AIMS Electronics and Electrical Engineering, 2019, 3(3): 257-273. doi: 10.3934/ElectrEng.2019.3.257

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H∞ disturbance attenuation of nonlinear networked control systems via Takagi-Sugeno fuzzy model

Jun Yoneyama

Department of Electrical Engineering and Electronics, Aoyama Gakuin University, 3-5-1 Fuchinobe, Chuo-ku, Sagamihara, Kanagawa 252-5258, Japan

Received: , Accepted: , Published:

Special Issues: Networked Control Systems - Theories and Applications

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H∞ disturbance attenuation of nonlinear networked systems which are described by the Takagi-Sugeno fuzzy time-delay systems is concerned. In the networked control system, the control signal is delayed and the closed-loop system with the controller can be modeled as a fuzzy system with time-varying delays in sensor and actuator nodes. The system often encounters the external noises that disturb its behaviors. For such a nonlinear system with delays, the H∞ disturbance attenuation problem is considered. Multiple Lyapunov-Krasovskii function with multiple integral functions allows us to obtain less conservative conditions for a networked control system to satisfy the disturbance attenuation criterion. Based on this approach, a novel control design method for a networked control system is proposed. An illustrative example is given to show the effectiveness of the proposed method.
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