T-S fuzzy control for a class of networked control system

In this paper, we will propose the T-S fuzzy controller design for a class of networked control system (NCS) with the network transmission delay and the data packet dropout. In the NCS, the controlled plant is approximated to the Takagi-Sugeno fuzzy model (T-S fuzzy model). Then, we propose the fuzzy controller design based on the T-S fuzzy model, to inhibit the effect of the network transmission delay and the data packet dropout, and to guarantee the stability of the overall system. Next, we analyze the stability and the robustness of the overall system by the Lyapunov-Krasovskii function and the Lyapunov stability theorem, and obtain the Lyapunov stability criterion. After that, the Lyapunov stability criterion would be presented in the linear matrix inequality format to solve the control problem more efficiently by using the Schur complements. Finally, the computer simulations are given to demonstrate the validity and the performance of the proposed control strategy.