Dissipative Fuzzy Tracking Control for Nonlinear Networked Systems With Quantization

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 50; no. 12; pp. 5130 - 5141
• Main Authors: Li, Zhi-Min, Park, Ju H.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Communication channels; Control systems; Controllers; Counters; Discrete time systems; Dissipative tracking control; Fuzzy control; Fuzzy logic; Fuzzy systems; Linear matrix inequalities; Mathematical analysis; Measurement; Nonlinear control; Nonlinear control systems; nonlinear networked systems; Nonlinear systems; Output feedback; quantization; Quantization (signal); Takagi–Sugeno (T–S) fuzzy systems; Tracking control
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2018.2866996

In this paper, the quantized static output feedback dissipative tracking control problem is considered for a class of discrete-time nonlinear networked systems based on Takagi-Sugeno fuzzy model approach. The measurement output of the system, the output of the reference model, and the control input signals will be quantized by static quantizers before them being transmitted to the controller and the plant, respectively. The attention of this paper is focused on the design of the static output feedback tracking controller to asymptotically stabilize the nonlinear networked system and achieve strictly dissipative tracking performance subject to the quantization effects. Sufficient conditions for the existence of the static output feedback strictly dissipative tracking controller are expressed in terms of linear matrix inequalities. Two simulation examples are provided to show the effectiveness of the developed design method.