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

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 emp...

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Main Authors: Songlin Hu, Dong Yue, Min Shi, Xiangpeng Xie
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/860438
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author Songlin Hu
Dong Yue
Min Shi
Xiangpeng Xie
author_facet Songlin Hu
Dong Yue
Min Shi
Xiangpeng Xie
author_sort Songlin Hu
collection DOAJ
description 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.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
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spelling doaj-art-72ddc10ece1443be9c36482166659eb12025-02-03T01:25:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/860438860438Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control SystemsSonglin Hu0Dong Yue1Min Shi2Xiangpeng Xie3College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaInstitute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaInstitute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaInstitute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaThis 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.http://dx.doi.org/10.1155/2014/860438
spellingShingle Songlin Hu
Dong Yue
Min Shi
Xiangpeng Xie
Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems
Abstract and Applied Analysis
title Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems
title_full Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems
title_fullStr Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems
title_full_unstemmed Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems
title_short Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems
title_sort discrete time event triggered control of nonlinear wireless networked control systems
url http://dx.doi.org/10.1155/2014/860438
work_keys_str_mv AT songlinhu discretetimeeventtriggeredcontrolofnonlinearwirelessnetworkedcontrolsystems
AT dongyue discretetimeeventtriggeredcontrolofnonlinearwirelessnetworkedcontrolsystems
AT minshi discretetimeeventtriggeredcontrolofnonlinearwirelessnetworkedcontrolsystems
AT xiangpengxie discretetimeeventtriggeredcontrolofnonlinearwirelessnetworkedcontrolsystems