H<sub>∞</sub> disturbance attenuation of nonlinear networked control systems via Takagi-Sugeno fuzzy model

Jun Yoneyama; Jun Yoneyama

doi:10.3934/ElectrEng.2019.3.257

AIMS Electronics and Electrical Engineering

2019, Volume 3, Issue 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: 01 February 2019 Accepted: 03 June 2019 Published: 02 July 2019

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.
- Takagi-Sugeno fuzzy systems,
- nonlinear systems,
- observer design,
- linear matrix inequality
Citation: Jun Yoneyama. H∞ disturbance attenuation of nonlinear networked control systems via Takagi-Sugeno fuzzy model[J]. AIMS Electronics and Electrical Engineering, 2019, 3(3): 257-273. doi: 10.3934/ElectrEng.2019.3.257

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Abstract

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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