Discrete‐Time Event‐Triggered Control of Nonlinear Wireless Networked Control Systems

Songlin Hu, Dong Yue, Min Shi and Xiangpeng Xie

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper investigates the problem of stabilization of nonlinear discrete‐time networked control systems (NCSs) with event‐triggering communication scheme in the presence of signal transmission delay. A Takagi‐Sugeno (T‐S) fuzzy model and parallel‐distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy event‐triggered controller for the stabilization of nonlinear discrete‐time NCSs. The idea of the event‐triggering communication scheme (i.e., a soft computation algorithm) under consideration is that the current sensor data is transmitted only when the current sensor data and the previously transmitted one satisfy a certain state‐dependent trigger condition. By taking the signal transmission delay into consideration and using delay system approach, a T‐S fuzzy delay system model is established to describe the nonlinear discrete‐time NCSs with event‐triggering communication scheme. Attention is focused on the design of fuzzy event‐triggered controller which ensures asymptotic stability of the closed‐loop fuzzy systems. Linear matrix inequality‐ (LMI‐) based conditions are formulated for the existence of admissible fuzzy event‐triggered controller. If these conditions are feasible, a desired fuzzy event‐triggered controller can be readily constructed. A nonlinear mass‐spring‐damper mechanical system is presented to demonstrate the effectiveness of the proposed method.

Date: 2014
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https://doi.org/10.1155/2014/860438

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:860438

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