Finite‐time dissipative control of fuzzy distributed parameter CPSs with quantization under cyber attacks

Abstract

The finite‐time dissipative control for a class of nonlinear distributed parameter Cyber‐Physical Systems (CPSs) is studied in this article. By replacing the nonlinear term with the Takagi‐Sugeno (T‐S) fuzzy model, the nonlinear distributed parameter CPSs are represented by a fuzzy parabolic partial differential equation (PDE). To reduce the transmission burden of communication channels, the state information is considered to be dynamically quantized before transmission. Then, a fuzzy state feedback controller under cyber attacks is designed. Sufficient design criteria for the fuzzy controller and the adjusting parameters of dynamic quantizer are developed to obtain the finite‐time dissipative performance of the fuzzy closed‐loop system by the free‐matrix inequality approach. Finally, a simulation study in a cascaded of two cylindrical lithium batteries is explored to validate the efficiency of the control strategy.