systems; Fuzzy control; Linear matrix inequalities; Mathematical analysis; Nonlinear control; nonlinear networked systems; Nonlinear systems; Output feedback; quantization; Quantization (signal); State feedback; Takagi–Sugeno (T–S) fuzzy model; Tracking control
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2019.2931530

In this article, the <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{\infty } </tex-math></inline-formula> static output feedback tracking control problem is studied for discrete-time nonlinear networked systems subject to quantization effects and asynchronous event-triggered constraints. The Takagi-Sugeno (T-S) fuzzy model is utilized to represent the investigated nonlinear networked systems. A novel asynchronous event-triggered strategy is given to reduce the network communication burdens in both communication channels from the plant to the controller and from the reference model to the controller. The objective of this article is to design a quantized event-triggered tracking controller such that the resulting system is asymptotically stable and the given <inline-formula> <tex-math notation="LaTeX">\mathcal {H}_{\infty } </tex-math></inline-formula> tracking performance is guaranteed. The sufficient design conditions for the tracking controller are formulated in the form of the linear matrix inequalities (LMIs). Furthermore, a simulation example will be utilized to show the effectiveness of the developed design strategy.