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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 1L


H∞ Fuzzy Control for a Class of Networked Control System

PP: 133-139
Ti-Hung Chen,
This paper presents the H¥ fuzzy controller design for a class of networked control system with “network transmission delay” and “data packet dropout.” First, we apply a Takagi-Sugeno fuzzy model (T-S fuzzy model) to approach the input-output relation of the networked control system (NCS). Based on the T-S fuzzy model, we propose a H¥ fuzzy controller design to inhibit the effect of “network transmission delay” and “data packet dropout,” and to guarantee the H¥ control performance of the overall system. Based on Lyapunov stability theorem, with the chosen Lyapunov-Krasovskii function, we analyze the stability and the robustness of the overall system, and obtain the Lyapunov stability criterion. After that, by using the Schur complements, the Lyapunov stability criterion would be presented in the linear matrix inequality format to solve the control problem more efficiently. Finally, the computer simulations are given to demonstrate the validity and the performance of the proposed control strategy.

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